{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Smokes Friends Cancer\n",
    "\n",
    "A classic example of Statistical Relational Learning is the  smokers-friends-cancer example introduced in the [Markov Logic Networks paper (2006)](https://homes.cs.washington.edu/~pedrod/papers/mlj05.pdf).\n",
    "\n",
    "There are 14 people divided into two groups $\\{a,b,\\dots,h\\}$ and $\\{i,j,\\dots,n\\}$. \n",
    "- Within each group, there is complete knowledge about smoking habits. \n",
    "- In the first group, there is complete knowledge about who has and who does not have cancer. \n",
    "- Knowledge about the friendship relation is complete within each group only if symmetry is assumed, that is, $\\forall x,y \\ (friends(x,y) \\rightarrow friends(y,x))$. Otherwise, knowledge about friendship is incomplete in that it may be known that e.g.\\ $a$ is a friend of $b$, and it may be not known whether $b$ is a friend of $a$.\n",
    "- Finally, there is general knowledge about smoking, friendship and cancer, namely that smoking causes cancer, friendship is normally symmetric and anti-reflexive, everyone has a friend, and smoking propagates (actively or passively) among friends. \n",
    "\n",
    "One can formulate this task easily in LTN as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import logging; logging.basicConfig(level=logging.INFO)\n",
    "import math\n",
    "\n",
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "\n",
    "import ltn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.set_printoptions(suppress=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "pd.options.display.max_rows=999\n",
    "pd.options.display.max_columns=999\n",
    "pd.set_option('display.width',1000)\n",
    "pd.options.display.float_format = '{:,.2f}'.format\n",
    "\n",
    "def plt_heatmap(df, vmin=None, vmax=None):\n",
    "    plt.pcolor(df, vmin=vmin, vmax=vmax)\n",
    "    plt.yticks(np.arange(0.5,len(df.index),1),df.index)\n",
    "    plt.xticks(np.arange(0.5,len(df.columns),1),df.columns)\n",
    "    plt.colorbar()\n",
    "    \n",
    "pd.set_option('precision',2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Language\n",
    "\n",
    "- LTN constants are used to denote the individuals. Each is grounded as a trainable embedding.\n",
    "- The `Smokes`, `Friends`, `Cancer` predicates are grounded as simple MLPs.\n",
    "- All the rules in the preamble are formulate in the knowledgebase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2021-08-31 03:54:19.028589: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.036104: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.036720: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.037896: I tensorflow/core/platform/cpu_feature_guard.cc:142] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations:  AVX2 AVX512F FMA\n",
      "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n",
      "2021-08-31 03:54:19.038389: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.038984: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.039528: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.630627: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.631271: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.631853: I tensorflow/stream_executor/cuda/cuda_gpu_executor.cc:937] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero\n",
      "2021-08-31 03:54:19.632393: I tensorflow/core/common_runtime/gpu/gpu_device.cc:1510] Created device /job:localhost/replica:0/task:0/device:GPU:0 with 13798 MB memory:  -> device: 0, name: Tesla T4, pci bus id: 0000:00:1e.0, compute capability: 7.5\n"
     ]
    }
   ],
   "source": [
    "embedding_size = 5\n",
    "\n",
    "g1 = {l:ltn.Constant(np.random.uniform(low=0.0,high=1.0,size=embedding_size),trainable=True) for l in 'abcdefgh'}\n",
    "g2 = {l:ltn.Constant(np.random.uniform(low=0.0,high=1.0,size=embedding_size),trainable=True) for l in 'ijklmn'}\n",
    "g = {**g1,**g2}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "Smokes = ltn.Predicate.MLP([embedding_size],hidden_layer_sizes=(8,8))\n",
    "Friends = ltn.Predicate.MLP([embedding_size,embedding_size],hidden_layer_sizes=(8,8))\n",
    "Cancer = ltn.Predicate.MLP([embedding_size],hidden_layer_sizes=(8,8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "friends = [('a','b'),('a','e'),('a','f'),('a','g'),('b','c'),('c','d'),('e','f'),('g','h'),\n",
    "           ('i','j'),('j','m'),('k','l'),('m','n')]\n",
    "smokes = ['a','e','f','g','j','n']\n",
    "cancer = ['a','e']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "Not = ltn.Wrapper_Connective(ltn.fuzzy_ops.Not_Std())\n",
    "And = ltn.Wrapper_Connective(ltn.fuzzy_ops.And_Prod())\n",
    "Or = ltn.Wrapper_Connective(ltn.fuzzy_ops.Or_ProbSum())\n",
    "Implies = ltn.Wrapper_Connective(ltn.fuzzy_ops.Implies_Reichenbach())\n",
    "Forall = ltn.Wrapper_Quantifier(ltn.fuzzy_ops.Aggreg_pMeanError(p=2),semantics=\"forall\")\n",
    "Exists = ltn.Wrapper_Quantifier(ltn.fuzzy_ops.Aggreg_pMean(p=6),semantics=\"exists\")\n",
    "\n",
    "formula_aggregator = ltn.Wrapper_Formula_Aggregator(ltn.fuzzy_ops.Aggreg_pMeanError())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the knowledge-base is not satisfiable in the strict logical sense of the word.\n",
    "For instance, the individual $f$ is said to smoke but not to have cancer, which is inconsistent with the rule $\\forall x \\ (S(x) \\rightarrow C(x))$.\n",
    "Hence, it is important to adopt a probabilistic approach as done with MLN or a many-valued fuzzy logic interpretation as done with LTN."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# defining the theory\n",
    "@tf.function\n",
    "def axioms(p_exists):\n",
    "    \"\"\"\n",
    "    NOTE: we update the embeddings at each step\n",
    "        -> we should re-compute the variables.\n",
    "    \"\"\"\n",
    "    p = ltn.Variable.from_constants(\"p\",list(g.values()))\n",
    "    q = ltn.Variable.from_constants(\"q\",list(g.values()))\n",
    "    axioms = []\n",
    "    # Friends: knowledge incomplete in that\n",
    "    #     Friend(x,y) with x<y may be known\n",
    "    #     but Friend(y,x) may not be known\n",
    "\n",
    "    axioms.append(formula_aggregator(\n",
    "            [Friends([g[x],g[y]]) for (x,y) in friends]))\n",
    "    axioms.append(formula_aggregator(\n",
    "            [Not(Friends([g[x],g[y]])) for x in g1 for y in g1 if (x,y) not in friends and x<y ]+\\\n",
    "            [Not(Friends([g[x],g[y]])) for x in g2 for y in g2 if (x,y) not in friends and x<y ]))\n",
    "    # Smokes: knowledge complete\n",
    "    axioms.append(formula_aggregator(\n",
    "            [Smokes(g[x]) for x in smokes]))\n",
    "    axioms.append(formula_aggregator(\n",
    "            [Not(Smokes(g[x])) for x in g if x not in smokes]))\n",
    "    # Cancer: knowledge complete in g1 only\n",
    "    axioms.append(formula_aggregator(\n",
    "            [Cancer(g[x]) for x in cancer]))\n",
    "    axioms.append(formula_aggregator(\n",
    "            [Not(Cancer(g[x])) for x in g1 if x not in cancer]))\n",
    "    # friendship is anti-reflexive\n",
    "    axioms.append(Forall(p,Not(Friends([p,p])),p=5))\n",
    "    # friendship is symmetric\n",
    "    axioms.append(Forall((p,q),Implies(Friends([p,q]),Friends([q,p])),p=5))\n",
    "    # everyone has a friend\n",
    "    axioms.append(Forall(p,Exists(q,Friends([p,q]),p=p_exists)))\n",
    "    # smoking propagates among friends\n",
    "    axioms.append(Forall((p,q),Implies(And(Friends([p,q]),Smokes(p)),Smokes(q))))\n",
    "    # smoking causes cancer + not smoking causes not cancer\n",
    "    axioms.append(Forall(p,Implies(Smokes(p),Cancer(p))))\n",
    "    axioms.append(Forall(p,Implies(Not(Smokes(p)),Not(Cancer(p)))))\n",
    "    # computing sat_level\n",
    "    sat_level = formula_aggregator(axioms).tensor\n",
    "    return sat_level"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2021-08-31 03:54:24.143335: I tensorflow/compiler/mlir/mlir_graph_optimization_pass.cc:185] None of the MLIR Optimization Passes are enabled (registered 2)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<tf.Tensor: shape=(), dtype=float32, numpy=0.5711357>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "axioms(p_exists=tf.constant(1.))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 0: Sat Level 0.572\n",
      "Epoch 200: Sat Level 0.698\n",
      "Epoch 400: Sat Level 0.784\n",
      "Epoch 600: Sat Level 0.829\n",
      "Epoch 800: Sat Level 0.844\n",
      "Epoch 1000: Sat Level 0.851\n",
      "Epoch 1200: Sat Level 0.856\n",
      "Epoch 1400: Sat Level 0.856\n",
      "Epoch 1600: Sat Level 0.856\n",
      "Epoch 1800: Sat Level 0.857\n",
      "Training finished at Epoch 1999 with Sat Level 0.857\n"
     ]
    }
   ],
   "source": [
    "trainable_variables = \\\n",
    "        Smokes.trainable_variables \\\n",
    "        + Friends.trainable_variables \\\n",
    "        + Cancer.trainable_variables \\\n",
    "        + ltn.as_tensors(list(g.values()))\n",
    "optimizer = tf.keras.optimizers.Adam(learning_rate=0.001)\n",
    "\n",
    "for epoch in range(2000):\n",
    "    if 0 <= epoch < 400:\n",
    "        p_exists = tf.constant(1.)\n",
    "    else:\n",
    "        p_exists = tf.constant(6.)\n",
    "    with tf.GradientTape() as tape:\n",
    "        loss_value = 1. - axioms(p_exists=p_exists)\n",
    "    grads = tape.gradient(loss_value, trainable_variables)\n",
    "    optimizer.apply_gradients(zip(grads, trainable_variables))\n",
    "    if epoch%200 == 0:\n",
    "        print(\"Epoch %d: Sat Level %.3f\"%(epoch, axioms(p_exists=p_exists)))\n",
    "print(\"Training finished at Epoch %d with Sat Level %.3f\"%(epoch, axioms(p_exists=p_exists)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Results\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_smokes_cancer_facts = pd.DataFrame(\n",
    "        np.array([[(x in smokes), (x in cancer) if x in g1 else math.nan] for x in g]),\n",
    "        columns=[\"Smokes\",\"Cancer\"],\n",
    "        index=list('abcdefghijklmn'))\n",
    "df_friends_ah_facts = pd.DataFrame(\n",
    "        np.array([[((x,y) in friends) if x<y else math.nan for x in g1] for y in g1]),\n",
    "        index = list('abcdefgh'),\n",
    "        columns = list('abcdefgh'))\n",
    "df_friends_in_facts = pd.DataFrame(\n",
    "        np.array([[((x,y) in friends) if x<y else math.nan for x in g2] for y in g2]),\n",
    "        index = list('ijklmn'),\n",
    "        columns = list('ijklmn'))\n",
    "\n",
    "p = ltn.Variable.from_constants(\"p\",list(g.values()))\n",
    "q = ltn.Variable.from_constants(\"q\",list(g.values()))\n",
    "df_smokes_cancer = pd.DataFrame(\n",
    "        tf.stack([Smokes(p).tensor,Cancer(p).tensor],axis=1).numpy(),\n",
    "        columns=[\"Smokes\",\"Cancer\"],\n",
    "        index=list('abcdefghijklmn'))\n",
    "\n",
    "pred_friends = Friends([p,q]).tensor\n",
    "df_friends_ah = pd.DataFrame(\n",
    "        pred_friends[:8,:8].numpy(),\n",
    "        index=list('abcdefgh'),\n",
    "        columns=list('abcdefgh'))\n",
    "df_friends_in = pd.DataFrame(\n",
    "        pred_friends[8:,8:].numpy(),\n",
    "        index=list('ijklmn'),\n",
    "        columns=list('ijklmn'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['font.size'] = 12\n",
    "plt.rcParams['axes.linewidth'] = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Incomplete facts in the knowledge-base: axioms for smokers for individuals $a$ to $n$ and for cancer for individuals $a$ to $h$ (left), friendship relations in group 1 (middle), and friendship relations in group 2 (right)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "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<svg height=\"213.0355pt\" version=\"1.1\" viewBox=\"0 0 707.385324 213.0355\" width=\"707.385324pt\" 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>2021-08-31T03:55:40.593596</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, 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 0 213.0355 \nL 707.385324 213.0355 \nL 707.385324 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 25.88875 187.22175 \nL 183.441691 187.22175 \nL 183.441691 24.14175 \nL 25.88875 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_1\">\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 187.22175 \nL 25.88875 175.573179 \nL 104.665221 175.573179 \nL 104.665221 187.22175 \nL 25.88875 187.22175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 187.22175 \nL 104.665221 175.573179 \nL 183.441691 175.573179 \nL 183.441691 187.22175 \nL 104.665221 187.22175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 175.573179 \nL 25.88875 163.924607 \nL 104.665221 163.924607 \nL 104.665221 175.573179 \nL 25.88875 175.573179 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 175.573179 \nL 104.665221 163.924607 \nL 183.441691 163.924607 \nL 183.441691 175.573179 \nL 104.665221 175.573179 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 163.924607 \nL 25.88875 152.276036 \nL 104.665221 152.276036 \nL 104.665221 163.924607 \nL 25.88875 163.924607 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 163.924607 \nL 104.665221 152.276036 \nL 183.441691 152.276036 \nL 183.441691 163.924607 \nL 104.665221 163.924607 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 152.276036 \nL 25.88875 140.627464 \nL 104.665221 140.627464 \nL 104.665221 152.276036 \nL 25.88875 152.276036 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 152.276036 \nL 104.665221 140.627464 \nL 183.441691 140.627464 \nL 183.441691 152.276036 \nL 104.665221 152.276036 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 140.627464 \nL 25.88875 128.978893 \nL 104.665221 128.978893 \nL 104.665221 140.627464 \nL 25.88875 140.627464 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 140.627464 \nL 104.665221 128.978893 \nL 183.441691 128.978893 \nL 183.441691 140.627464 \nL 104.665221 140.627464 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 128.978893 \nL 25.88875 117.330321 \nL 104.665221 117.330321 \nL 104.665221 128.978893 \nL 25.88875 128.978893 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 128.978893 \nL 104.665221 117.330321 \nL 183.441691 117.330321 \nL 183.441691 128.978893 \nL 104.665221 128.978893 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 117.330321 \nL 25.88875 105.68175 \nL 104.665221 105.68175 \nL 104.665221 117.330321 \nL 25.88875 117.330321 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 117.330321 \nL 104.665221 105.68175 \nL 183.441691 105.68175 \nL 183.441691 117.330321 \nL 104.665221 117.330321 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 105.68175 \nL 25.88875 94.033179 \nL 104.665221 94.033179 \nL 104.665221 105.68175 \nL 25.88875 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 104.665221 105.68175 \nL 104.665221 94.033179 \nL 183.441691 94.033179 \nL 183.441691 105.68175 \nL 104.665221 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 94.033179 \nL 25.88875 82.384607 \nL 104.665221 82.384607 \nL 104.665221 94.033179 \nL 25.88875 94.033179 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 82.384607 \nL 25.88875 70.736036 \nL 104.665221 70.736036 \nL 104.665221 82.384607 \nL 25.88875 82.384607 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 70.736036 \nL 25.88875 59.087464 \nL 104.665221 59.087464 \nL 104.665221 70.736036 \nL 25.88875 70.736036 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 59.087464 \nL 25.88875 47.438893 \nL 104.665221 47.438893 \nL 104.665221 59.087464 \nL 25.88875 59.087464 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 47.438893 \nL 25.88875 35.790321 \nL 104.665221 35.790321 \nL 104.665221 47.438893 \nL 25.88875 47.438893 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p3ad913455a)\" d=\"M 25.88875 35.790321 \nL 25.88875 24.14175 \nL 104.665221 24.14175 \nL 104.665221 35.790321 \nL 25.88875 35.790321 \nz\n\" style=\"fill:#fde725;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m4a14f84d8e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.276985\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- Smokes -->\n      <g transform=\"translate(41.877923 203.339875)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 3425 4513 \nL 3425 3897 \nQ 3066 4069 2747 4153 \nQ 2428 4238 2131 4238 \nQ 1616 4238 1336 4038 \nQ 1056 3838 1056 3469 \nQ 1056 3159 1242 3001 \nQ 1428 2844 1947 2747 \nL 2328 2669 \nQ 3034 2534 3370 2195 \nQ 3706 1856 3706 1288 \nQ 3706 609 3251 259 \nQ 2797 -91 1919 -91 \nQ 1588 -91 1214 -16 \nQ 841 59 441 206 \nL 441 856 \nQ 825 641 1194 531 \nQ 1563 422 1919 422 \nQ 2459 422 2753 634 \nQ 3047 847 3047 1241 \nQ 3047 1584 2836 1778 \nQ 2625 1972 2144 2069 \nL 1759 2144 \nQ 1053 2284 737 2584 \nQ 422 2884 422 3419 \nQ 422 4038 858 4394 \nQ 1294 4750 2059 4750 \nQ 2388 4750 2728 4690 \nQ 3069 4631 3425 4513 \nz\n\" id=\"DejaVuSans-53\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" id=\"DejaVuSans-6b\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.476562\" xlink:href=\"#DejaVuSans-6d\"/>\n       <use x=\"160.888672\" xlink:href=\"#DejaVuSans-6f\"/>\n       <use x=\"222.070312\" xlink:href=\"#DejaVuSans-6b\"/>\n       <use x=\"276.355469\" xlink:href=\"#DejaVuSans-65\"/>\n       <use x=\"337.878906\" xlink:href=\"#DejaVuSans-73\"/>\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=\"144.053456\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- Cancer -->\n      <g transform=\"translate(122.926893 203.339875)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 4122 4306 \nL 4122 3641 \nQ 3803 3938 3442 4084 \nQ 3081 4231 2675 4231 \nQ 1875 4231 1450 3742 \nQ 1025 3253 1025 2328 \nQ 1025 1406 1450 917 \nQ 1875 428 2675 428 \nQ 3081 428 3442 575 \nQ 3803 722 4122 1019 \nL 4122 359 \nQ 3791 134 3420 21 \nQ 3050 -91 2638 -91 \nQ 1578 -91 968 557 \nQ 359 1206 359 2328 \nQ 359 3453 968 4101 \nQ 1578 4750 2638 4750 \nQ 3056 4750 3426 4639 \nQ 3797 4528 4122 4306 \nz\n\" id=\"DejaVuSans-43\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3122 3366 \nL 3122 2828 \nQ 2878 2963 2633 3030 \nQ 2388 3097 2138 3097 \nQ 1578 3097 1268 2742 \nQ 959 2388 959 1747 \nQ 959 1106 1268 751 \nQ 1578 397 2138 397 \nQ 2388 397 2633 464 \nQ 2878 531 3122 666 \nL 3122 134 \nQ 2881 22 2623 -34 \nQ 2366 -91 2075 -91 \nQ 1284 -91 818 406 \nQ 353 903 353 1747 \nQ 353 2603 823 3093 \nQ 1294 3584 2113 3584 \nQ 2378 3584 2631 3529 \nQ 2884 3475 3122 3366 \nz\n\" id=\"DejaVuSans-63\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-43\"/>\n       <use x=\"69.824219\" xlink:href=\"#DejaVuSans-61\"/>\n       <use x=\"131.103516\" xlink:href=\"#DejaVuSans-6e\"/>\n       <use x=\"194.482422\" xlink:href=\"#DejaVuSans-63\"/>\n       <use x=\"249.462891\" xlink:href=\"#DejaVuSans-65\"/>\n       <use x=\"310.986328\" xlink:href=\"#DejaVuSans-72\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_3\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mac2e3a7330\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"181.397464\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- a -->\n      <g transform=\"translate(11.535 185.956527)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-61\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"169.748893\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- b -->\n      <g transform=\"translate(11.270625 174.307955)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\nM 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nL 1159 0 \nL 581 0 \nL 581 4863 \nL 1159 4863 \nL 1159 2969 \nz\n\" id=\"DejaVuSans-62\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-62\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"158.100321\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- c -->\n      <g transform=\"translate(12.290625 162.659384)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-63\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"146.45175\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- d -->\n      <g transform=\"translate(11.270625 151.010812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-64\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"134.803179\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- e -->\n      <g transform=\"translate(11.505 139.362241)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-65\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"123.154607\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- f -->\n      <g transform=\"translate(14.664375 127.71367)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2375 4863 \nL 2375 4384 \nL 1825 4384 \nQ 1516 4384 1395 4259 \nQ 1275 4134 1275 3809 \nL 1275 3500 \nL 2222 3500 \nL 2222 3053 \nL 1275 3053 \nL 1275 0 \nL 697 0 \nL 697 3053 \nL 147 3053 \nL 147 3500 \nL 697 3500 \nL 697 3744 \nQ 697 4328 969 4595 \nQ 1241 4863 1831 4863 \nL 2375 4863 \nz\n\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-66\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"111.506036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- g -->\n      <g transform=\"translate(11.270625 116.065098)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-67\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"99.857464\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- h -->\n      <g transform=\"translate(11.28375 104.416527)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 4863 \nL 1159 4863 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-68\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-68\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_9\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"88.208893\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- i -->\n      <g transform=\"translate(15.555 92.767955)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-69\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_10\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"76.560321\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- j -->\n      <g transform=\"translate(15.555 81.119384)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 -63 \nQ 1178 -731 923 -1031 \nQ 669 -1331 103 -1331 \nL -116 -1331 \nL -116 -844 \nL 38 -844 \nQ 366 -844 484 -692 \nQ 603 -541 603 -63 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6a\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-6a\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_11\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"64.91175\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- k -->\n      <g transform=\"translate(11.94 69.470812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6b\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_12\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"53.263179\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- l -->\n      <g transform=\"translate(15.555 57.822241)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-6c\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_13\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"41.614607\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- m -->\n      <g transform=\"translate(7.2 46.17367)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6d\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_14\">\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mac2e3a7330\" y=\"29.966036\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- n -->\n      <g transform=\"translate(11.28375 34.525098)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6e\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 25.88875 187.22175 \nL 25.88875 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 183.441691 187.22175 \nL 183.441691 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 25.88875 187.22175 \nL 183.441691 187.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 25.88875 24.14175 \nL 183.441691 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 193.28875 187.22175 \nL 201.44275 187.22175 \nL 201.44275 24.14175 \nL 193.28875 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p71e5c77273)\" d=\"M 193.28875 187.22175 \nL 193.28875 186.584719 \nL 193.28875 24.778781 \nL 193.28875 24.14175 \nL 201.44275 24.14175 \nL 201.44275 24.778781 \nL 201.44275 186.584719 \nL 201.44275 187.22175 \nL 201.44275 187.22175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"163\" id=\"imageb6ecf11151\" transform=\"scale(1 -1)translate(0 -163)\" width=\"8\" x=\"193\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAgAAACjCAYAAAC31F+mAAABG0lEQVR4nNWY260CMQwF/cqtjBrovxAgtwOPpcNGC7+xxuNj7RLwRzy3NZ/y8O7cyjP7AvOAgoQCDySQA7aQJc0hKJZkAjkEtaBtGkYtS24mqJJfaEGErRNoFwdaWH8+cMCod7+rI5JMwF0wQW0xGJMK5DEHQekOWHC55B3GNL0FFdwiqOtb3IHwE7swb+96R7ZpQQ56krIDPpt6kkiAC+mAoE/hLEkOtAskoEMgAQvaY7OK+ACBxkwmgGTSFOmXSwZLEsFUQsmSRUExQR6z4g0FsuSiFrpkyoTlJIljEgGfi4GDSsCglr/UFvqYBoQ/OSgkYA5Jkgd2MSDgmDDFoAW9SJnQnlslfHnXot/+C64gFdwC/tEaEKot+AcjKG+SDNshLQAAAABJRU5ErkJggg==\" y=\"-24\"/>\n   <g id=\"matplotlib.axis_3\"/>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_15\">\n     <g id=\"line2d_17\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"mf1ea07b285\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#mf1ea07b285\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_17\">\n      <!-- 0.0 -->\n      <g transform=\"translate(208.44275 191.780812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_16\">\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#mf1ea07b285\" y=\"154.60575\"/>\n      </g>\n     </g>\n     <g id=\"text_18\">\n      <!-- 0.2 -->\n      <g transform=\"translate(208.44275 159.164812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_17\">\n     <g id=\"line2d_19\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#mf1ea07b285\" y=\"121.98975\"/>\n      </g>\n     </g>\n     <g id=\"text_19\">\n      <!-- 0.4 -->\n      <g transform=\"translate(208.44275 126.548812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_18\">\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#mf1ea07b285\" y=\"89.37375\"/>\n      </g>\n     </g>\n     <g id=\"text_20\">\n      <!-- 0.6 -->\n      <g transform=\"translate(208.44275 93.932812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_19\">\n     <g id=\"line2d_21\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#mf1ea07b285\" y=\"56.75775\"/>\n      </g>\n     </g>\n     <g id=\"text_21\">\n      <!-- 0.8 -->\n      <g transform=\"translate(208.44275 61.316812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_20\">\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#mf1ea07b285\" y=\"24.14175\"/>\n      </g>\n     </g>\n     <g id=\"text_22\">\n      <!-- 1.0 -->\n      <g transform=\"translate(208.44275 28.700812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_9\">\n    <path d=\"M 193.28875 187.22175 \nL 193.28875 186.584719 \nL 193.28875 24.778781 \nL 193.28875 24.14175 \nL 201.44275 24.14175 \nL 201.44275 24.778781 \nL 201.44275 186.584719 \nL 201.44275 187.22175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_10\">\n    <path d=\"M 262.218162 187.22175 \nL 419.771103 187.22175 \nL 419.771103 24.14175 \nL 262.218162 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_2\">\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 262.218162 166.83675 \nL 262.218162 146.45175 \nL 281.912279 146.45175 \nL 281.912279 166.83675 \nL 262.218162 166.83675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 262.218162 146.45175 \nL 262.218162 126.06675 \nL 281.912279 126.06675 \nL 281.912279 146.45175 \nL 262.218162 146.45175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 281.912279 146.45175 \nL 281.912279 126.06675 \nL 301.606397 126.06675 \nL 301.606397 146.45175 \nL 281.912279 146.45175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 262.218162 126.06675 \nL 262.218162 105.68175 \nL 281.912279 105.68175 \nL 281.912279 126.06675 \nL 262.218162 126.06675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 281.912279 126.06675 \nL 281.912279 105.68175 \nL 301.606397 105.68175 \nL 301.606397 126.06675 \nL 281.912279 126.06675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 301.606397 126.06675 \nL 301.606397 105.68175 \nL 321.300515 105.68175 \nL 321.300515 126.06675 \nL 301.606397 126.06675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 262.218162 105.68175 \nL 262.218162 85.29675 \nL 281.912279 85.29675 \nL 281.912279 105.68175 \nL 262.218162 105.68175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 281.912279 105.68175 \nL 281.912279 85.29675 \nL 301.606397 85.29675 \nL 301.606397 105.68175 \nL 281.912279 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 301.606397 105.68175 \nL 301.606397 85.29675 \nL 321.300515 85.29675 \nL 321.300515 105.68175 \nL 301.606397 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 321.300515 105.68175 \nL 321.300515 85.29675 \nL 340.994632 85.29675 \nL 340.994632 105.68175 \nL 321.300515 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 262.218162 85.29675 \nL 262.218162 64.91175 \nL 281.912279 64.91175 \nL 281.912279 85.29675 \nL 262.218162 85.29675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 281.912279 85.29675 \nL 281.912279 64.91175 \nL 301.606397 64.91175 \nL 301.606397 85.29675 \nL 281.912279 85.29675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 301.606397 85.29675 \nL 301.606397 64.91175 \nL 321.300515 64.91175 \nL 321.300515 85.29675 \nL 301.606397 85.29675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 321.300515 85.29675 \nL 321.300515 64.91175 \nL 340.994632 64.91175 \nL 340.994632 85.29675 \nL 321.300515 85.29675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 340.994632 85.29675 \nL 340.994632 64.91175 \nL 360.68875 64.91175 \nL 360.68875 85.29675 \nL 340.994632 85.29675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 262.218162 64.91175 \nL 262.218162 44.52675 \nL 281.912279 44.52675 \nL 281.912279 64.91175 \nL 262.218162 64.91175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 281.912279 64.91175 \nL 281.912279 44.52675 \nL 301.606397 44.52675 \nL 301.606397 64.91175 \nL 281.912279 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 301.606397 64.91175 \nL 301.606397 44.52675 \nL 321.300515 44.52675 \nL 321.300515 64.91175 \nL 301.606397 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 321.300515 64.91175 \nL 321.300515 44.52675 \nL 340.994632 44.52675 \nL 340.994632 64.91175 \nL 321.300515 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 340.994632 64.91175 \nL 340.994632 44.52675 \nL 360.68875 44.52675 \nL 360.68875 64.91175 \nL 340.994632 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 360.68875 64.91175 \nL 360.68875 44.52675 \nL 380.382868 44.52675 \nL 380.382868 64.91175 \nL 360.68875 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 262.218162 44.52675 \nL 262.218162 24.14175 \nL 281.912279 24.14175 \nL 281.912279 44.52675 \nL 262.218162 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 281.912279 44.52675 \nL 281.912279 24.14175 \nL 301.606397 24.14175 \nL 301.606397 44.52675 \nL 281.912279 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 301.606397 44.52675 \nL 301.606397 24.14175 \nL 321.300515 24.14175 \nL 321.300515 44.52675 \nL 301.606397 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 321.300515 44.52675 \nL 321.300515 24.14175 \nL 340.994632 24.14175 \nL 340.994632 44.52675 \nL 321.300515 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 340.994632 44.52675 \nL 340.994632 24.14175 \nL 360.68875 24.14175 \nL 360.68875 44.52675 \nL 340.994632 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 360.68875 44.52675 \nL 360.68875 24.14175 \nL 380.382868 24.14175 \nL 380.382868 44.52675 \nL 360.68875 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p2a033c7b62)\" d=\"M 380.382868 44.52675 \nL 380.382868 24.14175 \nL 400.076985 24.14175 \nL 400.076985 44.52675 \nL 380.382868 44.52675 \nz\n\" style=\"fill:#fde725;\"/>\n   </g>\n   <g id=\"matplotlib.axis_5\">\n    <g id=\"xtick_3\">\n     <g id=\"line2d_23\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"272.065221\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_23\">\n      <!-- a -->\n      <g transform=\"translate(268.388346 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-61\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"291.759338\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_24\">\n      <!-- b -->\n      <g transform=\"translate(287.950276 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-62\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_25\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"311.453456\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_25\">\n      <!-- c -->\n      <g transform=\"translate(308.154393 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-63\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"331.147574\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_26\">\n      <!-- d -->\n      <g transform=\"translate(327.338511 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-64\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_27\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"350.841691\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_27\">\n      <!-- e -->\n      <g transform=\"translate(347.149816 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-65\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_28\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"370.535809\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_28\">\n      <!-- f -->\n      <g transform=\"translate(368.423621 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-66\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_29\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"390.229926\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_29\">\n      <!-- g -->\n      <g transform=\"translate(386.420864 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-67\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_10\">\n     <g id=\"line2d_30\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"409.924044\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_30\">\n      <!-- h -->\n      <g transform=\"translate(406.121544 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-68\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_21\">\n     <g id=\"line2d_31\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"177.02925\"/>\n      </g>\n     </g>\n     <g id=\"text_31\">\n      <!-- a -->\n      <g transform=\"translate(247.864412 181.588312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-61\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_22\">\n     <g id=\"line2d_32\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"156.64425\"/>\n      </g>\n     </g>\n     <g id=\"text_32\">\n      <!-- b -->\n      <g transform=\"translate(247.600037 161.203312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-62\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_23\">\n     <g id=\"line2d_33\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"136.25925\"/>\n      </g>\n     </g>\n     <g id=\"text_33\">\n      <!-- c -->\n      <g transform=\"translate(248.620037 140.818312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-63\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_24\">\n     <g id=\"line2d_34\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"115.87425\"/>\n      </g>\n     </g>\n     <g id=\"text_34\">\n      <!-- d -->\n      <g transform=\"translate(247.600037 120.433312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-64\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_25\">\n     <g id=\"line2d_35\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"95.48925\"/>\n      </g>\n     </g>\n     <g id=\"text_35\">\n      <!-- e -->\n      <g transform=\"translate(247.834412 100.048312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-65\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_26\">\n     <g id=\"line2d_36\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"75.10425\"/>\n      </g>\n     </g>\n     <g id=\"text_36\">\n      <!-- f -->\n      <g transform=\"translate(250.993787 79.663312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-66\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_27\">\n     <g id=\"line2d_37\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"54.71925\"/>\n      </g>\n     </g>\n     <g id=\"text_37\">\n      <!-- g -->\n      <g transform=\"translate(247.600037 59.278312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-67\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_28\">\n     <g id=\"line2d_38\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mac2e3a7330\" y=\"34.33425\"/>\n      </g>\n     </g>\n     <g id=\"text_38\">\n      <!-- h -->\n      <g transform=\"translate(247.613162 38.893312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-68\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 262.218162 187.22175 \nL 262.218162 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 419.771103 187.22175 \nL 419.771103 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 262.218162 187.22175 \nL 419.771103 187.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 262.218162 24.14175 \nL 419.771103 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_39\">\n    <!-- Friend(x,y) in Group 1 -->\n    <g transform=\"translate(262.496632 18.14175)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 3309 4666 \nL 3309 4134 \nL 1259 4134 \nL 1259 2759 \nL 3109 2759 \nL 3109 2228 \nL 1259 2228 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-46\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1984 4856 \nQ 1566 4138 1362 3434 \nQ 1159 2731 1159 2009 \nQ 1159 1288 1364 580 \nQ 1569 -128 1984 -844 \nL 1484 -844 \nQ 1016 -109 783 600 \nQ 550 1309 550 2009 \nQ 550 2706 781 3412 \nQ 1013 4119 1484 4856 \nL 1984 4856 \nz\n\" id=\"DejaVuSans-28\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 750 794 \nL 1409 794 \nL 1409 256 \nL 897 -744 \nL 494 -744 \nL 750 256 \nL 750 794 \nz\n\" id=\"DejaVuSans-2c\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2059 -325 \nQ 1816 -950 1584 -1140 \nQ 1353 -1331 966 -1331 \nL 506 -1331 \nL 506 -850 \nL 844 -850 \nQ 1081 -850 1212 -737 \nQ 1344 -625 1503 -206 \nL 1606 56 \nL 191 3500 \nL 800 3500 \nL 1894 763 \nL 2988 3500 \nL 3597 3500 \nL 2059 -325 \nz\n\" id=\"DejaVuSans-79\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 513 4856 \nL 1013 4856 \nQ 1481 4119 1714 3412 \nQ 1947 2706 1947 2009 \nQ 1947 1309 1714 600 \nQ 1481 -109 1013 -844 \nL 513 -844 \nQ 928 -128 1133 580 \nQ 1338 1288 1338 2009 \nQ 1338 2731 1133 3434 \nQ 928 4138 513 4856 \nz\n\" id=\"DejaVuSans-29\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3809 666 \nL 3809 1919 \nL 2778 1919 \nL 2778 2438 \nL 4434 2438 \nL 4434 434 \nQ 4069 175 3628 42 \nQ 3188 -91 2688 -91 \nQ 1594 -91 976 548 \nQ 359 1188 359 2328 \nQ 359 3472 976 4111 \nQ 1594 4750 2688 4750 \nQ 3144 4750 3555 4637 \nQ 3966 4525 4313 4306 \nL 4313 3634 \nQ 3963 3931 3569 4081 \nQ 3175 4231 2741 4231 \nQ 1884 4231 1454 3753 \nQ 1025 3275 1025 2328 \nQ 1025 1384 1454 906 \nQ 1884 428 2741 428 \nQ 3075 428 3337 486 \nQ 3600 544 3809 666 \nz\n\" id=\"DejaVuSans-47\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"50.269531\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"91.382812\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"119.166016\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"180.689453\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"244.068359\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"307.544922\" xlink:href=\"#DejaVuSans-28\"/>\n     <use x=\"346.558594\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"405.738281\" xlink:href=\"#DejaVuSans-2c\"/>\n     <use x=\"437.525391\" xlink:href=\"#DejaVuSans-79\"/>\n     <use x=\"496.705078\" xlink:href=\"#DejaVuSans-29\"/>\n     <use x=\"535.71875\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"567.505859\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"595.289062\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"658.667969\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"690.455078\" xlink:href=\"#DejaVuSans-47\"/>\n     <use x=\"767.945312\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"806.808594\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"867.990234\" xlink:href=\"#DejaVuSans-75\"/>\n     <use x=\"931.369141\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"994.845703\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"1026.632812\" xlink:href=\"#DejaVuSans-31\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_4\">\n   <g id=\"patch_15\">\n    <path d=\"M 429.618162 187.22175 \nL 437.772162 187.22175 \nL 437.772162 24.14175 \nL 429.618162 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path clip-path=\"url(#pe08f5ad343)\" d=\"M 429.618162 187.22175 \nL 429.618162 186.584719 \nL 429.618162 24.778781 \nL 429.618162 24.14175 \nL 437.772162 24.14175 \nL 437.772162 24.778781 \nL 437.772162 186.584719 \nL 437.772162 187.22175 \nL 437.772162 187.22175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"163\" id=\"image26a61196fc\" transform=\"scale(1 -1)translate(0 -163)\" width=\"8\" x=\"430\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAgAAACjCAYAAAC31F+mAAABG0lEQVR4nNWY260CMQwF/cqtjBrovxAgtwOPpcNGC7+xxuNj7RLwRzy3NZ/y8O7cyjP7AvOAgoQCDySQA7aQJc0hKJZkAjkEtaBtGkYtS24mqJJfaEGErRNoFwdaWH8+cMCod7+rI5JMwF0wQW0xGJMK5DEHQekOWHC55B3GNL0FFdwiqOtb3IHwE7swb+96R7ZpQQ56krIDPpt6kkiAC+mAoE/hLEkOtAskoEMgAQvaY7OK+ACBxkwmgGTSFOmXSwZLEsFUQsmSRUExQR6z4g0FsuSiFrpkyoTlJIljEgGfi4GDSsCglr/UFvqYBoQ/OSgkYA5Jkgd2MSDgmDDFoAW9SJnQnlslfHnXot/+C64gFdwC/tEaEKot+AcjKG+SDNshLQAAAABJRU5ErkJggg==\" y=\"-24\"/>\n   <g id=\"matplotlib.axis_7\"/>\n   <g id=\"matplotlib.axis_8\">\n    <g id=\"ytick_29\">\n     <g id=\"line2d_39\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#mf1ea07b285\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_40\">\n      <!-- 0.0 -->\n      <g transform=\"translate(444.772162 191.780812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_30\">\n     <g id=\"line2d_40\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#mf1ea07b285\" y=\"154.60575\"/>\n      </g>\n     </g>\n     <g id=\"text_41\">\n      <!-- 0.2 -->\n      <g transform=\"translate(444.772162 159.164812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_31\">\n     <g id=\"line2d_41\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#mf1ea07b285\" y=\"121.98975\"/>\n      </g>\n     </g>\n     <g id=\"text_42\">\n      <!-- 0.4 -->\n      <g transform=\"translate(444.772162 126.548812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_32\">\n     <g id=\"line2d_42\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#mf1ea07b285\" y=\"89.37375\"/>\n      </g>\n     </g>\n     <g id=\"text_43\">\n      <!-- 0.6 -->\n      <g transform=\"translate(444.772162 93.932812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_33\">\n     <g id=\"line2d_43\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#mf1ea07b285\" y=\"56.75775\"/>\n      </g>\n     </g>\n     <g id=\"text_44\">\n      <!-- 0.8 -->\n      <g transform=\"translate(444.772162 61.316812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_34\">\n     <g id=\"line2d_44\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#mf1ea07b285\" y=\"24.14175\"/>\n      </g>\n     </g>\n     <g id=\"text_45\">\n      <!-- 1.0 -->\n      <g transform=\"translate(444.772162 28.700812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_2\"/>\n   <g id=\"patch_17\">\n    <path d=\"M 429.618162 187.22175 \nL 429.618162 186.584719 \nL 429.618162 24.778781 \nL 429.618162 24.14175 \nL 437.772162 24.14175 \nL 437.772162 24.778781 \nL 437.772162 186.584719 \nL 437.772162 187.22175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_5\">\n   <g id=\"patch_18\">\n    <path d=\"M 498.547574 187.22175 \nL 656.100515 187.22175 \nL 656.100515 24.14175 \nL 498.547574 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_3\">\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 498.547574 160.04175 \nL 498.547574 132.86175 \nL 524.806397 132.86175 \nL 524.806397 160.04175 \nL 498.547574 160.04175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 498.547574 132.86175 \nL 498.547574 105.68175 \nL 524.806397 105.68175 \nL 524.806397 132.86175 \nL 498.547574 132.86175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 524.806397 132.86175 \nL 524.806397 105.68175 \nL 551.065221 105.68175 \nL 551.065221 132.86175 \nL 524.806397 132.86175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 498.547574 105.68175 \nL 498.547574 78.50175 \nL 524.806397 78.50175 \nL 524.806397 105.68175 \nL 498.547574 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 524.806397 105.68175 \nL 524.806397 78.50175 \nL 551.065221 78.50175 \nL 551.065221 105.68175 \nL 524.806397 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 551.065221 105.68175 \nL 551.065221 78.50175 \nL 577.324044 78.50175 \nL 577.324044 105.68175 \nL 551.065221 105.68175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 498.547574 78.50175 \nL 498.547574 51.32175 \nL 524.806397 51.32175 \nL 524.806397 78.50175 \nL 498.547574 78.50175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 524.806397 78.50175 \nL 524.806397 51.32175 \nL 551.065221 51.32175 \nL 551.065221 78.50175 \nL 524.806397 78.50175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 551.065221 78.50175 \nL 551.065221 51.32175 \nL 577.324044 51.32175 \nL 577.324044 78.50175 \nL 551.065221 78.50175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 577.324044 78.50175 \nL 577.324044 51.32175 \nL 603.582868 51.32175 \nL 603.582868 78.50175 \nL 577.324044 78.50175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 498.547574 51.32175 \nL 498.547574 24.14175 \nL 524.806397 24.14175 \nL 524.806397 51.32175 \nL 498.547574 51.32175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 524.806397 51.32175 \nL 524.806397 24.14175 \nL 551.065221 24.14175 \nL 551.065221 51.32175 \nL 524.806397 51.32175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 551.065221 51.32175 \nL 551.065221 24.14175 \nL 577.324044 24.14175 \nL 577.324044 51.32175 \nL 551.065221 51.32175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 577.324044 51.32175 \nL 577.324044 24.14175 \nL 603.582868 24.14175 \nL 603.582868 51.32175 \nL 577.324044 51.32175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p94c5e5124f)\" d=\"M 603.582868 51.32175 \nL 603.582868 24.14175 \nL 629.841691 24.14175 \nL 629.841691 51.32175 \nL 603.582868 51.32175 \nz\n\" style=\"fill:#fde725;\"/>\n   </g>\n   <g id=\"matplotlib.axis_9\">\n    <g id=\"xtick_11\">\n     <g id=\"line2d_45\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"511.676985\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_46\">\n      <!-- i -->\n      <g transform=\"translate(510.01011 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-69\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_12\">\n     <g id=\"line2d_46\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"537.935809\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_47\">\n      <!-- j -->\n      <g transform=\"translate(536.268934 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6a\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_13\">\n     <g id=\"line2d_47\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"564.194632\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_48\">\n      <!-- k -->\n      <g transform=\"translate(560.720257 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6b\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_14\">\n     <g id=\"line2d_48\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"590.453456\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_49\">\n      <!-- l -->\n      <g transform=\"translate(588.786581 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6c\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_15\">\n     <g id=\"line2d_49\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"616.712279\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_50\">\n      <!-- m -->\n      <g transform=\"translate(610.867904 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6d\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_16\">\n     <g id=\"line2d_50\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"642.971103\" xlink:href=\"#m4a14f84d8e\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_51\">\n      <!-- n -->\n      <g transform=\"translate(639.168603 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6e\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_10\">\n    <g id=\"ytick_35\">\n     <g id=\"line2d_51\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mac2e3a7330\" y=\"173.63175\"/>\n      </g>\n     </g>\n     <g id=\"text_52\">\n      <!-- i -->\n      <g transform=\"translate(488.213824 178.190812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-69\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_36\">\n     <g id=\"line2d_52\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mac2e3a7330\" y=\"146.45175\"/>\n      </g>\n     </g>\n     <g id=\"text_53\">\n      <!-- j -->\n      <g transform=\"translate(488.213824 151.010812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6a\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_37\">\n     <g id=\"line2d_53\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mac2e3a7330\" y=\"119.27175\"/>\n      </g>\n     </g>\n     <g id=\"text_54\">\n      <!-- k -->\n      <g transform=\"translate(484.598824 123.830812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6b\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_38\">\n     <g id=\"line2d_54\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mac2e3a7330\" y=\"92.09175\"/>\n      </g>\n     </g>\n     <g id=\"text_55\">\n      <!-- l -->\n      <g transform=\"translate(488.213824 96.650812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6c\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_39\">\n     <g id=\"line2d_55\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mac2e3a7330\" y=\"64.91175\"/>\n      </g>\n     </g>\n     <g id=\"text_56\">\n      <!-- m -->\n      <g transform=\"translate(479.858824 69.470812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6d\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_40\">\n     <g id=\"line2d_56\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mac2e3a7330\" y=\"37.73175\"/>\n      </g>\n     </g>\n     <g id=\"text_57\">\n      <!-- n -->\n      <g transform=\"translate(483.942574 42.290812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6e\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_19\">\n    <path d=\"M 498.547574 187.22175 \nL 498.547574 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path d=\"M 656.100515 187.22175 \nL 656.100515 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path d=\"M 498.547574 187.22175 \nL 656.100515 187.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path d=\"M 498.547574 24.14175 \nL 656.100515 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_58\">\n    <!-- Friend(x,y) in Group 2 -->\n    <g transform=\"translate(498.826044 18.14175)scale(0.144 -0.144)\">\n     <use xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"50.269531\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"91.382812\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"119.166016\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"180.689453\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"244.068359\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"307.544922\" xlink:href=\"#DejaVuSans-28\"/>\n     <use x=\"346.558594\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"405.738281\" xlink:href=\"#DejaVuSans-2c\"/>\n     <use x=\"437.525391\" xlink:href=\"#DejaVuSans-79\"/>\n     <use x=\"496.705078\" xlink:href=\"#DejaVuSans-29\"/>\n     <use x=\"535.71875\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"567.505859\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"595.289062\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"658.667969\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"690.455078\" xlink:href=\"#DejaVuSans-47\"/>\n     <use x=\"767.945312\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"806.808594\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"867.990234\" xlink:href=\"#DejaVuSans-75\"/>\n     <use x=\"931.369141\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"994.845703\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"1026.632812\" xlink:href=\"#DejaVuSans-32\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_6\">\n   <g id=\"patch_23\">\n    <path d=\"M 665.947574 187.22175 \nL 674.101574 187.22175 \nL 674.101574 24.14175 \nL 665.947574 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_24\">\n    <path clip-path=\"url(#p829326d263)\" d=\"M 665.947574 187.22175 \nL 665.947574 186.584719 \nL 665.947574 24.778781 \nL 665.947574 24.14175 \nL 674.101574 24.14175 \nL 674.101574 24.778781 \nL 674.101574 186.584719 \nL 674.101574 187.22175 \nL 674.101574 187.22175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"163\" id=\"imagedd8616549f\" transform=\"scale(1 -1)translate(0 -163)\" width=\"8\" x=\"666\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAgAAACjCAYAAAC31F+mAAABG0lEQVR4nNWY260CMQwF/cqtjBrovxAgtwOPpcNGC7+xxuNj7RLwRzy3NZ/y8O7cyjP7AvOAgoQCDySQA7aQJc0hKJZkAjkEtaBtGkYtS24mqJJfaEGErRNoFwdaWH8+cMCod7+rI5JMwF0wQW0xGJMK5DEHQekOWHC55B3GNL0FFdwiqOtb3IHwE7swb+96R7ZpQQ56krIDPpt6kkiAC+mAoE/hLEkOtAskoEMgAQvaY7OK+ACBxkwmgGTSFOmXSwZLEsFUQsmSRUExQR6z4g0FsuSiFrpkyoTlJIljEgGfi4GDSsCglr/UFvqYBoQ/OSgkYA5Jkgd2MSDgmDDFoAW9SJnQnlslfHnXot/+C64gFdwC/tEaEKot+AcjKG+SDNshLQAAAABJRU5ErkJggg==\" y=\"-24\"/>\n   <g id=\"matplotlib.axis_11\"/>\n   <g id=\"matplotlib.axis_12\">\n    <g id=\"ytick_41\">\n     <g id=\"line2d_57\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#mf1ea07b285\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_59\">\n      <!-- 0.0 -->\n      <g transform=\"translate(681.101574 191.780812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_42\">\n     <g id=\"line2d_58\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#mf1ea07b285\" y=\"154.60575\"/>\n      </g>\n     </g>\n     <g id=\"text_60\">\n      <!-- 0.2 -->\n      <g transform=\"translate(681.101574 159.164812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_43\">\n     <g id=\"line2d_59\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#mf1ea07b285\" y=\"121.98975\"/>\n      </g>\n     </g>\n     <g id=\"text_61\">\n      <!-- 0.4 -->\n      <g transform=\"translate(681.101574 126.548812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_44\">\n     <g id=\"line2d_60\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#mf1ea07b285\" y=\"89.37375\"/>\n      </g>\n     </g>\n     <g id=\"text_62\">\n      <!-- 0.6 -->\n      <g transform=\"translate(681.101574 93.932812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_45\">\n     <g id=\"line2d_61\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#mf1ea07b285\" y=\"56.75775\"/>\n      </g>\n     </g>\n     <g id=\"text_63\">\n      <!-- 0.8 -->\n      <g transform=\"translate(681.101574 61.316812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_46\">\n     <g id=\"line2d_62\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#mf1ea07b285\" y=\"24.14175\"/>\n      </g>\n     </g>\n     <g id=\"text_64\">\n      <!-- 1.0 -->\n      <g transform=\"translate(681.101574 28.700812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_3\"/>\n   <g id=\"patch_25\">\n    <path d=\"M 665.947574 187.22175 \nL 665.947574 186.584719 \nL 665.947574 24.778781 \nL 665.947574 24.14175 \nL 674.101574 24.14175 \nL 674.101574 24.778781 \nL 674.101574 186.584719 \nL 674.101574 187.22175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p3ad913455a\">\n   <rect height=\"163.08\" width=\"157.552941\" x=\"25.88875\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p71e5c77273\">\n   <rect height=\"163.08\" width=\"8.154\" x=\"193.28875\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p2a033c7b62\">\n   <rect height=\"163.08\" width=\"157.552941\" x=\"262.218162\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"pe08f5ad343\">\n   <rect height=\"163.08\" width=\"8.154\" x=\"429.618162\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p94c5e5124f\">\n   <rect height=\"163.08\" width=\"157.552941\" x=\"498.547574\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p829326d263\">\n   <rect height=\"163.08\" width=\"8.154\" x=\"665.947574\" y=\"24.14175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": [
       "<Figure size 864x216 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,3))\n",
    "plt.subplot(131)\n",
    "plt_heatmap(df_smokes_cancer_facts, vmin=0, vmax=1)\n",
    "plt.subplot(132)\n",
    "plt.title(\"Friend(x,y) in Group 1\")\n",
    "plt_heatmap(df_friends_ah_facts, vmin=0, vmax=1)\n",
    "plt.subplot(133)\n",
    "plt.title(\"Friend(x,y) in Group 2\")\n",
    "plt_heatmap(df_friends_in_facts, vmin=0, vmax=1)\n",
    "#plt.savefig('ex_smokes_givenfacts.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Querying all the truth-values using LTN after training: smokers and cancer (left), friendship relations (middle and right)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "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<svg height=\"213.0355pt\" version=\"1.1\" viewBox=\"0 0 707.385324 213.0355\" width=\"707.385324pt\" 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>2021-08-31T03:55:41.509422</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, 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 0 213.0355 \nL 707.385324 213.0355 \nL 707.385324 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 25.88875 187.22175 \nL 183.441691 187.22175 \nL 183.441691 24.14175 \nL 25.88875 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_1\">\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 187.22175 \nL 25.88875 175.573179 \nL 104.665221 175.573179 \nL 104.665221 187.22175 \nL 25.88875 187.22175 \nz\n\" style=\"fill:#e2e418;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 187.22175 \nL 104.665221 175.573179 \nL 183.441691 175.573179 \nL 183.441691 187.22175 \nL 104.665221 187.22175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 175.573179 \nL 25.88875 163.924607 \nL 104.665221 163.924607 \nL 104.665221 175.573179 \nL 25.88875 175.573179 \nz\n\" style=\"fill:#450559;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 175.573179 \nL 104.665221 163.924607 \nL 183.441691 163.924607 \nL 183.441691 175.573179 \nL 104.665221 175.573179 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 163.924607 \nL 25.88875 152.276036 \nL 104.665221 152.276036 \nL 104.665221 163.924607 \nL 25.88875 163.924607 \nz\n\" style=\"fill:#471164;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 163.924607 \nL 104.665221 152.276036 \nL 183.441691 152.276036 \nL 183.441691 163.924607 \nL 104.665221 163.924607 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 152.276036 \nL 25.88875 140.627464 \nL 104.665221 140.627464 \nL 104.665221 152.276036 \nL 25.88875 152.276036 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 152.276036 \nL 104.665221 140.627464 \nL 183.441691 140.627464 \nL 183.441691 152.276036 \nL 104.665221 152.276036 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 140.627464 \nL 25.88875 128.978893 \nL 104.665221 128.978893 \nL 104.665221 140.627464 \nL 25.88875 140.627464 \nz\n\" style=\"fill:#d5e21a;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 140.627464 \nL 104.665221 128.978893 \nL 183.441691 128.978893 \nL 183.441691 140.627464 \nL 104.665221 140.627464 \nz\n\" style=\"fill:#fbe723;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 128.978893 \nL 25.88875 117.330321 \nL 104.665221 117.330321 \nL 104.665221 128.978893 \nL 25.88875 128.978893 \nz\n\" style=\"fill:#7fd34e;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 128.978893 \nL 104.665221 117.330321 \nL 183.441691 117.330321 \nL 183.441691 128.978893 \nL 104.665221 128.978893 \nz\n\" style=\"fill:#3f4889;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 117.330321 \nL 25.88875 105.68175 \nL 104.665221 105.68175 \nL 104.665221 117.330321 \nL 25.88875 117.330321 \nz\n\" style=\"fill:#58c765;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 117.330321 \nL 104.665221 105.68175 \nL 183.441691 105.68175 \nL 183.441691 117.330321 \nL 104.665221 117.330321 \nz\n\" style=\"fill:#423f85;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 105.68175 \nL 25.88875 94.033179 \nL 104.665221 94.033179 \nL 104.665221 105.68175 \nL 25.88875 105.68175 \nz\n\" style=\"fill:#46075a;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 105.68175 \nL 104.665221 94.033179 \nL 183.441691 94.033179 \nL 183.441691 105.68175 \nL 104.665221 105.68175 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 94.033179 \nL 25.88875 82.384607 \nL 104.665221 82.384607 \nL 104.665221 94.033179 \nL 25.88875 94.033179 \nz\n\" style=\"fill:#470e61;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 94.033179 \nL 104.665221 82.384607 \nL 183.441691 82.384607 \nL 183.441691 94.033179 \nL 104.665221 94.033179 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 82.384607 \nL 25.88875 70.736036 \nL 104.665221 70.736036 \nL 104.665221 82.384607 \nL 25.88875 82.384607 \nz\n\" style=\"fill:#dde318;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 82.384607 \nL 104.665221 70.736036 \nL 183.441691 70.736036 \nL 183.441691 82.384607 \nL 104.665221 82.384607 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 70.736036 \nL 25.88875 59.087464 \nL 104.665221 59.087464 \nL 104.665221 70.736036 \nL 25.88875 70.736036 \nz\n\" style=\"fill:#460b5e;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 70.736036 \nL 104.665221 59.087464 \nL 183.441691 59.087464 \nL 183.441691 70.736036 \nL 104.665221 70.736036 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 59.087464 \nL 25.88875 47.438893 \nL 104.665221 47.438893 \nL 104.665221 59.087464 \nL 25.88875 59.087464 \nz\n\" style=\"fill:#460a5d;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 59.087464 \nL 104.665221 47.438893 \nL 183.441691 47.438893 \nL 183.441691 59.087464 \nL 104.665221 59.087464 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 47.438893 \nL 25.88875 35.790321 \nL 104.665221 35.790321 \nL 104.665221 47.438893 \nL 25.88875 47.438893 \nz\n\" style=\"fill:#481b6d;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 47.438893 \nL 104.665221 35.790321 \nL 183.441691 35.790321 \nL 183.441691 47.438893 \nL 104.665221 47.438893 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 25.88875 35.790321 \nL 25.88875 24.14175 \nL 104.665221 24.14175 \nL 104.665221 35.790321 \nL 25.88875 35.790321 \nz\n\" style=\"fill:#f1e51d;\"/>\n    <path clip-path=\"url(#p7e4b26bb32)\" d=\"M 104.665221 35.790321 \nL 104.665221 24.14175 \nL 183.441691 24.14175 \nL 183.441691 35.790321 \nL 104.665221 35.790321 \nz\n\" style=\"fill:#fbe723;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m09d1d08609\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.276985\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- Smokes -->\n      <g transform=\"translate(41.877923 203.339875)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 3425 4513 \nL 3425 3897 \nQ 3066 4069 2747 4153 \nQ 2428 4238 2131 4238 \nQ 1616 4238 1336 4038 \nQ 1056 3838 1056 3469 \nQ 1056 3159 1242 3001 \nQ 1428 2844 1947 2747 \nL 2328 2669 \nQ 3034 2534 3370 2195 \nQ 3706 1856 3706 1288 \nQ 3706 609 3251 259 \nQ 2797 -91 1919 -91 \nQ 1588 -91 1214 -16 \nQ 841 59 441 206 \nL 441 856 \nQ 825 641 1194 531 \nQ 1563 422 1919 422 \nQ 2459 422 2753 634 \nQ 3047 847 3047 1241 \nQ 3047 1584 2836 1778 \nQ 2625 1972 2144 2069 \nL 1759 2144 \nQ 1053 2284 737 2584 \nQ 422 2884 422 3419 \nQ 422 4038 858 4394 \nQ 1294 4750 2059 4750 \nQ 2388 4750 2728 4690 \nQ 3069 4631 3425 4513 \nz\n\" id=\"DejaVuSans-53\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" id=\"DejaVuSans-6b\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.476562\" xlink:href=\"#DejaVuSans-6d\"/>\n       <use x=\"160.888672\" xlink:href=\"#DejaVuSans-6f\"/>\n       <use x=\"222.070312\" xlink:href=\"#DejaVuSans-6b\"/>\n       <use x=\"276.355469\" xlink:href=\"#DejaVuSans-65\"/>\n       <use x=\"337.878906\" xlink:href=\"#DejaVuSans-73\"/>\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=\"144.053456\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- Cancer -->\n      <g transform=\"translate(122.926893 203.339875)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 4122 4306 \nL 4122 3641 \nQ 3803 3938 3442 4084 \nQ 3081 4231 2675 4231 \nQ 1875 4231 1450 3742 \nQ 1025 3253 1025 2328 \nQ 1025 1406 1450 917 \nQ 1875 428 2675 428 \nQ 3081 428 3442 575 \nQ 3803 722 4122 1019 \nL 4122 359 \nQ 3791 134 3420 21 \nQ 3050 -91 2638 -91 \nQ 1578 -91 968 557 \nQ 359 1206 359 2328 \nQ 359 3453 968 4101 \nQ 1578 4750 2638 4750 \nQ 3056 4750 3426 4639 \nQ 3797 4528 4122 4306 \nz\n\" id=\"DejaVuSans-43\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 3122 3366 \nL 3122 2828 \nQ 2878 2963 2633 3030 \nQ 2388 3097 2138 3097 \nQ 1578 3097 1268 2742 \nQ 959 2388 959 1747 \nQ 959 1106 1268 751 \nQ 1578 397 2138 397 \nQ 2388 397 2633 464 \nQ 2878 531 3122 666 \nL 3122 134 \nQ 2881 22 2623 -34 \nQ 2366 -91 2075 -91 \nQ 1284 -91 818 406 \nQ 353 903 353 1747 \nQ 353 2603 823 3093 \nQ 1294 3584 2113 3584 \nQ 2378 3584 2631 3529 \nQ 2884 3475 3122 3366 \nz\n\" id=\"DejaVuSans-63\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-43\"/>\n       <use x=\"69.824219\" xlink:href=\"#DejaVuSans-61\"/>\n       <use x=\"131.103516\" xlink:href=\"#DejaVuSans-6e\"/>\n       <use x=\"194.482422\" xlink:href=\"#DejaVuSans-63\"/>\n       <use x=\"249.462891\" xlink:href=\"#DejaVuSans-65\"/>\n       <use x=\"310.986328\" xlink:href=\"#DejaVuSans-72\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_3\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mbc871621cc\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"181.397464\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- a -->\n      <g transform=\"translate(11.535 185.956527)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-61\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"169.748893\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- b -->\n      <g transform=\"translate(11.270625 174.307955)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\nM 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nL 1159 0 \nL 581 0 \nL 581 4863 \nL 1159 4863 \nL 1159 2969 \nz\n\" id=\"DejaVuSans-62\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-62\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"158.100321\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- c -->\n      <g transform=\"translate(12.290625 162.659384)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-63\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"146.45175\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- d -->\n      <g transform=\"translate(11.270625 151.010812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-64\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"134.803179\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- e -->\n      <g transform=\"translate(11.505 139.362241)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-65\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"123.154607\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- f -->\n      <g transform=\"translate(14.664375 127.71367)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2375 4863 \nL 2375 4384 \nL 1825 4384 \nQ 1516 4384 1395 4259 \nQ 1275 4134 1275 3809 \nL 1275 3500 \nL 2222 3500 \nL 2222 3053 \nL 1275 3053 \nL 1275 0 \nL 697 0 \nL 697 3053 \nL 147 3053 \nL 147 3500 \nL 697 3500 \nL 697 3744 \nQ 697 4328 969 4595 \nQ 1241 4863 1831 4863 \nL 2375 4863 \nz\n\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-66\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"111.506036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- g -->\n      <g transform=\"translate(11.270625 116.065098)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-67\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"99.857464\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- h -->\n      <g transform=\"translate(11.28375 104.416527)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 4863 \nL 1159 4863 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-68\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-68\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_9\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"88.208893\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- i -->\n      <g transform=\"translate(15.555 92.767955)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-69\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_10\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"76.560321\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- j -->\n      <g transform=\"translate(15.555 81.119384)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 -63 \nQ 1178 -731 923 -1031 \nQ 669 -1331 103 -1331 \nL -116 -1331 \nL -116 -844 \nL 38 -844 \nQ 366 -844 484 -692 \nQ 603 -541 603 -63 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6a\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-6a\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_11\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"64.91175\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- k -->\n      <g transform=\"translate(11.94 69.470812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6b\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_12\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"53.263179\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- l -->\n      <g transform=\"translate(15.555 57.822241)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-6c\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_13\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"41.614607\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- m -->\n      <g transform=\"translate(7.2 46.17367)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6d\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_14\">\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"25.88875\" xlink:href=\"#mbc871621cc\" y=\"29.966036\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- n -->\n      <g transform=\"translate(11.28375 34.525098)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6e\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 25.88875 187.22175 \nL 25.88875 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 183.441691 187.22175 \nL 183.441691 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 25.88875 187.22175 \nL 183.441691 187.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 25.88875 24.14175 \nL 183.441691 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 193.28875 187.22175 \nL 201.44275 187.22175 \nL 201.44275 24.14175 \nL 193.28875 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p9752bad661)\" d=\"M 193.28875 187.22175 \nL 193.28875 186.584719 \nL 193.28875 24.778781 \nL 193.28875 24.14175 \nL 201.44275 24.14175 \nL 201.44275 24.778781 \nL 201.44275 186.584719 \nL 201.44275 187.22175 \nL 201.44275 187.22175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"163\" id=\"image1ee01ab677\" transform=\"scale(1 -1)translate(0 -163)\" width=\"8\" x=\"193\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAgAAACjCAYAAAC31F+mAAABG0lEQVR4nNWY260CMQwF/cqtjBrovxAgtwOPpcNGC7+xxuNj7RLwRzy3NZ/y8O7cyjP7AvOAgoQCDySQA7aQJc0hKJZkAjkEtaBtGkYtS24mqJJfaEGErRNoFwdaWH8+cMCod7+rI5JMwF0wQW0xGJMK5DEHQekOWHC55B3GNL0FFdwiqOtb3IHwE7swb+96R7ZpQQ56krIDPpt6kkiAC+mAoE/hLEkOtAskoEMgAQvaY7OK+ACBxkwmgGTSFOmXSwZLEsFUQsmSRUExQR6z4g0FsuSiFrpkyoTlJIljEgGfi4GDSsCglr/UFvqYBoQ/OSgkYA5Jkgd2MSDgmDDFoAW9SJnQnlslfHnXot/+C64gFdwC/tEaEKot+AcjKG+SDNshLQAAAABJRU5ErkJggg==\" y=\"-24\"/>\n   <g id=\"matplotlib.axis_3\"/>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_15\">\n     <g id=\"line2d_17\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"m2b652fd114\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#m2b652fd114\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_17\">\n      <!-- 0.0 -->\n      <g transform=\"translate(208.44275 191.780812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_16\">\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#m2b652fd114\" y=\"154.60575\"/>\n      </g>\n     </g>\n     <g id=\"text_18\">\n      <!-- 0.2 -->\n      <g transform=\"translate(208.44275 159.164812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_17\">\n     <g id=\"line2d_19\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#m2b652fd114\" y=\"121.98975\"/>\n      </g>\n     </g>\n     <g id=\"text_19\">\n      <!-- 0.4 -->\n      <g transform=\"translate(208.44275 126.548812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_18\">\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#m2b652fd114\" y=\"89.37375\"/>\n      </g>\n     </g>\n     <g id=\"text_20\">\n      <!-- 0.6 -->\n      <g transform=\"translate(208.44275 93.932812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_19\">\n     <g id=\"line2d_21\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#m2b652fd114\" y=\"56.75775\"/>\n      </g>\n     </g>\n     <g id=\"text_21\">\n      <!-- 0.8 -->\n      <g transform=\"translate(208.44275 61.316812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_20\">\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"201.44275\" xlink:href=\"#m2b652fd114\" y=\"24.14175\"/>\n      </g>\n     </g>\n     <g id=\"text_22\">\n      <!-- 1.0 -->\n      <g transform=\"translate(208.44275 28.700812)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_9\">\n    <path d=\"M 193.28875 187.22175 \nL 193.28875 186.584719 \nL 193.28875 24.778781 \nL 193.28875 24.14175 \nL 201.44275 24.14175 \nL 201.44275 24.778781 \nL 201.44275 186.584719 \nL 201.44275 187.22175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_10\">\n    <path d=\"M 262.218162 187.22175 \nL 419.771103 187.22175 \nL 419.771103 24.14175 \nL 262.218162 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_2\">\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 187.22175 \nL 262.218162 166.83675 \nL 281.912279 166.83675 \nL 281.912279 187.22175 \nL 262.218162 187.22175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 187.22175 \nL 281.912279 166.83675 \nL 301.606397 166.83675 \nL 301.606397 187.22175 \nL 281.912279 187.22175 \nz\n\" style=\"fill:#e2e418;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 187.22175 \nL 301.606397 166.83675 \nL 321.300515 166.83675 \nL 321.300515 187.22175 \nL 301.606397 187.22175 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 187.22175 \nL 321.300515 166.83675 \nL 340.994632 166.83675 \nL 340.994632 187.22175 \nL 321.300515 187.22175 \nz\n\" style=\"fill:#2db27d;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 187.22175 \nL 340.994632 166.83675 \nL 360.68875 166.83675 \nL 360.68875 187.22175 \nL 340.994632 187.22175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 187.22175 \nL 360.68875 166.83675 \nL 380.382868 166.83675 \nL 380.382868 187.22175 \nL 360.68875 187.22175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 187.22175 \nL 380.382868 166.83675 \nL 400.076985 166.83675 \nL 400.076985 187.22175 \nL 380.382868 187.22175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 187.22175 \nL 400.076985 166.83675 \nL 419.771103 166.83675 \nL 419.771103 187.22175 \nL 400.076985 187.22175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 166.83675 \nL 262.218162 146.45175 \nL 281.912279 146.45175 \nL 281.912279 166.83675 \nL 262.218162 166.83675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 166.83675 \nL 281.912279 146.45175 \nL 301.606397 146.45175 \nL 301.606397 166.83675 \nL 281.912279 166.83675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 166.83675 \nL 301.606397 146.45175 \nL 321.300515 146.45175 \nL 321.300515 166.83675 \nL 301.606397 166.83675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 166.83675 \nL 321.300515 146.45175 \nL 340.994632 146.45175 \nL 340.994632 166.83675 \nL 321.300515 166.83675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 166.83675 \nL 340.994632 146.45175 \nL 360.68875 146.45175 \nL 360.68875 166.83675 \nL 340.994632 166.83675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 166.83675 \nL 360.68875 146.45175 \nL 380.382868 146.45175 \nL 380.382868 166.83675 \nL 360.68875 166.83675 \nz\n\" style=\"fill:#46085c;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 166.83675 \nL 380.382868 146.45175 \nL 400.076985 146.45175 \nL 400.076985 166.83675 \nL 380.382868 166.83675 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 166.83675 \nL 400.076985 146.45175 \nL 419.771103 146.45175 \nL 419.771103 166.83675 \nL 400.076985 166.83675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 146.45175 \nL 262.218162 126.06675 \nL 281.912279 126.06675 \nL 281.912279 146.45175 \nL 262.218162 146.45175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 146.45175 \nL 281.912279 126.06675 \nL 301.606397 126.06675 \nL 301.606397 146.45175 \nL 281.912279 146.45175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 146.45175 \nL 301.606397 126.06675 \nL 321.300515 126.06675 \nL 321.300515 146.45175 \nL 301.606397 146.45175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 146.45175 \nL 321.300515 126.06675 \nL 340.994632 126.06675 \nL 340.994632 146.45175 \nL 321.300515 146.45175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 146.45175 \nL 340.994632 126.06675 \nL 360.68875 126.06675 \nL 360.68875 146.45175 \nL 340.994632 146.45175 \nz\n\" style=\"fill:#31b57b;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 146.45175 \nL 360.68875 126.06675 \nL 380.382868 126.06675 \nL 380.382868 146.45175 \nL 360.68875 146.45175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 146.45175 \nL 380.382868 126.06675 \nL 400.076985 126.06675 \nL 400.076985 146.45175 \nL 380.382868 146.45175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 146.45175 \nL 400.076985 126.06675 \nL 419.771103 126.06675 \nL 419.771103 146.45175 \nL 400.076985 146.45175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 126.06675 \nL 262.218162 105.68175 \nL 281.912279 105.68175 \nL 281.912279 126.06675 \nL 262.218162 126.06675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 126.06675 \nL 281.912279 105.68175 \nL 301.606397 105.68175 \nL 301.606397 126.06675 \nL 281.912279 126.06675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 126.06675 \nL 301.606397 105.68175 \nL 321.300515 105.68175 \nL 321.300515 126.06675 \nL 301.606397 126.06675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 126.06675 \nL 321.300515 105.68175 \nL 340.994632 105.68175 \nL 340.994632 126.06675 \nL 321.300515 126.06675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 126.06675 \nL 340.994632 105.68175 \nL 360.68875 105.68175 \nL 360.68875 126.06675 \nL 340.994632 126.06675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 126.06675 \nL 360.68875 105.68175 \nL 380.382868 105.68175 \nL 380.382868 126.06675 \nL 360.68875 126.06675 \nz\n\" style=\"fill:#450457;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 126.06675 \nL 380.382868 105.68175 \nL 400.076985 105.68175 \nL 400.076985 126.06675 \nL 380.382868 126.06675 \nz\n\" style=\"fill:#450457;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 126.06675 \nL 400.076985 105.68175 \nL 419.771103 105.68175 \nL 419.771103 126.06675 \nL 400.076985 126.06675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 105.68175 \nL 262.218162 85.29675 \nL 281.912279 85.29675 \nL 281.912279 105.68175 \nL 262.218162 105.68175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 105.68175 \nL 281.912279 85.29675 \nL 301.606397 85.29675 \nL 301.606397 105.68175 \nL 281.912279 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 105.68175 \nL 301.606397 85.29675 \nL 321.300515 85.29675 \nL 321.300515 105.68175 \nL 301.606397 105.68175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 105.68175 \nL 321.300515 85.29675 \nL 340.994632 85.29675 \nL 340.994632 105.68175 \nL 321.300515 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 105.68175 \nL 340.994632 85.29675 \nL 360.68875 85.29675 \nL 360.68875 105.68175 \nL 340.994632 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 105.68175 \nL 360.68875 85.29675 \nL 380.382868 85.29675 \nL 380.382868 105.68175 \nL 360.68875 105.68175 \nz\n\" style=\"fill:#fbe723;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 105.68175 \nL 380.382868 85.29675 \nL 400.076985 85.29675 \nL 400.076985 105.68175 \nL 380.382868 105.68175 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 105.68175 \nL 400.076985 85.29675 \nL 419.771103 85.29675 \nL 419.771103 105.68175 \nL 400.076985 105.68175 \nz\n\" style=\"fill:#450559;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 85.29675 \nL 262.218162 64.91175 \nL 281.912279 64.91175 \nL 281.912279 85.29675 \nL 262.218162 85.29675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 85.29675 \nL 281.912279 64.91175 \nL 301.606397 64.91175 \nL 301.606397 85.29675 \nL 281.912279 85.29675 \nz\n\" style=\"fill:#481d6f;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 85.29675 \nL 301.606397 64.91175 \nL 321.300515 64.91175 \nL 321.300515 85.29675 \nL 301.606397 85.29675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 85.29675 \nL 321.300515 64.91175 \nL 340.994632 64.91175 \nL 340.994632 85.29675 \nL 321.300515 85.29675 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 85.29675 \nL 340.994632 64.91175 \nL 360.68875 64.91175 \nL 360.68875 85.29675 \nL 340.994632 85.29675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 85.29675 \nL 360.68875 64.91175 \nL 380.382868 64.91175 \nL 380.382868 85.29675 \nL 360.68875 85.29675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 85.29675 \nL 380.382868 64.91175 \nL 400.076985 64.91175 \nL 400.076985 85.29675 \nL 380.382868 85.29675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 85.29675 \nL 400.076985 64.91175 \nL 419.771103 64.91175 \nL 419.771103 85.29675 \nL 400.076985 85.29675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 64.91175 \nL 262.218162 44.52675 \nL 281.912279 44.52675 \nL 281.912279 64.91175 \nL 262.218162 64.91175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 64.91175 \nL 281.912279 44.52675 \nL 301.606397 44.52675 \nL 301.606397 64.91175 \nL 281.912279 64.91175 \nz\n\" style=\"fill:#470e61;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 64.91175 \nL 301.606397 44.52675 \nL 321.300515 44.52675 \nL 321.300515 64.91175 \nL 301.606397 64.91175 \nz\n\" style=\"fill:#471063;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 64.91175 \nL 321.300515 44.52675 \nL 340.994632 44.52675 \nL 340.994632 64.91175 \nL 321.300515 64.91175 \nz\n\" style=\"fill:#450559;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 64.91175 \nL 340.994632 44.52675 \nL 360.68875 44.52675 \nL 360.68875 64.91175 \nL 340.994632 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 64.91175 \nL 360.68875 44.52675 \nL 380.382868 44.52675 \nL 380.382868 64.91175 \nL 360.68875 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 64.91175 \nL 380.382868 44.52675 \nL 400.076985 44.52675 \nL 400.076985 64.91175 \nL 380.382868 64.91175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 64.91175 \nL 400.076985 44.52675 \nL 419.771103 44.52675 \nL 419.771103 64.91175 \nL 400.076985 64.91175 \nz\n\" style=\"fill:#fbe723;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 262.218162 44.52675 \nL 262.218162 24.14175 \nL 281.912279 24.14175 \nL 281.912279 44.52675 \nL 262.218162 44.52675 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 281.912279 44.52675 \nL 281.912279 24.14175 \nL 301.606397 24.14175 \nL 301.606397 44.52675 \nL 281.912279 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 301.606397 44.52675 \nL 301.606397 24.14175 \nL 321.300515 24.14175 \nL 321.300515 44.52675 \nL 301.606397 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 321.300515 44.52675 \nL 321.300515 24.14175 \nL 340.994632 24.14175 \nL 340.994632 44.52675 \nL 321.300515 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 340.994632 44.52675 \nL 340.994632 24.14175 \nL 360.68875 24.14175 \nL 360.68875 44.52675 \nL 340.994632 44.52675 \nz\n\" style=\"fill:#482878;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 360.68875 44.52675 \nL 360.68875 24.14175 \nL 380.382868 24.14175 \nL 380.382868 44.52675 \nL 360.68875 44.52675 \nz\n\" style=\"fill:#481d6f;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 380.382868 44.52675 \nL 380.382868 24.14175 \nL 400.076985 24.14175 \nL 400.076985 44.52675 \nL 380.382868 44.52675 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#p36c3c9a1c1)\" d=\"M 400.076985 44.52675 \nL 400.076985 24.14175 \nL 419.771103 24.14175 \nL 419.771103 44.52675 \nL 400.076985 44.52675 \nz\n\" style=\"fill:#440154;\"/>\n   </g>\n   <g id=\"matplotlib.axis_5\">\n    <g id=\"xtick_3\">\n     <g id=\"line2d_23\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"272.065221\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_23\">\n      <!-- a -->\n      <g transform=\"translate(268.388346 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-61\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"291.759338\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_24\">\n      <!-- b -->\n      <g transform=\"translate(287.950276 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-62\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_25\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"311.453456\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_25\">\n      <!-- c -->\n      <g transform=\"translate(308.154393 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-63\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"331.147574\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_26\">\n      <!-- d -->\n      <g transform=\"translate(327.338511 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-64\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_27\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"350.841691\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_27\">\n      <!-- e -->\n      <g transform=\"translate(347.149816 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-65\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_28\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"370.535809\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_28\">\n      <!-- f -->\n      <g transform=\"translate(368.423621 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-66\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_29\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"390.229926\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_29\">\n      <!-- g -->\n      <g transform=\"translate(386.420864 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-67\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_10\">\n     <g id=\"line2d_30\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"409.924044\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_30\">\n      <!-- h -->\n      <g transform=\"translate(406.121544 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-68\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_21\">\n     <g id=\"line2d_31\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"177.02925\"/>\n      </g>\n     </g>\n     <g id=\"text_31\">\n      <!-- a -->\n      <g transform=\"translate(247.864412 181.588312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-61\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_22\">\n     <g id=\"line2d_32\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"156.64425\"/>\n      </g>\n     </g>\n     <g id=\"text_32\">\n      <!-- b -->\n      <g transform=\"translate(247.600037 161.203312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-62\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_23\">\n     <g id=\"line2d_33\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"136.25925\"/>\n      </g>\n     </g>\n     <g id=\"text_33\">\n      <!-- c -->\n      <g transform=\"translate(248.620037 140.818312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-63\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_24\">\n     <g id=\"line2d_34\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"115.87425\"/>\n      </g>\n     </g>\n     <g id=\"text_34\">\n      <!-- d -->\n      <g transform=\"translate(247.600037 120.433312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-64\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_25\">\n     <g id=\"line2d_35\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"95.48925\"/>\n      </g>\n     </g>\n     <g id=\"text_35\">\n      <!-- e -->\n      <g transform=\"translate(247.834412 100.048312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-65\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_26\">\n     <g id=\"line2d_36\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"75.10425\"/>\n      </g>\n     </g>\n     <g id=\"text_36\">\n      <!-- f -->\n      <g transform=\"translate(250.993787 79.663312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-66\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_27\">\n     <g id=\"line2d_37\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"54.71925\"/>\n      </g>\n     </g>\n     <g id=\"text_37\">\n      <!-- g -->\n      <g transform=\"translate(247.600037 59.278312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-67\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_28\">\n     <g id=\"line2d_38\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"262.218162\" xlink:href=\"#mbc871621cc\" y=\"34.33425\"/>\n      </g>\n     </g>\n     <g id=\"text_38\">\n      <!-- h -->\n      <g transform=\"translate(247.613162 38.893312)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-68\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 262.218162 187.22175 \nL 262.218162 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 419.771103 187.22175 \nL 419.771103 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 262.218162 187.22175 \nL 419.771103 187.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 262.218162 24.14175 \nL 419.771103 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_39\">\n    <!-- Friend(x,y) in Group 1 -->\n    <g transform=\"translate(262.496632 18.14175)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 3309 4666 \nL 3309 4134 \nL 1259 4134 \nL 1259 2759 \nL 3109 2759 \nL 3109 2228 \nL 1259 2228 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-46\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1984 4856 \nQ 1566 4138 1362 3434 \nQ 1159 2731 1159 2009 \nQ 1159 1288 1364 580 \nQ 1569 -128 1984 -844 \nL 1484 -844 \nQ 1016 -109 783 600 \nQ 550 1309 550 2009 \nQ 550 2706 781 3412 \nQ 1013 4119 1484 4856 \nL 1984 4856 \nz\n\" id=\"DejaVuSans-28\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 3500 \nL 2247 1797 \nL 3578 0 \nL 2900 0 \nL 1881 1375 \nL 863 0 \nL 184 0 \nL 1544 1831 \nL 300 3500 \nL 978 3500 \nL 1906 2253 \nL 2834 3500 \nL 3513 3500 \nz\n\" id=\"DejaVuSans-78\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 750 794 \nL 1409 794 \nL 1409 256 \nL 897 -744 \nL 494 -744 \nL 750 256 \nL 750 794 \nz\n\" id=\"DejaVuSans-2c\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2059 -325 \nQ 1816 -950 1584 -1140 \nQ 1353 -1331 966 -1331 \nL 506 -1331 \nL 506 -850 \nL 844 -850 \nQ 1081 -850 1212 -737 \nQ 1344 -625 1503 -206 \nL 1606 56 \nL 191 3500 \nL 800 3500 \nL 1894 763 \nL 2988 3500 \nL 3597 3500 \nL 2059 -325 \nz\n\" id=\"DejaVuSans-79\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 513 4856 \nL 1013 4856 \nQ 1481 4119 1714 3412 \nQ 1947 2706 1947 2009 \nQ 1947 1309 1714 600 \nQ 1481 -109 1013 -844 \nL 513 -844 \nQ 928 -128 1133 580 \nQ 1338 1288 1338 2009 \nQ 1338 2731 1133 3434 \nQ 928 4138 513 4856 \nz\n\" id=\"DejaVuSans-29\" transform=\"scale(0.015625)\"/>\n      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3809 666 \nL 3809 1919 \nL 2778 1919 \nL 2778 2438 \nL 4434 2438 \nL 4434 434 \nQ 4069 175 3628 42 \nQ 3188 -91 2688 -91 \nQ 1594 -91 976 548 \nQ 359 1188 359 2328 \nQ 359 3472 976 4111 \nQ 1594 4750 2688 4750 \nQ 3144 4750 3555 4637 \nQ 3966 4525 4313 4306 \nL 4313 3634 \nQ 3963 3931 3569 4081 \nQ 3175 4231 2741 4231 \nQ 1884 4231 1454 3753 \nQ 1025 3275 1025 2328 \nQ 1025 1384 1454 906 \nQ 1884 428 2741 428 \nQ 3075 428 3337 486 \nQ 3600 544 3809 666 \nz\n\" id=\"DejaVuSans-47\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"50.269531\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"91.382812\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"119.166016\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"180.689453\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"244.068359\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"307.544922\" xlink:href=\"#DejaVuSans-28\"/>\n     <use x=\"346.558594\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"405.738281\" xlink:href=\"#DejaVuSans-2c\"/>\n     <use x=\"437.525391\" xlink:href=\"#DejaVuSans-79\"/>\n     <use x=\"496.705078\" xlink:href=\"#DejaVuSans-29\"/>\n     <use x=\"535.71875\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"567.505859\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"595.289062\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"658.667969\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"690.455078\" xlink:href=\"#DejaVuSans-47\"/>\n     <use x=\"767.945312\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"806.808594\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"867.990234\" xlink:href=\"#DejaVuSans-75\"/>\n     <use x=\"931.369141\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"994.845703\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"1026.632812\" xlink:href=\"#DejaVuSans-31\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_4\">\n   <g id=\"patch_15\">\n    <path d=\"M 429.618162 187.22175 \nL 437.772162 187.22175 \nL 437.772162 24.14175 \nL 429.618162 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path clip-path=\"url(#p6f2effbbb1)\" d=\"M 429.618162 187.22175 \nL 429.618162 186.584719 \nL 429.618162 24.778781 \nL 429.618162 24.14175 \nL 437.772162 24.14175 \nL 437.772162 24.778781 \nL 437.772162 186.584719 \nL 437.772162 187.22175 \nL 437.772162 187.22175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"163\" id=\"image639ed7d489\" transform=\"scale(1 -1)translate(0 -163)\" width=\"8\" x=\"430\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAgAAACjCAYAAAC31F+mAAABG0lEQVR4nNWY260CMQwF/cqtjBrovxAgtwOPpcNGC7+xxuNj7RLwRzy3NZ/y8O7cyjP7AvOAgoQCDySQA7aQJc0hKJZkAjkEtaBtGkYtS24mqJJfaEGErRNoFwdaWH8+cMCod7+rI5JMwF0wQW0xGJMK5DEHQekOWHC55B3GNL0FFdwiqOtb3IHwE7swb+96R7ZpQQ56krIDPpt6kkiAC+mAoE/hLEkOtAskoEMgAQvaY7OK+ACBxkwmgGTSFOmXSwZLEsFUQsmSRUExQR6z4g0FsuSiFrpkyoTlJIljEgGfi4GDSsCglr/UFvqYBoQ/OSgkYA5Jkgd2MSDgmDDFoAW9SJnQnlslfHnXot/+C64gFdwC/tEaEKot+AcjKG+SDNshLQAAAABJRU5ErkJggg==\" y=\"-24\"/>\n   <g id=\"matplotlib.axis_7\"/>\n   <g id=\"matplotlib.axis_8\">\n    <g id=\"ytick_29\">\n     <g id=\"line2d_39\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#m2b652fd114\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_40\">\n      <!-- 0.0 -->\n      <g transform=\"translate(444.772162 191.780812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_30\">\n     <g id=\"line2d_40\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#m2b652fd114\" y=\"154.60575\"/>\n      </g>\n     </g>\n     <g id=\"text_41\">\n      <!-- 0.2 -->\n      <g transform=\"translate(444.772162 159.164812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_31\">\n     <g id=\"line2d_41\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#m2b652fd114\" y=\"121.98975\"/>\n      </g>\n     </g>\n     <g id=\"text_42\">\n      <!-- 0.4 -->\n      <g transform=\"translate(444.772162 126.548812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_32\">\n     <g id=\"line2d_42\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#m2b652fd114\" y=\"89.37375\"/>\n      </g>\n     </g>\n     <g id=\"text_43\">\n      <!-- 0.6 -->\n      <g transform=\"translate(444.772162 93.932812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_33\">\n     <g id=\"line2d_43\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#m2b652fd114\" y=\"56.75775\"/>\n      </g>\n     </g>\n     <g id=\"text_44\">\n      <!-- 0.8 -->\n      <g transform=\"translate(444.772162 61.316812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_34\">\n     <g id=\"line2d_44\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"437.772162\" xlink:href=\"#m2b652fd114\" y=\"24.14175\"/>\n      </g>\n     </g>\n     <g id=\"text_45\">\n      <!-- 1.0 -->\n      <g transform=\"translate(444.772162 28.700812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_2\"/>\n   <g id=\"patch_17\">\n    <path d=\"M 429.618162 187.22175 \nL 429.618162 186.584719 \nL 429.618162 24.778781 \nL 429.618162 24.14175 \nL 437.772162 24.14175 \nL 437.772162 24.778781 \nL 437.772162 186.584719 \nL 437.772162 187.22175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_5\">\n   <g id=\"patch_18\">\n    <path d=\"M 498.547574 187.22175 \nL 656.100515 187.22175 \nL 656.100515 24.14175 \nL 498.547574 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_3\">\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 498.547574 187.22175 \nL 498.547574 160.04175 \nL 524.806397 160.04175 \nL 524.806397 187.22175 \nL 498.547574 187.22175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 524.806397 187.22175 \nL 524.806397 160.04175 \nL 551.065221 160.04175 \nL 551.065221 187.22175 \nL 524.806397 187.22175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 551.065221 187.22175 \nL 551.065221 160.04175 \nL 577.324044 160.04175 \nL 577.324044 187.22175 \nL 551.065221 187.22175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 577.324044 187.22175 \nL 577.324044 160.04175 \nL 603.582868 160.04175 \nL 603.582868 187.22175 \nL 577.324044 187.22175 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 603.582868 187.22175 \nL 603.582868 160.04175 \nL 629.841691 160.04175 \nL 629.841691 187.22175 \nL 603.582868 187.22175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 629.841691 187.22175 \nL 629.841691 160.04175 \nL 656.100515 160.04175 \nL 656.100515 187.22175 \nL 629.841691 187.22175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 498.547574 160.04175 \nL 498.547574 132.86175 \nL 524.806397 132.86175 \nL 524.806397 160.04175 \nL 498.547574 160.04175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 524.806397 160.04175 \nL 524.806397 132.86175 \nL 551.065221 132.86175 \nL 551.065221 160.04175 \nL 524.806397 160.04175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 551.065221 160.04175 \nL 551.065221 132.86175 \nL 577.324044 132.86175 \nL 577.324044 160.04175 \nL 551.065221 160.04175 \nz\n\" style=\"fill:#440256;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 577.324044 160.04175 \nL 577.324044 132.86175 \nL 603.582868 132.86175 \nL 603.582868 160.04175 \nL 577.324044 160.04175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 603.582868 160.04175 \nL 603.582868 132.86175 \nL 629.841691 132.86175 \nL 629.841691 160.04175 \nL 603.582868 160.04175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 629.841691 160.04175 \nL 629.841691 132.86175 \nL 656.100515 132.86175 \nL 656.100515 160.04175 \nL 629.841691 160.04175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 498.547574 132.86175 \nL 498.547574 105.68175 \nL 524.806397 105.68175 \nL 524.806397 132.86175 \nL 498.547574 132.86175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 524.806397 132.86175 \nL 524.806397 105.68175 \nL 551.065221 105.68175 \nL 551.065221 132.86175 \nL 524.806397 132.86175 \nz\n\" style=\"fill:#482677;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 551.065221 132.86175 \nL 551.065221 105.68175 \nL 577.324044 105.68175 \nL 577.324044 132.86175 \nL 551.065221 132.86175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 577.324044 132.86175 \nL 577.324044 105.68175 \nL 603.582868 105.68175 \nL 603.582868 132.86175 \nL 577.324044 132.86175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 603.582868 132.86175 \nL 603.582868 105.68175 \nL 629.841691 105.68175 \nL 629.841691 132.86175 \nL 603.582868 132.86175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 629.841691 132.86175 \nL 629.841691 105.68175 \nL 656.100515 105.68175 \nL 656.100515 132.86175 \nL 629.841691 132.86175 \nz\n\" style=\"fill:#46075a;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 498.547574 105.68175 \nL 498.547574 78.50175 \nL 524.806397 78.50175 \nL 524.806397 105.68175 \nL 498.547574 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 524.806397 105.68175 \nL 524.806397 78.50175 \nL 551.065221 78.50175 \nL 551.065221 105.68175 \nL 524.806397 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 551.065221 105.68175 \nL 551.065221 78.50175 \nL 577.324044 78.50175 \nL 577.324044 105.68175 \nL 551.065221 105.68175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 577.324044 105.68175 \nL 577.324044 78.50175 \nL 603.582868 78.50175 \nL 603.582868 105.68175 \nL 577.324044 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 603.582868 105.68175 \nL 603.582868 78.50175 \nL 629.841691 78.50175 \nL 629.841691 105.68175 \nL 603.582868 105.68175 \nz\n\" style=\"fill:#31b57b;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 629.841691 105.68175 \nL 629.841691 78.50175 \nL 656.100515 78.50175 \nL 656.100515 105.68175 \nL 629.841691 105.68175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 498.547574 78.50175 \nL 498.547574 51.32175 \nL 524.806397 51.32175 \nL 524.806397 78.50175 \nL 498.547574 78.50175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 524.806397 78.50175 \nL 524.806397 51.32175 \nL 551.065221 51.32175 \nL 551.065221 78.50175 \nL 524.806397 78.50175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 551.065221 78.50175 \nL 551.065221 51.32175 \nL 577.324044 51.32175 \nL 577.324044 78.50175 \nL 551.065221 78.50175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 577.324044 78.50175 \nL 577.324044 51.32175 \nL 603.582868 51.32175 \nL 603.582868 78.50175 \nL 577.324044 78.50175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 603.582868 78.50175 \nL 603.582868 51.32175 \nL 629.841691 51.32175 \nL 629.841691 78.50175 \nL 603.582868 78.50175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 629.841691 78.50175 \nL 629.841691 51.32175 \nL 656.100515 51.32175 \nL 656.100515 78.50175 \nL 629.841691 78.50175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 498.547574 51.32175 \nL 498.547574 24.14175 \nL 524.806397 24.14175 \nL 524.806397 51.32175 \nL 498.547574 51.32175 \nz\n\" style=\"fill:#470d60;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 524.806397 51.32175 \nL 524.806397 24.14175 \nL 551.065221 24.14175 \nL 551.065221 51.32175 \nL 524.806397 51.32175 \nz\n\" style=\"fill:#440154;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 551.065221 51.32175 \nL 551.065221 24.14175 \nL 577.324044 24.14175 \nL 577.324044 51.32175 \nL 551.065221 51.32175 \nz\n\" style=\"fill:#450457;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 577.324044 51.32175 \nL 577.324044 24.14175 \nL 603.582868 24.14175 \nL 603.582868 51.32175 \nL 577.324044 51.32175 \nz\n\" style=\"fill:#460b5e;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 603.582868 51.32175 \nL 603.582868 24.14175 \nL 629.841691 24.14175 \nL 629.841691 51.32175 \nL 603.582868 51.32175 \nz\n\" style=\"fill:#fde725;\"/>\n    <path clip-path=\"url(#pded76cb5d5)\" d=\"M 629.841691 51.32175 \nL 629.841691 24.14175 \nL 656.100515 24.14175 \nL 656.100515 51.32175 \nL 629.841691 51.32175 \nz\n\" style=\"fill:#440154;\"/>\n   </g>\n   <g id=\"matplotlib.axis_9\">\n    <g id=\"xtick_11\">\n     <g id=\"line2d_45\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"511.676985\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_46\">\n      <!-- i -->\n      <g transform=\"translate(510.01011 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-69\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_12\">\n     <g id=\"line2d_46\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"537.935809\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_47\">\n      <!-- j -->\n      <g transform=\"translate(536.268934 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6a\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_13\">\n     <g id=\"line2d_47\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"564.194632\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_48\">\n      <!-- k -->\n      <g transform=\"translate(560.720257 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6b\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_14\">\n     <g id=\"line2d_48\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"590.453456\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_49\">\n      <!-- l -->\n      <g transform=\"translate(588.786581 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6c\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_15\">\n     <g id=\"line2d_49\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"616.712279\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_50\">\n      <!-- m -->\n      <g transform=\"translate(610.867904 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6d\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_16\">\n     <g id=\"line2d_50\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"642.971103\" xlink:href=\"#m09d1d08609\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_51\">\n      <!-- n -->\n      <g transform=\"translate(639.168603 203.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6e\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_10\">\n    <g id=\"ytick_35\">\n     <g id=\"line2d_51\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mbc871621cc\" y=\"173.63175\"/>\n      </g>\n     </g>\n     <g id=\"text_52\">\n      <!-- i -->\n      <g transform=\"translate(488.213824 178.190812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-69\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_36\">\n     <g id=\"line2d_52\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mbc871621cc\" y=\"146.45175\"/>\n      </g>\n     </g>\n     <g id=\"text_53\">\n      <!-- j -->\n      <g transform=\"translate(488.213824 151.010812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6a\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_37\">\n     <g id=\"line2d_53\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mbc871621cc\" y=\"119.27175\"/>\n      </g>\n     </g>\n     <g id=\"text_54\">\n      <!-- k -->\n      <g transform=\"translate(484.598824 123.830812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6b\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_38\">\n     <g id=\"line2d_54\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mbc871621cc\" y=\"92.09175\"/>\n      </g>\n     </g>\n     <g id=\"text_55\">\n      <!-- l -->\n      <g transform=\"translate(488.213824 96.650812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6c\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_39\">\n     <g id=\"line2d_55\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mbc871621cc\" y=\"64.91175\"/>\n      </g>\n     </g>\n     <g id=\"text_56\">\n      <!-- m -->\n      <g transform=\"translate(479.858824 69.470812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6d\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_40\">\n     <g id=\"line2d_56\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.547574\" xlink:href=\"#mbc871621cc\" y=\"37.73175\"/>\n      </g>\n     </g>\n     <g id=\"text_57\">\n      <!-- n -->\n      <g transform=\"translate(483.942574 42.290812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-6e\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_19\">\n    <path d=\"M 498.547574 187.22175 \nL 498.547574 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path d=\"M 656.100515 187.22175 \nL 656.100515 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path d=\"M 498.547574 187.22175 \nL 656.100515 187.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path d=\"M 498.547574 24.14175 \nL 656.100515 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_58\">\n    <!-- Friend(x,y) in Group 2 -->\n    <g transform=\"translate(498.826044 18.14175)scale(0.144 -0.144)\">\n     <use xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"50.269531\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"91.382812\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"119.166016\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"180.689453\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"244.068359\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"307.544922\" xlink:href=\"#DejaVuSans-28\"/>\n     <use x=\"346.558594\" xlink:href=\"#DejaVuSans-78\"/>\n     <use x=\"405.738281\" xlink:href=\"#DejaVuSans-2c\"/>\n     <use x=\"437.525391\" xlink:href=\"#DejaVuSans-79\"/>\n     <use x=\"496.705078\" xlink:href=\"#DejaVuSans-29\"/>\n     <use x=\"535.71875\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"567.505859\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"595.289062\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"658.667969\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"690.455078\" xlink:href=\"#DejaVuSans-47\"/>\n     <use x=\"767.945312\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"806.808594\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"867.990234\" xlink:href=\"#DejaVuSans-75\"/>\n     <use x=\"931.369141\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"994.845703\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"1026.632812\" xlink:href=\"#DejaVuSans-32\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_6\">\n   <g id=\"patch_23\">\n    <path d=\"M 665.947574 187.22175 \nL 674.101574 187.22175 \nL 674.101574 24.14175 \nL 665.947574 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_24\">\n    <path clip-path=\"url(#pa85eb16b5f)\" d=\"M 665.947574 187.22175 \nL 665.947574 186.584719 \nL 665.947574 24.778781 \nL 665.947574 24.14175 \nL 674.101574 24.14175 \nL 674.101574 24.778781 \nL 674.101574 186.584719 \nL 674.101574 187.22175 \nL 674.101574 187.22175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"163\" id=\"imagef2b1149d58\" transform=\"scale(1 -1)translate(0 -163)\" width=\"8\" x=\"666\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAgAAACjCAYAAAC31F+mAAABG0lEQVR4nNWY260CMQwF/cqtjBrovxAgtwOPpcNGC7+xxuNj7RLwRzy3NZ/y8O7cyjP7AvOAgoQCDySQA7aQJc0hKJZkAjkEtaBtGkYtS24mqJJfaEGErRNoFwdaWH8+cMCod7+rI5JMwF0wQW0xGJMK5DEHQekOWHC55B3GNL0FFdwiqOtb3IHwE7swb+96R7ZpQQ56krIDPpt6kkiAC+mAoE/hLEkOtAskoEMgAQvaY7OK+ACBxkwmgGTSFOmXSwZLEsFUQsmSRUExQR6z4g0FsuSiFrpkyoTlJIljEgGfi4GDSsCglr/UFvqYBoQ/OSgkYA5Jkgd2MSDgmDDFoAW9SJnQnlslfHnXot/+C64gFdwC/tEaEKot+AcjKG+SDNshLQAAAABJRU5ErkJggg==\" y=\"-24\"/>\n   <g id=\"matplotlib.axis_11\"/>\n   <g id=\"matplotlib.axis_12\">\n    <g id=\"ytick_41\">\n     <g id=\"line2d_57\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#m2b652fd114\" y=\"187.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_59\">\n      <!-- 0.0 -->\n      <g transform=\"translate(681.101574 191.780812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_42\">\n     <g id=\"line2d_58\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#m2b652fd114\" y=\"154.60575\"/>\n      </g>\n     </g>\n     <g id=\"text_60\">\n      <!-- 0.2 -->\n      <g transform=\"translate(681.101574 159.164812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_43\">\n     <g id=\"line2d_59\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#m2b652fd114\" y=\"121.98975\"/>\n      </g>\n     </g>\n     <g id=\"text_61\">\n      <!-- 0.4 -->\n      <g transform=\"translate(681.101574 126.548812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_44\">\n     <g id=\"line2d_60\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#m2b652fd114\" y=\"89.37375\"/>\n      </g>\n     </g>\n     <g id=\"text_62\">\n      <!-- 0.6 -->\n      <g transform=\"translate(681.101574 93.932812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_45\">\n     <g id=\"line2d_61\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#m2b652fd114\" y=\"56.75775\"/>\n      </g>\n     </g>\n     <g id=\"text_63\">\n      <!-- 0.8 -->\n      <g transform=\"translate(681.101574 61.316812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_46\">\n     <g id=\"line2d_62\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"674.101574\" xlink:href=\"#m2b652fd114\" y=\"24.14175\"/>\n      </g>\n     </g>\n     <g id=\"text_64\">\n      <!-- 1.0 -->\n      <g transform=\"translate(681.101574 28.700812)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_3\"/>\n   <g id=\"patch_25\">\n    <path d=\"M 665.947574 187.22175 \nL 665.947574 186.584719 \nL 665.947574 24.778781 \nL 665.947574 24.14175 \nL 674.101574 24.14175 \nL 674.101574 24.778781 \nL 674.101574 186.584719 \nL 674.101574 187.22175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p7e4b26bb32\">\n   <rect height=\"163.08\" width=\"157.552941\" x=\"25.88875\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p9752bad661\">\n   <rect height=\"163.08\" width=\"8.154\" x=\"193.28875\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p36c3c9a1c1\">\n   <rect height=\"163.08\" width=\"157.552941\" x=\"262.218162\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p6f2effbbb1\">\n   <rect height=\"163.08\" width=\"8.154\" x=\"429.618162\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"pded76cb5d5\">\n   <rect height=\"163.08\" width=\"157.552941\" x=\"498.547574\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"pa85eb16b5f\">\n   <rect height=\"163.08\" width=\"8.154\" x=\"665.947574\" y=\"24.14175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": [
       "<Figure size 864x216 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,3))\n",
    "plt.subplot(131)\n",
    "plt_heatmap(df_smokes_cancer, vmin=0, vmax=1)\n",
    "plt.subplot(132)\n",
    "plt.title(\"Friend(x,y) in Group 1\")\n",
    "plt_heatmap(df_friends_ah, vmin=0, vmax=1)\n",
    "plt.subplot(133)\n",
    "plt.title(\"Friend(x,y) in Group 2\")\n",
    "plt_heatmap(df_friends_in, vmin=0, vmax=1)\n",
    "#plt.savefig('ex_smokes_inferfacts.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Satisfiability of the axioms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "forall p: ~Friends(p,p) : 1.00\n",
      "forall p,q: Friends(p,q) -> Friends(q,p) : 0.95\n",
      "forall p: exists q: Friends(p,q) : 0.80\n",
      "forall p,q: Friends(p,q) -> (Smokes(p)->Smokes(q)) : 0.78\n",
      "forall p: Smokes(p) -> Cancer(p) : 0.76\n"
     ]
    }
   ],
   "source": [
    "print(\"forall p: ~Friends(p,p) : %.2f\" % Forall(p,Not(Friends([p,p]))).tensor)\n",
    "print(\"forall p,q: Friends(p,q) -> Friends(q,p) : %.2f\" % Forall((p,q),Implies(Friends([p,q]),Friends([q,p]))).tensor)\n",
    "print(\"forall p: exists q: Friends(p,q) : %.2f\" % Forall(p,Exists(q,Friends([p,q]))).tensor)\n",
    "print(\"forall p,q: Friends(p,q) -> (Smokes(p)->Smokes(q)) : %.2f\" % Forall((p,q),Implies(Friends([p,q]),Implies(Smokes(p),Smokes(q)))).tensor)\n",
    "print(\"forall p: Smokes(p) -> Cancer(p) : %.2f\" % Forall(p,Implies(Smokes(p),Cancer(p))).tensor)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can query unknown formulas."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "forall p: Cancer(p) -> Smokes(p): 0.96\n",
      "forall p,q: (Cancer(p) or Cancer(q)) -> Friends(p,q): 0.22\n"
     ]
    }
   ],
   "source": [
    "print(\"forall p: Cancer(p) -> Smokes(p): %.2f\" % Forall(p,Implies(Cancer(p),Smokes(p)),p=5).tensor)\n",
    "print(\"forall p,q: (Cancer(p) or Cancer(q)) -> Friends(p,q): %.2f\" % Forall((p,q), Implies(Or(Cancer(p),Cancer(q)),Friends([p,q])),p=5).tensor)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualize the embeddings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = [c.tensor.numpy() for c in g.values()]\n",
    "x_norm = StandardScaler().fit_transform(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca_transformed = pca.fit_transform(x_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "var_x = ltn.Variable(\"x\",x)\n",
    "var_x1 = ltn.Variable(\"x1\",x)\n",
    "var_x2 = ltn.Variable(\"x2\",x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi4AAAFcCAYAAADvSDWIAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAChjUlEQVR4nOydeXiTxfbHP6f73lIoZacg+yK7IKCgoqwKggIqKipXFL2gIopXRX6oVxH1KldBQQRBRVHZFJCrILK4sYNQ9r2l7C3dm2V+f6QJaZLuaZOW+TzP+7SZzDtz8ibv5JszZ86IUgqNRqPRaDSaioCPpw3QaDQajUajKSpauGg0Go1Go6kwaOGi0Wg0Go2mwqCFi0aj0Wg0mgqDFi4ajUaj0WgqDFq4aDQajUajqTBo4aLJg4gcE5GXyqjtdSLySSF15onIz/k91mg0lQMRUSIywtN2aCoeWrhUUHK/0JWLI83TtrmZccDdnjZCo6lsiEiwiLwqIgdFJFNELojIZhEZ62nbNJqC8PO0AZpSsQEY6lBm9oQhZYVSKsXTNmg0lZSZwE1YfhzsBCKAdkA9Txql0RSG9rhUbHKUUkkOx1mwTcvMEZHXROSsiCSLyOsi4iMik0TkjIicE5HXXbQbLCKfiMhlETkvIlNFxPZZERE/EZksIkdFJEtE9ojIaPsGRKS+iPyY+0vuhIj807ETEakiIl+LSHquPa8B4lDH5dSRiDwqIsdzbVwmIjEO5z0lIqdEJENEVovI/bkeqTq5z0eIyFwRSRKRbBE5KSLvluRN0GgqKIOAaUqppUqpo0qpnUqpeUqpKdYKdvfbP3Pvp7TcscFfRB7LvQcvicgsEQmwO89fRN4UkQQRyRGRvSJyb0HGiMiI3PaH5T6Oze3/nIikisgmEbnRoY93c+3KFpHTIvKV+y+TxtvQHpfKzV3AR0D33GMOll9UfwM3ANcD80Rko1Jqld15/wTeAzoB1+W2cQawfrF/ArQHRgMHc+t8LCJGpdQcERFgCWACegLZwLTccw7Z9fMp0Bq4Pbf9F4A7gL8KeV2dgHNAfyy/EhcCbwMPAojI4NzH44GVQDdgqkMbr+XaMxA4DdQBWhbSr0ZTmTgN9BGRL5VSFwuo1wlIAG4FGgOLgFrAeaAv0BD4BtiOxYsD8G/gYeAxLN6cu4DPReSMUmqNYwciMgF4ERiolFojIsHAL0B8bh/JwDDgJxFpq5SKxzJODQVGAEeAWCz3uqayo5TSRwU8gHmAEUhzOL7PfX4dsMPhnD3AboeyncDbdo+PARsc6vwbOJX7fwMs01HNHOpMsvYH9AIU0MTu+RggE/gk93Gj3Dq32tUJwDJA/uzwOh0fnwMC7comAqftHm8CFjjY92Zuf3VyHy8D5nn6fdSHPjx1YPmSP47lB8YuYBYWIS92deYBZ4EAu7IVWESL/T24DPg29/8QLD9Wxjj0twRYa/dYAQ8A72MRUW3tnhsJnAL8HNpYC7yX+//7uY+lpNdAHxXz0B6Xis2f5HoZ7Miw+3+nw3NJuYdjWXWHst8dHm8CXhCRCKAjlumcLRbHig0/LAMgQAvgvFLqgPVJpdQ5EdlvV79F7t/f7OrkiMhmIIyCiVdKZds9TsDya8u+7S8LeU0zgO9EpCOwBvgRWK2UqlQxQhpNfiilNonINVg8ptcDNwLfAatE5A6llHUH3nilVI7dqUnAfod7MAlonvt/Iyw/QtY7dPkrFq+qPa8BwcB1SqmjduWdgBpAssM4E4jlBxDAXOAn4JCI/JT7//cOtmoqIVq4VGwylVKHCnje4PBY5VNWWKyT/chhrduVvCLJ2pa1fmHbjkshzxeE48CkXLRXYP9KqdUiUg/ojWU663Ngt4jcopQyFXSuRlNZUEoZsfx4+A14J3d58gIsIubX3GolHUcc70FX48LPWKaAhmHxilrxwTJNdKcLszNybd8hIg2wTGHdhMUD86qIdFFKXXZxnqaSoINzNa7o4vD4eiAxdzDYmltWTyl1yOE4nPvcHiBGRBpbGxCRakATuzb35P7talcnAMsvrdKyN9dmexxfE0qpi0qphUqp0VjiZXpwxROk0VyNxOf+dfTCFodDWKaKejiU38iV+97KWqAf8JKIvGxXvgVL7MxlF+NMorWSUipNKbVEKTUWize4uYt+NZUM7XGp2ASISA0X5WdK2W5bEZmMZbqlI5blkpMBlFKHRORTYLaIPIdlCiYU6ADEKKWmYpl62YklGO+fWDwkU7HE5GDXznLgw9wVSWewxKqEl9J2gHeAr0XkL2AVFnH0gLVrgNzVVFuxDKRm4D4sMUIn3NC/RuP1iMivWALbt2CJG2uEJZ4tGUtgbIlQSmWIyHQs3o9zwA4suZgGYvGOONb/VUR6Y5miClBKvQx8ATwNrBCRF4EDWKaDb8YydbU0N6A3Mbf9DOAeLNPVBxz70FQutHCp2NyAJajNkRgXZcXhv0B9LAOaEctKgf/YPf8olhU7L5L7qwiLAPgAQCmlRGQQlmC/9VgC+aZhmZ+25+Hctn/AMvB8giWAr3ZpjFdKLc4VVROBt3Jt+D/gYyArt1oWMAWIwzLY7QD6Kp03RnP1sAqLYJ+CZXXeWSz3ykNKqfOlbPtFLD8I3sMyHh0CRigXK4rAFm9zK7BaRPyVUhNFpAeWGJi5uW2cw7Li8Mfc0y4Dz2BZ6WSdWhqilNrv1IGmUiFX4q80msqLiEwCximlqnraFo1Go9GUHO1x0VQ6RMSfKzlc0rEE7k0APvSkXRqNRqMpPdrjoql0iIgflumnDlhiZo4C87FkCTUWdK5Go9FovBstXDRlgogMxxJc1wqL1+Mo8BkwU+kPnUaj0WhKiF4OrXE7IjIeS06FaViSSMViSf3dDUtiKo1Go9FoSoT2uGjciohEYlmi+IBS6jtP26PRaDSayoXHhYuIaOWk0VQSlFKlyYjsdvT4otFcoTj3Z1xdf3X8lMuQwONKqTi3GVUC3CZcRCQQy/4vvYBoLOv2/6Xy7jrs6jwd8lCJ+Pzzz3n22WdJSrqyJVLXrl3Zu3cv2dnZrF69mhtvvLGAFjQVFREpU+FSkjFGjy/lS3JOCtnmbKoHxuCwx5DGwxT3/hQRlZEY51QeUuuYx3+guHM5tB9wEku65RNY0jgvEpHWSqljbuxH44Us3Z7AtNX7ObT1MGfPneO7zccZ0qk+AL/9ZtlHsU6dOpjNeg9DTYnRY4yXcjHnEh8emsmx9OP4iA+hvqE8es0jtIhoXvjJGq/F4KXbtrktOFcpla6UmqyUOqaUMiulfsCykqSDu/rQeCdLtyfwwuLdJCRnEli7GeLrz9ips1m6PcHTpmkqEXqM8U7Mysyb8W9xJO0oRmUkx5zDJcMl/nNgOueyz3naPE0pMGB2OryBMltVJCKxWDbVc9xUS1PJmLZ6P5kGizL3CQojsts9JK36kOffnkVaWhpms5kdO3aQnp7uYUs1lQk9xngHB1IPkmJIwezwpWYym1h7dp1njNK4BYMyOx3eQJlkzs3NXPoF8JlSap+L5x/Fst+NphKQmJyZ53Fk57vwDavKsV8WUr36NEJDQ2nYsCFTp06la9eu+bSi0RSdgsYYPb6UL8mGZMA55MGEiXNZpd3ySONJDHhnfJjbhYuI+AALsOwI/KSrOkqpWVg24NNR/5WAWlHBJDiIl7CWN9G0Wz82Tby5XGwwGAycOnWKrKyswitrSoSvry9RUVFUq1YNHx/PpYAqbIzR40v50iC0ASYXsRABPgE0j2jmAYs07iLLuxYJ2nCrcBFLGPkcLAnH+imlDO5sX+OdTOjdlBcW77ZNFwEE+/syoXfTcrPh1KlThIeHExcXp1czlAFKKQwGA2fOnOHUqVPUq1fPI3boMcb7iA2qTueqnfjr4hZyzDkA+Ikfkf4RdK+mPawVGYOXChd3/2yaCTQHbldKZRZWWeO9xMXF8fPPPxep7qB2tXljcGtqRwUjQO2oYN4Y3JpB7WqXrZF2ZGVlUbVqVS1ayggRISAggNq1a3s6VkmPMV7IIw0e4t56w6kTXIeYwGrcGnsLk1u+TKBvoKdN05QCg/JxOrwBt3lcRKQ+MBrIBpLsvkBGK6W+cFc/Gu9kULva5SpUXKFFS9nj4SkiPcZ4KT7iw03Ve3BT9R6eNkXjRnLw9bQJLnGbcFFKHcdVhJZGo9G4AT3GaDTli7d4WBwpk1VFGo1Go9FoKjYG5Z0SwTvllEZTyfjqq6/o3LkzoaGhVK9enc6dOzNjxgy8IR3933//Te/evalWrZqebtPYMOQY2bk+np3r4zHkuNyzRlPJyVG+Toc3oIWLxsKuRfCfVjA5yvLXkOFpiyoN77zzDuPGjWPChAkkJSVx5swZPvroIzZt2kROTo7Lc0ym8ku17e/vz9ChQ5kzZ0659anxbrb/sofh9Z5g8l3/YfJd/2F4vSfY/ovO83e1YcDX6fAGtHDRWETL92Mh5SSgLH8zLsCRdZ62rMxZuj2Bbm+upcHEFXR7c63btylISUlh0qRJzJgxg7vuuovw8HBEhHbt2vHFF18QGGhZdTFy5Egef/xx+vXrR2hoKL/88gvx8fH07NmTqKgoWrZsyfLly23t9uzZk08++cT2eN68eXTv3t32WESYPn06DRs2pFq1akyYMCHffaKaNm3KI488QsuWLd362jUVk5TzqUy+6z+kpWSQkZpJRmomaSkZTL7rP1y+kOpp8zTliEH5OR3egBYuGlgzBQwOK0uVwrBlAVlZWbbDaKxc7mL7PZYUkJCcyQuLd7tVvPz+++9kZ2czcODAQut++eWXvPjii6SmptK5c2duv/12brvtNs6ePct///tf7rvvPvbv31/kvpcsWcKWLVvYtm0by5Yt49NPPy3NS9FcJaz/7k+XU5hKKX799k8PWKTxFHqq6CokLi6O4OBgwsLCbEdiYqKnzXIm5ZTL4n6zTxAcHGw7Jk+eXL52lTH2eyxZyTSYmLa66OKgMM6fP0+1atXw87vyS6Vr165ERUURHBzM+vXrbeUDBw6kW7du+Pj4sGPHDtLS0pg4cSIBAQHcfPPNDBgwgIULFxa57+eff57o6Gjq1avHU089VaxzNVcvqcnpLmNaDDlGUpP1fmNXE97qcfEOKyox33//Pb169fK0GQUTWSd3mugKx54Kh8i68PTfHjKq7HHcY6mw8pJQtWpVzp8/j9FotImX3377DYA6derkmb6pW7fuFRsSE6lbt26evCn169cnIaHo3iD79urXr++dolnjdbS/uRVfvbWc7Iy88Vf+gX50uKW1h6zSeAKDl3hYHNEeFw3cMgn8g/OW+QdbyisxtaKCi1VeEq6//noCAwNZtmxZoXXtV/TUqlWLkydP5hE2J06coHZtS5K/0NBQMjKuBFAnJSU5tXfy5Mk859aqVatEr0FzddG0Y0OuH9CBoNArWW+DQgO5fkAHmnZs6EHLNOWNQfk6Hd6AFi4auHYo3D7d4mFBLH9vn24pr8RM6N2UYP+8N6K791iKiorilVdeYcyYMXz77bekpaVhNpvZsWNHganzrUun33rrLQwGA+vWreP7779n+PDhALRt25bFixeTkZHBoUOHXK4ImjZtGpcuXeLkyZO8//77DBs2zGVfSimysrJsK5yysrLIzs52w6vXVEREhOfnPsazsx7luj5tua5PW56d9SjPz33M06Zpypkc5ed0FAURiRaRJSKSLiLHReTefOqJiLwmIgkikiIi60Sk0FUCeqqojBk0aJBtiqBnz54sXbrUswblx7VDK71QccS6RcG01ftJTM6kVlQwE3o3dfvWBc899xy1a9fmrbfe4oEHHiA0NJSGDRsydepUunZ1vQldQEAAy5cvZ8yYMbzxxhvUrl2b+fPn06yZZbfdp59+ms2bNxMbG8u1117Lfffd57S31MCBA+nQoQMpKSmMHDmSRx55xGVfx48fp0GDBrbHwcHB1K9fn2PHjrnnAmiKhMGchY/44SueH5Z9fHy4YfB13DD4Ok+bovEg2Wb/kp76IZbd22OBtsAKEdmplHJcU3838DDQHTgOvIZl5/f2BTUunk6AJSLK0za4k6XbE2xfhKc/foQX3niPVx4b7mmzKj3x8fE0b97c02Z4DSLCwYMHadSokdvbzu9aiwhKedd2shVhfEnMiOfH09O5kH0CH/GleUQPetUcQ4CP+6YsNZri3p8ioqbu6eNU/nzLHwtsR0RCgUtAK6XUgdyyBUCCUmqiQ93ngQ5KqaG5j1sCW5VSQQXZpqeK3Ijj8lqjWTFnw1G35wbRaDSVg0s5iXx9/F+czz6GwoxJGYi//CtLTk7xtGkaTUljXJoAJqtoyWUn4GoK6CugkYg0ERF/4EHgx8I68LxPshLhanlttsnMtNX7Pb5zssbz7Nq1C4PBkCcIt1q1atSrV8+DVmk8ydYLyzApQ54ykzKQkLGXC9mnqBpYx0OWaTT5ryoSkS12D2cppWbZPQ4DUhxOSQHCXTR1GtgA7AdMwEng5sLs0sLFjZTH8lpNxaZx48ZERESUeT/ePj2isXA++zhmnLd38BU/knMStXDReBSD2bVwUUp1LOC0NMBxkIsAXKVdfgXoBNQFkoARwFoRaamUynffGT1V5EYcl9HWefxTguPaunV5rUajqTzUCm6GrzgHQBqVgZiguPI3SKOxo4RTRQcAPxFpbFfWBnC12VUb4Gul1CmllFEpNQ+oArQoqAMtXNxIeSyv1Wg0lYf20XfgJwEIV6YP/SSQJuHdiPCv7kHLNJqSCRelVDqwGJgiIqEi0g0YiGW1kCObgbtFJFZEfETkfsAfOFRQH3qqyI2U1/JaTcXl0KFDeWJc6tSpQ0xMjAct0niSMP9oHmg4nV/OfMLxtO0E+IbQrsoAulS7ulITVASUUhiNBzCbL+Hvfy0+PiGeNqnMMeYzVVQExgCfAmeBC8DjSqk9IlIP2Au0UEqdAKYC1YEdQCgWwTJEKZVcUONauLiZQe1qa6GisXEpI4czKVnkmMwYTIqadeKoVT3a02ZpvIgqAbUYXLdyZ6mu6BiNpzh3YQQm0wksX5tGoiL+j7Cw+z1tWpliUCWblFFKXQQGuSg/gSV41/o4C3gi9ygyeqpIoykjLmXkkHApkxyTJW2/QnE+LZtLDnvAaDQa70UpxbkL92I0HkKpTJRKRalMki+/Qnb2Zk+bV6YYla/T4Q1o4aLRlBFnUrIwO6zuMStLuUajqRgYDHswmRLAYfWXUlmkpjtvtVGZMJh9nQ5vQAsXjaaMsHpaAFYt+46RD9zP9a0a0rVlHK1atWLixIkcPHjQgxZa+Oyzz+jQoQMRERHUqVOH5557DqPR6GmzNBqvwGy+BLj6wlaYTGfK25xyxah8nA5vwK1WiMiTIrJFRLJFZJ4729ZoKhoBvpbb67OPP+CtyS/w0JPPsnb7ATb9fZQFCxZw8uTJfJPPmUzOuT3KioyMDN577z3Onz/Pn3/+yZo1a3j77bfLrf+ioscXjScICGiDckgSaCGI4KDe5W5PeWI0+zod3oC75VMilk2SPnVzuxpN2bBrEfynFUyOsvzdtchtTcdGBpGeepkZ77zBi6+/za39BxIeHkGNqGDatWvHF198QWBgIAAjR47k8ccfp1+/foSGhvLLL78QHx9Pz549iYqKomXLlixfvtzWds+ePfnkk09sj+fNm0f37t1tj0WE6dOn07BhQ6pVq8aECRMwm694gOx5/PHHueGGGwgICKB27drcd999bNq0yW3XwY3o8UVT7vj4RBAZ8RwiV/JxCUH4+dYkLHSEBy0re7zV4+LWVUVKqcUAItIR0CkfNd7NrkXw/Vgw5GY2TjlpeQxu2Sm7SkgAp/bvxJCTTc/b+hHg60NsZBBVQgJc1v/yyy9ZuXIlP/zwA+np6bRr146HH36Y//3vf2zcuJGBAweyZcsWmjYtWl6gJUuWsGXLFtLS0ujVqxdNmzZl1KhRhZ63fv16WrYsdGf5ckePLxpPERH+OAH+rUhN/wSz6QLBwX0IC30QH5+wwk+uwOSYvMPD4oh3yCeNxhOsmXJFtFgxZFrK3UR2WgrVqlWjfVw1mtWMoEpIAF27diUqKorg4GDWr19vqztw4EC6deuGj48PO3bsIC0tjYkTJxIQEMDNN9/MgAEDWLhwYZH7fv7554mOjqZevXo89dRTRTp37ty5bNmyhWeffbZEr1ejqawEBd1ATNXPiK3+AxHhT+Lj42rrncqFt3pcPGKFiDyaO1e9pfDamquduLg4YmNjSU9Pt5V98skn9OzZs3QNp5wqXnkJqFq1KufPn88T7Prbb7+RnJxM1apV80zf1K1b1/Z/YmIidevWxcfnyi1av359EhKKvtO4fXv169cnMTGxwPpLly5l4sSJrFq1imrVqhW5H29Djy8ajXswmn2cDm/AI1YopWYppToWslGTRmPDaDTy/vvvu7fRyHxmG/IrLwHXX389gYGBLFu2rNC69hl1a9WqxcmTJ/MImxMnTlC7tiW5YWhoKBkZV/YgS0pKcmrv5MmTec6tVatWvn3/+OOP/OMf/+D777+ndevWhdrqzejxRaNxD1q4aDSlYMKECbz99tskJye7r9FbJoG/wwaY/sGWcjcRFRXFK6+8wpgxY/j2229JS0vDbDazY8eOPB4kRzp37kxoaChvvfUWBoOBdevW8f333zN8+HAA2rZty+LFi8nIyODQoUPMmeOcT2LatGlcunSJkydP8v777zNs2DCXfa1du5b77ruP7777juuuu849L1yj0VR4TMrH6fAG3L0c2k9EgrAsevcVkSAR0dsKaEpNx44d6dmzp3uX6V47FG6fDpF1AbH8vX26WwJz7Xnuued49913eeutt6hevTqxsbGMHj2aqVOn0rVrV5fnBAQEsHz5ctu0zZgxY5g/fz7NmjUD4OmnnyYgIIDY2FgefPBB7rvvPqc2Bg4cSIcOHWjbti39+/fnkUcecdnXq6++SkpKCv369SMsLIywsDD69u3rvgvgJvT4otGULyazj9PhDYhyyOxZqsZEJgOvOBT/n1JqcgHnKHfaoKl8xMXF8cknn1CjRg26devGoUOHWLZsGZ9//jnr1q0DID4+nubNm3vWUC9CRDh48CCNGjVye9v5XWsRQSklLk5xC3p80WhKTnHvTxFRnX+c6FT+Z583y/Q+LwruXg49GZjszjY1GiutWrViwIABvPnmm1qkXIXo8aVyo4ynUJnfgfkcEtgdAnuhHWqexWT2qD7JF/2p0HgnuxZZliWnnILLGXBkHdCL//u//6N9+/aMHz/e0xZeNezfv5/o6GhiYmI8bYqmkqKy16EujcWyH5ABlfUD+DWG6M8RCfS0eVct3hLT4oh3WqW5urEmhks5CSgwG+H3D2HXIho1asSwYcOYPn26p630apRSZTJNpNG4G6UMqOQJQBaQm1pfZYBhPyrja0+adtVjMovT4Q1o4aLxPlwlhjPl2BLDTZo0qcAVORqNpgJh2Au42tQzCzK/L29rNHaYzT5OR1EQkWgRWSIi6SJyXETuLaBuQxH5QURSReS8iLxVWPt6qkjjfTgkgDv2VHie8rp165KVleV0mlIqTy4UjfvJb78jjabESCCQz+dKgsrVFE1eSuFh+RDIAWKBtsAKEdmplNpjX0lEAoCfcusPwzJX2KSwxrXHReN9lCAxXFBQEBcuXECvICkblFLk5OSQkJBAaGiop83RVCb8moJUdfFEMBIyvNzN0VyhJB4XEQkFhgAvK6XSlFIbgeXA/S6qjwQSlVLvKqXSlVJZSqldhfWhPS4a7+OWSXk3P4RCE8PVqVOHU6dOce7cuXIw8OoiKSmJlJQUqlSpQmRkZIXeDkDjfYgIVPkIdfF+IAeUGTBD8O0Q1M/T5nktShlIT/uEzPTPUeQQFHQ7YRHj8PGJdFsf5pKtem4CmJRSB+zKdgI9XNTtAhwTkVVAJ+Bv4J9Kqd0FdaCFi8b7sCaAs64qiqxjES0FJIbz9/enQYMG5WTgVYDdqq7HPzcwYsQIRk3+2NNWaSop4t8Eqm+A7PVgvggBnRA/fT8XRPKFUWRnbwQsP/Ay0j8lO/t/VKu+xm0rscwm18LFYR+wWUqpWXaPw4AUh1NSAFe7UtYBbgLuANYA44BlItJMKZWTn11auGi8k2uHuj2DraaIWFd1WT1exmzYuRB23aLfE02ZIRIAQb08bUaFwJDzN9k5V0SLhRzMpjNkZX5PcMhdbulH5TM1VMg+YGlAhENZBJDqom4msFEptQpARN4GXgKaY/HSuETHuGg0mry4WNUlJoNtVZdGo/EsBsMOcBHOp1Q6Odl/uq0fZXY+isABwE9EGtuVtQH2uKi7C5evpGC0cNFoNHlxWNV1OVtRNUScyjUajWfw9a2FiK+LZwLx9YtzWz/KLE5HoecolQ4sBqaISKiIdAMGAgtcVP8c6CIivcTygp4CzgPxBfWhhYtGo8mL3eqtPWdNxJ83066Gb4GrujQaTfkRENgD8YnEst/oFUT8CA5x33RuSYRLLmOAYOAssBB4XCm1R0TqiUiaiNQDUErtB0YAHwGXsAicOwqKbwEtXDQajSO3TAL/YJ7/KYvbPs9gaq9A6seEFriqS6PRlB8ivlSttgR//7ZAABCIr28DqlRbhK+vG7fmUOJ8FOU0pS4qpQYppUKVUvWUUl/mlp9QSoUppU7Y1V2slGqklIpQSvV0zPXiCh2cq9Fo8pIbgDs1ZApTby3aqi6NRlO++PrVoWr17zGbLqDIxsenpvsTcHpJin9HtHDRaDTO6FVdGk2FwMfXVfI+91DEYNxyRwsXjUaj0Wg0Toj2uGg0Go1Go6kwaOGi0Wg0Go2mwqCnijQajUaj0VQYtMdFo9FoNBpNRUG0x0Wj0Wg0Gk1FQQfnajQajUajqTh4qcfFrZlzRSRaRJaISLqIHBeRe93ZPkBcXBw///yzu5vVaDQVgPIYYzQajQUxOx/egLs9Lh8COUAs0BZYISI7i5LCV6PRaIqAHmM0mnLCW4SKI27zuIhIKDAEeFkplaaU2ggsB+53Vx+F8eWXX9KxY0fCwsKoWbMmffv2ZePGjeXVvUajKUO8YYzRaK4qzOJ8eAHunCpqApiUUgfsynYCLd3YR768++67PPXUU/zrX//izJkznDhxgjFjxrBs2bLy6F6j0ZQ9Hh1jNJqrjathqigMSHEoSwHCHSuKyKPAo+7qOCUlhUmTJjF37lwGDx5sK7/99tu5/fbb3dWNRqPxLEUaY4ozvmRn5pCRmklktXB8fNwa8qfRVHi8Rag44k7hkgZEOJRFAKmOFZVSs4BZACKiCm151yJYMwVSTsHlDDiyDuhle/r3338nKyuLO++8s+TWazQab6dIY0xRxpecLAMznv2ctYt+RykIiwzm8WkjuPHOTmVht0ZTIbkahMsBwE9EGiulDuaWtQFKFzS3axF8PxYMmZbHZiP8/iF0uda2e+2FCxeoVq0afn56dbdGU4lx2xjznyc/ZdPyreRkGQC4dNbAO499QnpKBlViI2ncLo6qNaLcZrhGUyEp3K3gEdz2Ta+USheRxcAUERmFJeJ/INC1VA2vmXJFtFgx5ZCxahK3rqxGYnImwWdOcu78eYxGoxYvGk0lxV1jzOULaWxctgVDtjFPeXZmDtOfnk9wRAjGbCP9H+7Bo68PQ8Q7AhI1mvKmpB4XEYkG5gC3AeeBF5RSXxZyzlrgJsBfKWUsqK67J3XHAMHAWWAh8HiplymmnHJZHJSRREJyJgpIi2qI8vHnX/+ZU6quNBqN11PqMeZC0iX8Alz/wFEmMxmXM8nJNrDys/X88s2fpTZYo6molCI41z5twX3ATBHJN4heRO6jGI4UtwoXpdRFpdQgpVSoUqpeYQqrSETWyfPw2FPh9GroR6KqaivzCQwlqvt9vDdlIkuXLiUjIwODwcCqVat47rnnSm2CRqPxDtwxxtRsUB2zsfARODsjh6Uf6WSXmquXkgiX4qYtEJFI4BWgyF/W3h9Gf8sk8A/OU5ShAnjLODRPWcR1dxLZ8xFee+01YmJiqFu3Lh988AGDBg0qR2M1Go23ExQSyPAJAwgKCXB+0mFlUVpKRjlZpdF4IWYXByAiW+wOxxV8xU1b8G9gJpBUVLO8PyAkNwDXtqoosg5vpQ9hefZ1TlWbdOvHpolvl7OBGk3piIuL48yZM/j6+uLv70/Xrl356KOPqFu3rqdNq7QMHz+A2LrV+OqdH0g+e5mMtCyMRjPYxbP4BfjStX87D1qp0XiW/DwsSqmOBZxWnNQoHYFuwDigjuPz+eH9HhewiJen/4bJyfD037Tt/yjB/r55qgT7+zKhd1PP2KfRlJLvv/+etLQ0Tp8+TWxsLP/85z89bVKlRkS4edj1zPrrdRYd+y8vLXiCwJBAfHwtQ2JgcABVqkcy9Km+HrZUo/EcYnI+ikCR0haIiA8wAxhXWDCuI97vcXHBoHa1AZi2ej+JyZnUigpmQu+mtnKNpqISFBTEXXfdxVNPPeVpU64quvRty/trXmTZrDWcOXGB9je1oO/9NxAaGeJp0zQaj1HCVUVFTVsQAXQEvs5duWf1RpwSkbuVUhvy66BCChewiBctVDSVjYyMDL7++mu6dOniaVOuOuKa12bcfx7wtBkajddQhPSwThQjbUEKUMvucV3gL6ADcK6gPiqscNFoKhODBg3Cz8+PtLQ0qlevzurVqz1tkkajKQIZqZn4+fsSEOQi2LuCU4rMuWOAT7GkLbhAbtoCEakH7AVaKKVOYBeQKyJBuf+eKWzqSAsXjcYDLN2eYJvqTErJ4oW3P+GVx4ZjMplYtmwZPXr0YO/evdSoUcPTpmo0Ghcc3HaEt0d9xPE9pxAf4bq+bRk/+zEiqjrFoFZcSihclFIXgUEuyk9gCd51dc4xoEjZHitGcK5GU4lYuj2BFxbvtiVQNJoVczYcZen2BHx9fRk8eDC+vr5s3LjR06ZqNBoXXDh9ifE3/x9Hdh7HZDRhzDHy18rtPHfrqyjlpXnyS4C37g6thYtGU85MW72fTEPe8Pxsk5lpq/ejlGLZsmVcunSJ5s2be8hCjUZTECtm/4wxJ+89bDSYSDh0hvg/DuZzVsXDW4WLnirSaMqZxORMp7Jz303h3GIfIl73o379+nz22We0bJlvhmyNRuNBTuxNwJBtcCoXgaSjZ2lxfRMPWOV+vEWoOHLVCJe4uDgSExNJTEykWrVqtvK2bduyc+dOjh49SlxcnOcM1Fw11IoKJsFOvNR5/FMAakcFs2nizZ4yS6PRFJEW1zfhjxVbyc7IyVNuMplp2Ka+h6xyP94qXK6qqaIGDRqwcOFC2+Pdu3eTmen861ejKUsm9G6qEyhqNBWY3iN7EhIRYktYCJakhe1ubkVcy8qT8VrMyunwBq4q4XL//fczf/582+PPPvuMBx7QeRs05cugdrV5Y3BrakcFI1g8LW8Mbq3zEmk0FYTQyBBmbH6Dm4Z3IywqhOiaUQydcAevfDve06a5FR3j4gV06dKFBQsWEB8fT5MmTfj666/ZuHEjL730kqdN01xl6ASKGk3FplqtaCbOf9LTZpQp3iJUHLmqhAtc8br06NGDZs2aUbu2/vLQaDSFc2xfIsf2JVKrQXUaX1sXkSKlnNBoKixauHiCXYuu7Cp9OQOOrOP++//BjTfeyNGjR/U0kaZCYd1F2s/PD19fX1q0aMEDDzzAo48+io/PVTXrW67kZBmY8shs/v7jED5+PphNirhmNXn9yycIjQj2tHkaTZnhrcKl8o52uxbB92Mh5SSgwGyE3z+kfsqfNGjQgJUrVzJ48GBPW6nRFIvvv/+e1NRUjh8/zsSJE5k6dSqPPPKIp82q1Hz+7kp2/36Q7CwDmWnZZGfmcHjPKT781yJPm6bRlCliUk6HN1B5hcuaKWBwWDFkyoE1U5gzZw5r164lNDTUM7ZpNKUkMjKSO+64g6+//prPPvuMv//+29MmVVp+/PI3crLzbp1izDGx4YftmExe+pNUo3EDYnI+vIHKO1WUcirf8muuuaZ8bdFoyojrrruOOnXqsGHDBlq1auVpcyolOVmu93szm8yYjCZ8fSvv7z/N1Y23LH92pPLecZF18jw89lQ4vRr6OZX7+fmhlNLJ5zQVllq1anHx4kVPm1Fp6dCzOT4+zoG4TdrWJyDQ3wMWaSoSly+mcupAIkZDgRseeyXeuhy68gqXWyaBv0PgnH+wpVyjqSAs3Z5AtzfX0mDiCpJSsth06LxTnYSEBKKjoz1g3dXBo6/cSVhUCAFBFpHiH+hHSHgQY6cO97BlGm8mMy2T/xvyNsNrj+bxjs9zd+woVs/7xdNmFYtKnYBORJ4UkS0iki0i89zRZqm5dijcPh0i6wJi+Xv7dEu5RlMBKGgXaSubN28mISGB7t27e87QcsCTY0xs3ap8sv5lRozvR7f+bRn25G3MXv8yDVroVAqa/HljxHT+XLkNQ7aBrLQs0pLT+e+Tc9i+drenTSsy3upxcVeMSyLwGtAb8J71gdcO1UJFU2EpaBfpm68JZ/369YwbN44RI0bQunVrD1lZbnh0jAmvEsrdY3qVd7eaCsqlM8lsWb3TaSPG7Ixsvp66lHY3V4z7taSriEQkGpgD3AacB15QSn3pot6DwFigMXAZ+BL4l1KqwHk1twgXpdTiXCM6AnUKqa7RaIpAvrtIL/Gl7hv+tGjRgmeeeYbHHnvMA9aVL3qM0VQkLiYl4x/g53IH6TPHnad7vZVSeFg+BHKAWKAtsEJEdiql9jjUCwGeAv4EYoDlwLPAmwU1XnlXFWk0FRy9i7RGUzGp06QmZrPzt76vny9terb0gEUloyQxLSISCgwBWiml0oCNIrIcuB+YaF9XKTXT7mGCiHwB3FRYHx4JzhWRR3Pnq7d4on+NpiKgd5EuGXp80XiawOBAHpwynKCQQFuZj68PwWFB3PPCnR60rHiUMDi3CWBSSh2wK9sJFEWx3Qg4emWcKNTjIiLrgB75PL1JKVXsqECl1CxgVm773hGmrNF4GdZNGKet3k9icia1ooKZ0Ltppduc0d1jjB5fNN7AXU8PoFbDWL6aupQLpy/S7ubWjHj5LmLrx3jatCKTX4yLw4+CWbn3nJUwIMXhlBQgvMC+RB4COgKjCrOrUOGilOpZWB2NRlM2XA27SOsxRlNZ6TqwE10HdvK0GSUnHw+LUqpjAWelAREOZRFAan4niMggLHEtvZRShQYBuWs5tJ+IBAG+gK+IBImIjp/RaDRuQY8xGk35U8KpogOAn4g0titrQz5TQCLSB5gN3K6UKtJacXfFuLwEZGIJvBmR+/9Lbmpbo9Fo9Bij0ZQzJdlkUSmVDiwGpohIqIh0AwYCC5zaF7kZ+AIYopT6q6h2uUW4KKUmK6XE4ZjsjrY1Go1GjzEaTfkjJrPTUUTGYMm3dBZYCDyulNojIvVEJE1E6uXWexmIBFbmlqeJyKrCGteuVo1Go9FoNE6UNAGdUuoiMMhF+QkswbvWx4UufXaFFi4ajUaj0WiccZGLxhuovJssaopEz549qVKlCtnZ2Z42RaPRaDReREliXMoDLVyuYo4dO8aGDRsQEZYvX+5pczQajUbjTZjNzocXoIXLVcz8+fPp0qULI0eO5LPPPvO0ORqNRqPxJkzK+fACtHC5ipk/fz733Xcf9913H6tXr+bMmTPl0m9cXBw///yz7fFXX31FlSpV+PXXX8usD4B58+bRvXuxEz1rNBrNVYmYzU6HN6CFy1XKxo0bOX78OEOHDqVDhw5cc801fPml067jZc5nn33GE088wYoVK+jRI7+s7xqNpixRyoBSWZ42Q+NtmMzOhxeghctVxNLtCXR7cy0NJq5gyDNv0KbLjVSrVg2Ae++9t9yni2bNmsX48eNZvXo1Xbt2Lde+NRoNmM0ppF8cQ8rppqScbkrquQGYDPGeNkvjLXhpjIteDn2VsHR7Ai8s3k2mwYTZkM25nes4p8xUqVadQD8fsrOzSU5OZufOnbRp06bM7Zk5cyYbN25kzZo15dKfRqPJi1KK9Av3YjLsAwwAmAw7ST0/mIjqv+LjW92zBmo8j8nkaQtcoj0uVwnTVu8n02D5EGYe/APx8aHWqBk0Gj2DHTt2EB8fzw033MD8+fPLxZ6ffvqJLl260Lp16zLrY9CgQURFRdmOMWPGlFlfGk1Fw2TYgcl4CMjJ+4QykJ3+hUds0ngZeqpI40kSkzNt/6f9vYbQ1r3wi6jOeVMwNWrUoEaNGjz55JN88cUXGI3GMrfno48+4sCBA4waNQqlyiZSfenSpSQnJ9uOGTNmlEk/Gk1FxGw8huuvgGzMxv1u6+fC6UtMHzePB5o/w5PdJ/HLot9Ldc+v/Woj9zd6kt6B93B/oydZ+9VGt9mqcUBPFWk8Sa2oYBJyxUvs0Cl5yq0MHTqUoUOHlo0BuxbBmimQcgouZ1A9bS9r1qyhR48ejBkzhpkzZ5a6i6XbE5i2ej+JyZkkpWSx6dB5evVyg+0aTSXE178ZKFc/UoLw9W/nlj6Sz13m8etfIu1SBiajiTMnzvPeE59yPD6Bka/cVez21n61kf+MnkV2hsVLdOb4ef4zehaCcNPwbm6xWWOHnirSeJIJvZsS7O+bpyzY35cJvZuWfee7FsH3YyHlJKDAbITfP6TW+Y2sXbuWH3/8kaeffrpUXVhjeBKSM1GA0ayYs+EoS7cnuOUlaDSVDV//5vgFdgaC7Ep9EJ9QAkKHuaWPpTNWk3E5E5PxyhdgVkY2301fxeWLacVub+5LX9lEi5XsjBw+fWlhqW3VuMBLPS5auFwlDGpXmzcGt6Z2VDAC1I4K5o3BrRnUrnbZd75mChgy85aZcmDNFOrWrcvatWv59ttveeGFF0rchX0Mj5Vsk5lpq93n8tZoKhuh0XMIDH0E8YkGCcE/qC/h1Vbg4xPllvZ3rIvHkO3s1fEL8OPo3yeL3d7ZExeKVa4pHcpgdDq8AT1VdBUxqF3t8hEqjqScyvPw2FPhecobNGjAyZPFH8TssY/hAajz+KdO5SNHjmTkyJGl6kejqUyIBBIcOZHgyIll0n5svWrs23zYKabFaDBRrVaVYrcXU7cqZ0+cd1muKQP0VJHmqiWyTvHKS4B9rE5RyjUaTdkzZFwfAoL885T5+fvSuG19ajeqUez2Hnp1GIEhAXnKAkMCeOhV90xtafKiTCanwxvQwkVT9twyCfwdBIR/sKXcTXg0hkej0bikSfuGTPhkNJHVwgkKCcQ/wI+2PVsweVHJYtpuufcGxs0YZfGwiMXTMm7GKG659wY3W64BvHY5tJTVUtQiGyCiPG2DphywX1UUWcciWq517wom+1VFtaKCmdC7qWemxq5SRASllHjaDnv0+OIdmExmko6eJSwqlMhq4W5pUymFiFd93Lya4t6fIqJu9b/Hqfwnw0KP3+dauGg0GreghYtG472URLj08nH+cfmzeZHH73OvEC4eNUCj0bgNTw9ojujxRaO5QjGFyzGgvounjiul4txlU0nwuHBxJyKyRSnV0dN2lAb9GrwD/Ro04N3XUNtWMrRtFR8dnKvRaDQajabCoIWLRqPRaDSaCkNlEy6zPG2AG9CvwTvQr0ED3n0NtW0lQ9tWwalUMS4ajUaj0WgqN5XN46LRaDQajaYSo4WLRqPRaDSaCoMWLhqNRqPRaCoMlUq4iEigiMwRkeMikioi20Wkr6ftKi4i8qSIbBGRbBGZ52l7ioqIRIvIEhFJz30P7vW0TcWhol53eyrLPeAtePv19LbPrDePAd52rezx9s+Zt+HnaQPcjB9wEugBnAD6AYtEpLVS6pgnDSsmicBrQG+gIm1v/CGQA8QCbYEVIrJTKbXHo1YVnYp63e2pLPeAt+Dt19PbPrPePAZ427Wyx9s/Z15FpV9VJCK7gP9TSn3naVuKi4i8BtRRSo30tC2FISKhwCWglVLqQG7ZAiBBKTXRo8YVk4p03YtCRb4HvBFvvJ7e8JmtKGOAN1yrouCNnzNvoVJNFTkiIrFAE8Ab1H5lpwlgsg5YuewEWnrIHg36HnA3+noWiB4D3IT+nBVMpRUuIuIPfAF8ppTa52l7rgLCgBSHshTAPXvYa4qNvgfci76ehaLHADegP2eFU6GEi4isExGVz7HRrp4PsADLXOuTHjPYBUV9DRWQNCDCoSwCSPWALVc93nwPeBPePKZUwLFCjwGlRN+3RaNCBecqpXoWVkdEBJiDJTisn1LKUNZ2FYeivIYKygHAT0QaK6UO5pa1Qbs6yx1vvwe8CW8eUyrgWKHHgFKg79uiU6E8LkVkJtAcuF0plelpY0qCiPiJSBDgC/iKSJCIeLXIVEqlA4uBKSISKiLdgIFYfj1UCCridc+HCn8PeBleez296TPr7WOAN12rfPDaz5nXoZSqNAdQH1BAFha3pfW4z9O2FfN1TM59HfbHZE/bVQS7o4GlQDqWJX33etqmq+G6O7yGSnEPeMvh7dfT2z6z3jwGeNu1crDNqz9n3nZU+uXQGo1Go9FoKg+VcapIo9FoNBpNJUULF41Go9FoNBUGLVw0Go1Go9FUGLRw0Wg0Go1GU2HQwkWj0Wg0Gk2FQQsXjUaj0Wg0FQYtXDQajUaj0VQYtHDRaDQajUZTYdDCRaPRaDQaTYVBCxeNRqPRaDQVBi1cNBqNRqPRVBi0cNFoNBqNRlNh0MJFo9FoNBpNhUELF41Go9FoNBUGLVw0Go1Go9FUGLRwKQdEZJ6I/FxOfY0UEWMx6h8TkZcKqVNu9ms0Go1GUxBauBST3C9x5eIYXsBp44C7y8vGMqCi26/RaApBRKqKyFsisl9EskTkrIisF5EHRMTP0/ZpNFb0h7FkbACGOpQlO1YSEX/AqJRKKQ+jyoqKbL+I+ACilDK5qb0ApVSOO9rSaLwFEakDbAKMwCRgO2AAugLPAruAHZ6yrzD0fXl1oT0uJSNHKZXkcGRZp1RE5J8icgzIBkJdTbWIyHAR2ZH7y+aYiLwrIqF2z68TkU9E5GURSRKRi7nt2NcREXk195dRmoh8BVRx6KeOiHwnIudFJFNEjojIBIfXEyAi7+f2cUZE3hYRX7s28thv9zqfEZEEEcnI7aOaXZ2WIrJaRJJFJF1E4kXk/vwuqHWKS0R6icie3Ovyl4i0d6jXQUT+l/t6z4nIYhGpb/f8ZBE5JCLDRGQfkAM0z6fPBrltZYnICRF5wnrd7eocE5HXRGSGiFzAMrgjIv1EZKuIZOde/xkO742r93yEiCgXtt6b+75k5V7XBvldJ42mjJgJBALtlVJfKKX2KqUOKqU+AzoAB0Xk1tz746KIpIjIryJynX0jud7nMSKyQERSReSkiDznUMdPRCaJyOHc+ydBRP5r93xY7nhkHVu2i8hgu+fjcvu5T0RWikg68O8yvToar0ILF/dzHXAzMAhoA2Q5VhCRkVgGineAFsADQC/gI4eqdwHRQE/g3tw27QeBscAzwASgPbANeMWhjRlAZG77zYFHgFMOdf4JnAY657b5VK5Nhb3OnkAfoB9wLfCp3fMLgQtYfrG1zrXzUiFt+gBvAWNy2z8LrBCREAARaQH8CvwOdMRynU3ATyISZNdOrdw2RmK5vscdOxIRAZZguTY3AncA/YF2Luwam2vL9cCDInItsBxYD7QFHgQG4Pz+FYWaubYOA24AwoGlufZpNGWOiERjuYc/cOVdVUoZlFLpQBjwIdAFy319EPhRRKo6nPIKV+6NacBUEbnJ7vk5wJPAZCz35xDgSK4tAnyPZewcBrTCMlZ+JSK3OPQzFfgSy/jyYQleuqaiopTSRzEOYB4Wd2qa3XHY7rlkIMzFOT/bPT4GPOZQ50ZAAVVyH68DdjnU+Qj43e7xKeB1hzrfYpmesj7eCUwu4PUcA5Y7lP0ILCzA/nm5rzvSruy2XPsb5z5OAUYW47qOzD3/FruyKrn9jLLr9yuH8wKBDGBQ7uPJgBmoV0h/t+b218iuLDq3rU8crs8ah3MXAH85lA3M7be+q2uWWzbCcsvZHk92YUOT3LJenv6s6+PqOLD8SFDA4GKe54Plx8h9dmUKmO5Qbx/wRu7/jXLr3JVPmz2x/NiLdCj/FFia+39cbhsve/ra6cMzh/a4lIw/sfyasB72vwTilVJp+Z0oIjFAfeDd3OmONBFJA1blVmlkV32Hw+kJQGxuOxFAbeA3hzobHR6/B/xLRP4UkakicqMLs/LtpwD2qry/zjbl/rVOy7wNfJLrWp7sOOVTAL9b/1FKXQLisfwqA+gE3Olw3S4AQUBjuzbOKKVOFNJPC+C8UuqQXX8Xgf0u6v7l8Lglll+U9vwKiJ2tReWcgw0HgPMlaEejKSlW754qsJJlanVB7vTmZeAyFo9lfYeqOxwe248n1nHgf/l00wkIABIc7vMR5L3Hwfm+1Fwl6ODckpFp/2XjQHoh51rF4jjgFxfP20/jOAabKbvzizTYKKXmisiPWKZ0bgJWicgSpdSIIvZTIpRSr4rIF7n93oxFPL2llCpw6bUL7KdMfLB4O950Ue+C3f+FvQc2M4tYz1V7+Z1rLTeT13YA/yL2p6eJNOXJQSyf15ZYpk/z4wcsovoJ4CSWcWMjFqFhT2nGEx8s3tpOLp5zbLeo97mmkqE9LuWMUuoMlpu+qVLqkIvDKSYmn3ZSsPyS6ebwlONjlFKnlVJzlVIPYIlxuS/XY1Mamju00TX3b7xdv0eUUjOUUndhWanweBHa7WL9R0SigGZ2bW7BEktz2MV1Kyx+xpG9QIyI2DxcIlIFy1RNYewBejiU9cAyQO/NfXwWS6yNPa68TjEico2dDU2AqthdR42mLMn1NK4CnhSRSMfnRcRfRGpj8QK+qZRarZTai2VKp3oxu9uW+/e2fJ7fAkQBQS7u8cK8qJqrBC1cPMOLwFgReUlEWolIUxEZJCIfF7Odd4BxInK/iDQWkfFYgnBtiMgHuStgrhGRlsBgLMIptZSvQQHzc+2/EUtw3Aql1MHcVQEfisjNue7ldlg8L3sLbNHS5lsicqOItAbmY/lV9WXu8//GMhX1uYhcl9v2TbkrEBoW0/6fscT/zBeRTiLSBos3x0jhnphpQHuxrARrJiJ9gP8CX9gNrj8DzUTkydxr/w+cl9CDJaZmrlhWS3UEPgN2556v0ZQXY7Asf94qllVuLUSkkYiMwCImYoFzwD9EpImIXI8lAD+zOJ3keqq/AGaIZZXdNbn337jcKmuxfPYXi8idItIw9974Z+49pNFo4eIJlFILsHyJ9ccyT7sZS6BmQjGbeh+YDvwHy7zy9cAUhzqCJc7lbyxxGaFAX6VUUadJ8uMvLG7in4DVWLwQD+U+Z8QSWDsHi+dgNXAGy8qogjAD/wI+xjJY1gT6K8uKBpRS8Vg8O2G5be4FZgPBuMijUxC5r/9OLMJoAxY3+CosMS4Fer2UUruwrELqgUX8LABWAI/Z1fkZeAl4IbfOzTi/N2BZzTUL+A5LnFAmcKcb3h+NpsjkCu72wDIsY9E2LPFz/8Ai1HdhSUJ5Te7/87CMK6dL0N1DWO7x17CMD0uABrl2KCz31mLgXSyBvSuwjJWHS9CXphIienzUFBcRmQfUUUr1KqxuMdociWU1j8firkQkHEuM0UtKqf8WVt8N/U0GRiilGhVWV6PRaDQWdHCu5qpFRO7A4h2KxzJX/wqWaaJFnrRLo9FoNPmjhYvmaiYES9BwHJYpo61A99wAao1Go9F4IXqqSKPRaDQaTYVBB+dqNBqNRqOpMHh8qkjsNp3TaDQVG6WUVyXP0+OLRnOF4tyfcXX91fFTRldPHVdKxbnNqBLg8akiEdErPzWaSoCIeKVw0eOLRlP8+1NEVFai80b1QbWOevw+d9tUkYgEisgcETkulu3Mt4tIX3e1r9Form70GOPd7NuXyLtvr+TV/1vKr+viMZnMnjZJU0qMmJwOb8CdU0V+WDKy9gBOYNkmfZGItFZKHXNjPxovZOn2BKat3k9icia1ooKZ0Lspg9rV9rRZmsqFHmO8lG8W/cncOevJyTGilOKP3w+y4ocdvDF1GL6+OpSyomJQ3ik+3faJUkqlK6UmK6WOKaXMSqkfgKNAB3f1ofFOlm5P4IXFuzl5MR2z2URCciYvLN7N0u3FTQSs0eSPHmO8k+TkdD795Feysw1Yp+Wysgzs+fsUmzYe8LB1mtJgwOx0eANlJoVFJBbLhnV7XDz3qIhsEZEtZdW/pvyYtno/yacOcnLaHVz46WOUUmQaTExbvd/TpmkqMfmNMXp8KV92bD+On5/zV0lWloEN6/d5wCKNuzAo5XR4A2WyqkhE/LFspPWZUsrpk6uUmoVlfxYd9V+Bsf66SriUgSkjGQDjxQSUMgNCwqUMzxmnqdQUNMbo8aV8CQ4OcFnu4yOEhgaWszUad5LjJULFEbd7XETEB8umcznAk+5uX+NZlFK2w0rtKiEYzh4FwHDuGGazCaWgVmQQZrMZs9mMXtmhcRd6jPEu2ndo4DKOxd/fl37925a/QRq3ka3E6fAG3CpcRESw7AgcCwxRShnc2b7GM7gSKyJiOyb0borp7GEkOAJzViqGpEME+/vwXN/mWD4SljasAkaLGE1J0WOM9+Hv78ubbw0nPDyIkJAAQkICCAjwY9SjN9GkaU1Pm6cpBTn4OB3egFvzuIjIR0BboJdSKq2I5+g8C16Gq/fDKkDyo0ad+uSE1+bSgb+o0/Ne3pv6GoPa1cbX1zdPu67Ej6ZyUB55XIo7xujxpfwwGExs33aMzMwc2rarT2RkiKdN0thRkjwuW4/XdSrvUP+kx/O4uE24iEh94BiQjWXHXSujlVJfFHCeHli8gJKIFSvnz58nJiaGqVOn8sMPP5CZmcnmzZsxmSxr/u3Fi31fWsRULspauJRkjNHji0ZjoSTC5Y9jcU7lXeKOeVy4uC04Vyl1HNDfPBWI0ogVe7ZssSze6NSpE2azmRdffJHExERq1aqFyWTCZDLlES/WPnJvpDyH/XMajT16jNFoypcc5Vt4JQ/gHRNWmnKjsHiVkrB582YAOnToQL9+/QBYtWoVcMXbYvW+OCIi+Pj44OPjk0fI6IBejUaj8SwGfJ0Ob0ALl0qOo0fDSmnFij1btmyhadOmRERE0Lp1a+rUqcOKFStszxcmXuxtsgoYq4jRq5I0mvLHaDDy/Uf/48nOL/Bk5xf4/qP/YTS43HBPU4kxKF+nwxvw+O7QGvdToimgXYtgzRRIOQWRdeCWSXDt0CL1t3nzZm655RZbP/369eOLL74gOzubwEBLHgdfX1+X00aucJxKsr4m6/86HkajKTuUUkwaOJVd6/eSnZEDwLE9J/h9+WZeX/Evfe9dReQo75QI2uNSSSiVV2XXIvh+LKSc5MglE6ZLJyyPdy0qtN+EhAROnz5Np06dbGUDBgwgPT2dDRs25Knr42P5uBXmebHHar/VEwN6abVGU5bs3hDP7g3xNtECkJ2RYyvXXD14q8dFC5cKjNumgNZMAUMmb27I4prpaXy71wiGTEt5IVjjW+yFy0033URQUFCe6SKrbSURL47n63gYjabs2L0+nuzMHKfy7Mwcdq/XwuVqwqD8nA5vQAuXCkaZxKuknOKXowZ+P2UREwmpJlt5YWzZsgVfX1/atm1rKwsJCaFnz56sWLHCSVDYixezueQbdul4GI2mbKgSG0mgizT+gcEBVImN9IBFGk+Ro3ydDm9ACxcvx1Vwrb1QKe18s1KKtWejmLXVQJc6ftSNgD8TcgVFZJ1Cz9+8eTOtWrUiODg4T3n//v05fPgwBw447w5rFR1WsVEa9FSSRuNeegy93vbjwh4fHx96DL3eAxZpPIX2uGiKTFmvArLvZ82aNcw+Wps2tYJ4tmsA3ev5sfGECeUXZAnQLeT8LVu25JkmsmJdFr1y5UqX57pTvDi2qaeSNJqSExoZytSfXqZa7WiCwgIJCgukWu1opv70MqGRoZ42T1OOeGuMi3fIJ43bksEVp681a9YwZ84c2va8g2d6PYH/+n/Tre5hFv5t5HiHl4krZFXRkSNHuHjxokvhEhcXR8uWLVmxYgVPP/20y/OtQsM6xePqV15JsZ9CAr0qSaMpDs2ua8yXJz7i2N8nAIhrVU/fM1ch3iJUHNEeFw9SXp4Vx/4Afv75Z+bMmUO7du145pln8O9wLzz9N93+/TsAmy5WKbQ9V4G59vTr148NGzZw+fLlfNsoC8+LY/t6KknjzSil2L7rBLPm/srCb/7k3PlUT5sEWO6dBq3r06B1fS1arlKylL/TURREJFpElohIuogcF5F786knIvKaiCSISIqIrBORloW1r4WLm1m6PYFub66lwcQVdHtzLUu3J9ieK+t4lYKw/4L+6aef+PTTT2nfvj1PP/00/v5XPoytW7cmPDycTZs2Fdrmli1bCAwMpFWrVi6f79evH0ajkZ9++qnAdspavDj2k99UkhYxmvLGZDLz0qtLeOGV7/hy0Z98umAjI0bN5rc/D3naNI2mNFNFHwI5WHZxvw+YmY8guRt4GLgBiAZ+BxYU1rgWLm5k6fYEXli8m4TkTMxKkZCcycTvdrFk26ly86o44iiS/ve//zF37lw6duzoJFrAkiju+uuvL5Jw2bx5M23btnVqw0rXrl2JiopyWhbtivISL4796XgYjSdZt2E/W7cfJyvLAFh2WM7ONvLa1B/IztGZajWexWD2czoKQ0RCgSHAy0qpNKXURmA5cL+L6g2AjUqpI0opE/A50KKwPnSMixuZtno/GTlGTn38KMqQSUBsQ3wCQhj9Yxjrb2hGeHg4ERERhIeHF3iEhoa6ZbWQFWtbq1atYv78+XTs2JFx48bh5+f67e/WrRuTJ08mJSWFyEjXyx9NJhNbt27loYceytcGPz8/brvtNlatWlWkGJayjHkprF8dD6PxBD+t3WMTLXkQ+HtPAh3a1S9/ozSaXEoY49IEMCml7JeU7gR6uKj7FTBMRJoAR4EHgR8L60ALFzeSmJxp+aLz88ecchpzRgqmy+e4mJjJvMN/kJqaWqRf8z4+PoSFhRUqcBxFUEREBGFhYXnOjYiIwM/Pj5UrV7JgwQKuu+46xo4dW2Da/W7duqGU4vfff6dPnz4u6+zbt4/09PR841usDBgwgEWLFrF169ZC64LnxIu1b+tfvWu1pjzw9c3/8+3jqz9rGs+Sn3ARkS12D2cppWbZPQ4DUhxOSQHCXTR1GtgA7AdMwEng5sLs0sLFjdSKCiYhOZPqA5/j9KdPEtz4eiI7D6ZWZBC/PnczPj4+ZGdnk5qaajvS0tK4fPlynrLU1FSnsrS0NM6dO5enLCcnb3ZLV14WAH9/f0SEsLAw9u/fz/Lly53Ejb0A8vf3x8fHh4ULF1KjRo089QIDAxGRQgNzrfTu3RsRYeXKlUUSLlbbPSVe7G2wD+a198ZoL4zGXfTr3ZqtO447eV18fX1o3aK2h6zSaCwY8xEuSqmOBZyWBkQ4lEUArqLOXwE6AXWBJGAEsFZEWiqlMvLrQAsXNzKhd1NeWLwbYuIIqt+W9B2rqHnDMCb0bYmIYDKZ8Pf3JyYmhho1apT6y89eBFmFTlpaWh5xs3nzZrZu3Up0dDT169cnPT2d1NRUkpKSOHjwoK1eenp6nrbNZjPz58/n888/z1Pu5+dHeHg4OTk5+Pj48I9//KNAERQeHk6TJk1YuHAh/fr1y1MnNDQ0X1HimBHXE+LFlS2gp5I07qNr50bcelML/rdmD2azws/PB0R4fdKd+Pl551JUzdWDwVyicfcA4CcijZVSB3PL2gB7XNRtA3ytlLKmaZ8nIu9hiXPZ4qI+oIWLWxnUzvILadrq/WR2vIOz302hf8QJhnQcAFjEgNFoxGg0YjKZ8PHxwdfXt8RfyoGBgQQEBFC1alXAeRpj+fLl/PHHH4wZM4YxY8YUOD1kMpnyiJ7JkyezfPlyFixYQGZmppMXaOHChQQGBhISEsLly5dJSEjII6LsA2ytX/SdO3d2stEqeqxixlEEWae+IiIiiIyMtD3neJ7VU1SW6KkkjbsREcaP7c2dd7Rn6/bjhIcFcUPXxoSGBnraNI0DKvs3VMZ8MF+EwFuQkPsQnzBPm1WmlCTGRSmVLiKLgSkiMgpoCwwEurqovhm4W0S+As5hWYHkDxS4rE48vYJCRJSnbSgLzGYzTZs2pVq1avz+++95nlNKYTQabV/uImITMEX94stvWsjKsmXL+Oqrr+jatWuhosUVixYtYtiwYWzevJmOHfN6BXNycggPD2fs2LFMmzbNpW1WsWP1+owYMYJ//vOfdOnSxeVUmLXMXjxZ62RnZxfJ5sDAQCcxYxU9BcUHuRJBwcHBxXovXK0aA8tKs2mr95OYnEmtqGAm9G5qE7iVjVxB51XKrbKOL5ryxZw+B9Kmg8rMLQkE31ik6tIKI16Ke3+KiPrH5gecymd3ml9oOyISDXwK3ApcACYqpb4UkXrAXqCFUuqEiAQB7wCDgVAsguVfSqkCA3S1x6WM8PHxYezYsYwdO5Y///yTzp07254TEfz9/VFKYTKZbJ4Y+yW6BXlhChMtS5YsYdGiRXTv3p3HHnus2KIFLAG6ABs3bnQSLrt37yYnJyffmBURISQkhJCQEGJjY7nmmmt4/vnnOXXqFMOHDy+2LQaDgZSUFJuwsR75xQPZPz5//jxHjx7NM5VWFHx9fZ3ETmEiyCqArH83HU9j2tqTZGSk4xscQUIylqlEqLTiRaOpbChzKqS+B9j/gMoG01lUxtdI2CMesqzsMaiSzQYopS4Cg1yUn8ASvGt9nAU8kXsUGS1cypCRI0fy0ksv8f777/Pll186PS8i+Pn55dnZ2D4g1VHAFCZYAL777ju+/fZbbrjhBh577LEST0PVrl2b+vXrs2nTJp566qk8zxU1MNfe1n79+rFw4UJycnIICHDeebYg/P39qVatGtHR0SiliuWZcsRsNtvifBzjggoLkk5LS+PMmTN5yoxG17k2HL0wvtF1qfOPmWQaTExbvV8LF42momDYDeIPytHzmwXZa6ESCxej2TvjrLRwKUPCw8N55JFH+O9//8u0adOoXdv1l5X9VJFVuFg9MY4p6wv6wv7222/57rvvuPHGGxk9enSpA1q7devGL7/8kieGAywZc6tWrUpcXFyR2+rfvz+zZ89mw4YN3HLLLSWyx3GlUUnEi4+Pj81TUqtWrRLZYUUpRXZ2NhcvXmTv3r3s3r2b+Ph4jhw5QmZmJn/tO47xYiKILyEtrqQwSEzOLKBVjUbjVfhEYVmp64iAb0w5G1O+GEvocSlr3GqViDwpIltEJFtE5rmz7YrKk08+iclkYsaMGYXWtQoYPz8/25Jkq4ixBvS6yiqrlLKJlp49e7pFtIBFuJw+fZpjx47lKbfGvRRHONx8880EBgYWKYtuQVgFiycz3BoMBvbt28fSpUt55513+Ne//sWcOXP466+/iIyM5N5776Vv374Yk8/gV7UOtUbPIrrblSmyWlHBHrG7oqPHF41H8GsOPrVw/roMREKcY0AqE0azr9PhDbjb45IIvAb0BvToDDRs2JA77riDjz/+mJdeeong4MIvi1UQ2HsVrF/UJpPJtiLJKk6++eYblixZwk033cQ//vEPt61s6d69OwCbNm2iQYMGAGRkZLBnzx7uuOOOYrUVGhpKz549WblyJe+++26p7HKH56U4GAwGDh48SHx8PHv37uXgwYMYDJa8G/Xq1aNnz560aNGCZs2aERERwfTp05k0aRLN23TCcNMz5PiH2toK9vdlQu+mZWpvJUaPL5pyR0Qgeg7q4j/AdArEF5QJwl9AAtp72rwyxVs9Lm4VLkqpxQAi0hGo4862KzJPPfUUy5Yt44svvmDUqFGF1rd6EqzCxDpVYx83YfXEfPfddyxfvtztogWgZcuWREREsHHjRkaMGAHA9u3bMZlMRY5vsad///6MHTuWgwcP0rhx41LZZi/o3C1esrOzOXjwIHv37iU+Pp5Dhw7Zgqfr169Pr169bEIlLOzKigKlFBMnTmTq1KnceeedLFiwgB/jL/Duz4euilVFZY0eXzSeQnxrQbUfwHgIVDL4tUR8QjxtVpmTY/IOD4sjHolxEZFHgUc90bcn6NGjB9deey3vv/8+jzzySL5fsvkF39onQLM/vvnmG5YvX87NN9/MQw895BSLUlpcbbhY3MBce/r168fYsWNZuXIl48aNK5Vt9q+ztOIlKyuLAwcO2ITK4cOHMZlMiAgNGjSgT58+NG/enGbNmhES4nqwMhgMjBo1ivnz5/PYY4/xwQcfAHBn+zoM6VivRHZpSsbVNr5oygcRAf/S/eCqaFwVHpeikruvwSywrBX3hA3liYjw1FNP8fDDD7N27Vqn4NSirBayPmeN7/j666/54Ycf6NWrFyNHjrRl5rWfRnKHiOnWrRuvvPIKycnJREVFsWXLFmrXrk3NmjWL3VaDBg1o3rw5P/zwQ6mFC+S9VvaZbAsjMzOT/fv324TKkSNHbOKnYcOG9O/fn+bNm9O0adMiTe2lpaVx1113sXr1al599VVefPFFm7j0ZMbfq5WrbXzRaMoKY8ky55Y5elVROXHPPffw/PPP8/777+cRLkUVLfb1v/zyS1asWMGtt97KyJEjnc63xn/Y54UpKfYbLvbt29dlQrri0K9fP6ZPn05qairh4a723CoervYTcryOGRkZ7Nu3zyZUjh49ilIKX19fGjVqxB133EHz5s1p0qQJQUFBxer/7Nmz9O/fn23btjF79mzbVKD1+ms0Gk1FxaSFy9VNUFAQo0eP5vXXX+fQoUNcc801tueKk6H1888/Z+XKlfTu3ZsHH3zQKXgXsCWcs19WXVIB07lzZ3x9fdm0aRPXX389Bw4c4IEHSh5J379/f9555x1+/vln7rzzzhK3Y4+jeElLS8vjUTl+/DhKKfz8/GjcuDF33nknzZs3p3HjxgQGljy1+pEjR+jduzcJCQksXbqU22+/3WaHvV0ajUZTEbkqpopExC+3TV/ANzedr1Ep5TpL11XG448/zptvvsn06dN5//33i/XFppRiwYIFrFq1ir59+3L//ffnOd8qSuwFjH1ZSaeRQkNDadeuHZs2beKmm24CShbfYqVr165ERkayYsUKtwmXy5cvs2/fPvbs2cPevXs5efKkLTtxkyZNGDJkCM2bN6dRo0bFTn6XH9u2baNfv34YDAbWrFnD9ddfb3tO7yBdNujxRaMpX64Wj8tLWLaptjIC+D9gspv7qZDUrFmToUOHMnfuXF577TUiIhx3/naNUorPPvuM1atXuxQt9uQnYKyxMSWZRurWrRuzZs3ijz/+ACjVVJG/vz+33XYbq1atKvGuzykpKbalyfHx8Zw6ZdlYNDAwkMaNG9OlSxe3CxV7rN6i6Oho1q1bR7NmzWzP6diWMkWPL5UcpQygskDCtPD3ArxVuOhNFssB+9e3detWOnXqxH/+8x+nVPr5nTtv3jz+97//0b9/f+67775i3dD2AsZ+dZKjsCnIC/PNN98wdOhQbrrpJo4fP87hw4eL3L8rFixYwMiRI/nzzz/zF0G7FsGaKZByiot+NYivey/xhlrEx8eTmJgIWKbfmjRpQosWLWjRogUNGjSwbaHg+JrdxZdffsnIkSNp1qwZP/74o1P2Xet1Lcn+UBUdvcmipqQolYX58quozKWACXxr4xPxKj6BrjYU1pSEkmyy2H7lv5zKt/X7t8fvcy1cyhhX8Q7dunUjKSmJAwcOFPgFp5Ri7ty5/PTTTwwYMIB77723VHv0uPoyt3pgIH8Bk5iYSO3atYmKiqJ379589dVXJbLByrlz56hZsyaTJk1i0qRJTs9fWD+HvQsmEJ+USfw5M0npZhBfghteT9Pr+9iESlxcXL7XryzEy7vvvsv48ePp0aMHS5cuJSoqyqmOdRn11ehx0cJFU1JMlx5HZa8n70aGQfhW/Rbxb5bfaZpiUBLh0uaHl5zKdw54zeP3uQ7OLSMKWi00btw4hg0bxooVK/LNQKuU4tNPP+Xnn3/mjjvuYPjw4aX68rVPZmcVMfbTRQVNI9WqVYt69epx4sSJUsW3WImJiaFz586sXLmSSZMmce7cOdu0T3x8PGc3zEPlpJOcqWgR48OI1v60iPGlfr2z+Ix/vkh9FGW1UVExm80899xzvPPOO9x1110sWLDA5eojewGo0WiKhjIluRAtADmY02fhG1W6TNuakmM2e9XvEBtauLiZoixvHjx4MHXr1uW9995zKVyUUnzyySesXbuWgQMHMmzYMLdNd1j3Q3IlYHx9ffNs8mgfzHvNNddw4sSJUsW3WF/bmTNnaNasGXPnzuWRRx4hIyMDgLCwMOLi4sjxyeTn02YOX1TUjfSlfxN/y8mpCcV+rdY+SypecnJyeOihh/jyyy958sknee+99wr08uh5eY2mmJgSQAJc7L5sRhkPecQkjQVvjXHRwsWNFDUni5+fH0888QQTJ05k165dXHvttXnamD17Nr/88gt33nknd999d5l8GeYnYETEFidi74WxJmKrUqVKsfpRSnH69GmbNyU+Pp6LFy9y6dIlwJIMbuTIkfj4+PDdd9/x5ptvkp5uoHMtH164I5Dhrew+opHFz/JeGvGSmprK4MGD+fnnn3njjTd4/vnnC816rIWLRlNM/BqCynH1BOLfrtzN0VyhpB4XEYkG5gC3AeeBF5RSX+ZTtyEwHeiBxe32qVLquYLa18LFDRQ3iRzAP/7xD/7v//6P6dOn88knn9jamTVrFuvWrWPw4MHcddddZf5FWJCA8fX1tXlhLl++DFiCi1u1apXvdIhSioSEhDxCJTk5GYCoqCiaN29uS59//fXXc+TIEf7973+zYcMGgoKCuOeeexhza2PaH/oPxuxM/Kzd+AfDLc7xMEV9jdb3qKgC48yZM/Tr14+dO3cyd+7cPIn+XGGdYtPCRaMpHuJTBQkZisr4Fsi0loIE4RP6D0+a5vUolQM5f1qEX0BnxCes8JOKgbnkoSwfAjlALNAWWCEiO5VSe+wriUgA8FNu/WGACWhSWONauJSCkggWK9HR0TzwwAPMmzePN954g6pVqzJr1ix+/fVXhgwZwl133eVucwvElYCBK0up9+/fj7+/P7/99hsjRoywTSOJCAkJCXliVKwiJzo6mpYtW9K8eXNatGhBjRo1EBFOnTrF7NmzuXTpEgkJCTRs2JBp06YxcuRIqlatCoB5Rxz8/CqSlmDxtNwyCa4dWuLXZ43jsVLQtM7Bgwfp06cPSUlJLF++nH79+hXYdqX0ttit6nLH9ddoCsIn/GXMvvVQ6XNBpSD+nfCJmIj46b0080PlbEFdegzIHdeUERUxBZ+QQe7rowQeFxEJBYYArZRSacBGEVkO3A9MdKg+EkhUStkHMu0qtA9PR9xX1Kj/0ogWK3v37qVly5ZMmTKFatWqsX79eu666y6GDBniLjNLjP1mjidOnKBhw4a0aNECEeGHH37g77//Zu/evezfv5/09HTAEnRrFSnNmzenevXqeaZqfvnlF2bMmMGyZcswm8106NCBLVu28NNPPznt32TN+Ovv7+/W12UVL1a7HN+7zZs3079/f8xmMytWrKBz585FarNSLYHetQi+HwuGzCtl/sFw+/QCxYteVaTRlA9KZaLOdgOV5vBMEFJtKeLX0OmckqwqavjVa07lR4a/VGA7ItIO+E0pFWxX9izQQyl1u0PdTwF/oBrQCfgb+KdSandBtmmPSzFxh2Cx0qJFC2699Vbefvtt+vTpw7Bhwxg8eHBpTXQL1mkPo9HIihUrAEvw7F9//cX48eMJCAigevXqdOjQwbYhYUxMjNOS6suXLzN//nxmzpxJfHw8VatWZfz48YwePZqYmBhiYmJYtWqVy40ny8KDYfW8WNu372f16tUMGTKEmJgYVq9eTZMmhXosy9TW8sJkMnHu3DmSkpJITExk14f/ZOfxixy4YOb6ur580C/YImLWTNFeF43GG8j6BXAlyI2ozKVI+DNu6SY/j4uIbLF7OCt3Y1MrYUCKwykpgKvN6eoANwF3AGuAccAyEWmmlMvAJ0ALl2Lh7ikBk8nENddcw08//UTt2rW9QrSYTCaOHTvG3r17bR4Va8Zca7K1Tp06MWrUKKpVq2Y7Tyll85KYzWb27t3LRx99xOeff056ejrXXXcdc+fOZdiwYXmWEvfo0YMVK1bw9ttv57GjLLPPuhIvn3/+OQ8//DCtWrVi5cqVRd792luXQCuluHz5MklJSbbj9OnTTo8TEhK4ePEi+XklfOw/6imnysd4jUZTMCodlNnFE0YwO2qGUnSTj3BRShW0vDQNcEwLHwGkuqibCWxUSq0CEJG3sWTIbg7szK8DLVyKgDu9LFZMJhMzZszg0qVL1KpVi40bN3rkl7vRaOTIkSO2FPoHDhwgKysLsAiVrl272lY+ffHFF0RGRpKSkkKVKlXyxLlYtxRYvHgxM2fOtAXbDh06lDFjxnDddde57L9///489dRTHDp0iEaNGgHlEzNin7vmnXfe4fnnn+fmm29myZIlRd6KAcrf25KVlcWZM2fyCJD8Duv7aI+Pj49thVhmZqZNePn7+9OwYUNatmxJp+yN3Fg9lY61/QjwtXttJVjVpdFoyoDArthiW+yRECToFufyElKSGBfgAOAnIo2VUgdzy9oAe1zU3QV0K24HWrgUQFkIFrCIlg8++IA//viD++67jxtuuIEnn3ySP/74I89mfWWBwWDg8OHDtkDaAwcOkJ1tyZ9Qp04dbrjhBlq0aEGzZs2IiorCbDbz7LPPMnz4cEJCQmjXrh2//fYbPj4+tkDehIQE5syZw+zZs0lKSqJhw4a89dZbPPjgg1SpUgWlFAaDwWVm3n79+vHUU0+xcuVKxo4dm8fW8hAE48eP5/3332fYsGHMmzfPZWK5/HCXwDKZTFy4cCFfz4j9YV2h5Ui1atWoUaMGNWrUoEuXLvj6+pKZmWkLgD569CgGg8G2P1S7du3o0KED7du3p3379jRp0sQWoyO7v3Ed41LCVV0ajca9iG9tVOgjkD4XyAIUSAgEdIaA7u7rqAQha0qpdBFZDEwRkVFYVhUNBFzt3/A5MF5EegG/AGOxLJ+OL6gPLVzyobxEy4ABA0hLS+PFF1/k/fffd7twMRgMHDx4MI9QMRgMANSrV4+ePXvahIorT8OhQ4dISUmxZczt1q0bH330ETk5Ofz222/MmDGDpUuXYjab6du3L4899hj9+vXLM3XimBPGuoJJRLjmmmto1qwZK1assAmX8vC4ZGdn8+CDD/L1118zbtw43n77bduqqqL2W9ASaKUUqampRfKMnD17FpPJ5NRGSEgINWvWpEaNGrRq1YpevXrZxIn1CA8Pt8Sl7NrFtm3b2LZtG7/88outvejoaNq3b8+gQYNsIuWaa65xen+siMiVOBa9qkij8Vp8wp9CBXZFZXwDKgsJHgCBvRBx47S1q9moojEG+BQ4C1wAHldK7RGResBeoIVS6oRSar+IjAA+AqoD24A7CopvAS1cnCgrwQIW0TJ9+nT++usvRowYQf/+/QFL0OuoUaN47733OHnyJHXr1i1xH9nZ2Rw8eNC2PPnQoUMYjUZEhPr169OrVy+bUAkLK3zN/+bNmwFswqV9+/ZkZWXRvHlzjh07RnR0NM888wyPPvooDRo0sK1Est/52TEnjNlsttnk4+NDv379+OCDD0hNTSU8PDzfeAt3cfnyZe68807Wrl3LtGnTeOYZSyCb1eaCxEtOTg5nzpwhMTGR06dPc+bMmXynbjIzM53O9/PzIzY2lho1alCrVi3at2/vJEash+P7k5yczPbt29m2bRtr165l27Zt7N+/33a9rMHSAwcOtImUevXqFZo0D1x81q8dqoWKRuPlSMB1SIDraXh3UMKpIpRSF4FBLspPYAnetS9bDCwuTvtauORSloIFLLEk06dPZ/PmzTzwwAP07ds3z/NPPvkk//nPf5gxYwZvvPFGkdvNysriwIEDNqFy+PBh20Z/DRo0oHfv3jahEhISUmy7N2/eTHBwMGazmTFjxjB//nzb65k7dy5Dhw61xUxYsQa+utpw0HFvJJPJRO/evXn33Xf5+eefufPOO8s0buT06dP07duXPXv2sGDBAkaMGIHZbOb8+fOcPn2a06dPc/bsWZKSklwKkosXL7pst2rVqjbB0bVr13zFSHR0dJECec+dO8emTZtsXpRt27Zx5MgR2/N169alffv23HPPPTaRUrNmzSJft7L+vGs0mkqAl+5VpPO4UD6i5f3332fLli08+OCD9OnTx2W9IUOGsG7dOk6ePJmvyMjMzGT//v02oXL06FFbkGzDhg1teVSaNm3qJCiKi8FgoHXr1pw+fZrU1FQCAwMZPnw4//vf/+jcuTOLFxcskh13pHb1ha2UIjs7m5o1azJ48GA+/vhjTCYTfn5+pc6L4jhVs3PnTj744APS09Np3749RqPRJlBcTdUEBwfbpmocj5iYGGrXrk3NmjWpXr06AQEBJbLRuiWCvUDZtm0bJ0+etNVp2LChTZx06NCBdu3aERMTU+L+rLj7s67zuGg03ktJ8rjU//gtp/Ljo5/z+H1+VXtcyuNXp9Fo5L333mPr1q089NBD3HbbbfnWHTduHIsXL+bzzz/n0UcfBSAjI4N9+/blESrWZGfXXHMNt99+O82bN6dJkybFCiwtiISEBGbPns2sWbM4ffo0kZGRTJ06lYcffpiqVavywAMPsHr16kI9I1ah4uiBsY8LERGCgoK49dZbbW3aiwjHYN6cnBybR6Sww5oYz5GYmBiMRiM1atSgbdu2eQRJbGysbSonPDzcZQxLSRPOWZP5bd26NY9IOXPmjO1aNG3alBtuuMEmVNq2bVvs/aEK6t/aj0aj0RSKl3pcrlrhUh6DuMFg4L333mPbtm08/PDD3HrrrQXWv+GGG2jdujVvvvkmgYGB7Nu3j+PHj6OUws/Pj8aNG3PnnXfSvHlzGjduTGBgoNtsVUqxbt06Zs6cyZIlSzCbzXTr1o3Tp0/z3//+l/vvv99Wt1u3bixYsIDDhw/bljAXhKOAsd8PybqMukePHnz77bfMnj2b4OBgzp49a5uqsY8juXDhgss+qlSpYhMf1113HTVq1LB5S44fP87rr79ObGws//vf/wpNLGe/IaP1sf3npChTWWazmcOHDzt5UqxTTb6+vrRo0YI+ffrYPClt2rQpUtxRcdHTQhqNpkSUPDi3TLnqhEt5DeIGg4F3332XHTt28Mgjj9CrVy+X9S5fvpzHoxISEsLu3bv5/PPP6dGjB0OGDKF58+Y0atSoxNMRBXH58mUWLFjAzJkz2bt3L9HR0Tz99NOMHj2adevWsWHDBqe09927W5bbbdq0qUDhkp6e7tITYl3ue+bMGVuAq9FoBOCJJ56wnR8UFETNmjWJjY2lUaNGdO/enZo1azpN38TGxuYr4ubOncvkyZNp06YNK1euJDY2ttBr4rijtH2GXVeC12QysX///jyelO3bt5Oaasm3FBAQQOvWrRkyZIjNk9K6detST+UVhhYsGo2mNIj2uHiW8hzE7UXLqFGj8qSzT0lJsSV7i4+P59QpSzbSwMBAmjRpwjPPPMPjjz+Ov78/L730UpnZuGfPHmbMmMGCBQtIS0ujY8eOfPrppwwbNsz2hfr2228TGRmZR5wYDAYiIiIIDw9n4cKFtjgRV0damuM+GhbvS/Xq1fMs842NjaVmzZp8+OGH+Pn58c0331C3bl3bVA1gC+a13/zRcRrJHqUUb7zxBi+++CK33nor3333HeHhrjJOuyY/8ZKVlUV8fDw7duywiZQdO3bYVhAFBwfTpk0b7r//fpsnpUWLFmUiOgtCixaNRlNqvDQ87KoQLuUtWt5++2127drFo48+Stu2bfntt99sQiUxMRGweBOaNGlC9+7dad68OQ0bNsTPz/J27N27l//7v//j4MGDNG7c2K22LVmyhJkzZ/Lrr7/agm0fe+wxGjduTFJSEr///rtNeCxZsoTg4GD69Olj85KcP3/e1t7q1atZvXo1AFFRUTYPSMeOHfNdVVOtWjWn2BDr8unk5GSmTJlCVFSUU04Zq1ApKCeMFZPJxLhx4/jwww+57777+PTTT0skHLKzs9m5cydbt25l+/btbN++nd27d5OTY0kxEB4eTrt27Rg9erTNk9K0aVPb++gJtGDRaDTuwls9LpV6VVF5D+I5OTm8+uqr/PHHH1x77bWYzWaSkpIAyy/xpk2b0qJFC1q0aEFcXFy+wZ1JSUnUq1eP0aNH89///rfE9mRkZJCUlMTu3btZuHAhP/74IykpKYSHh1OnTh0CAwNtGVutSekciYyMpHnz5k4CZMOGDXzxxRfs2LGDpk2buiUweMuWLVx33XV88sknjBw5Mt/kblasy6nhyqqlnJwc7r//fr799lueffZZpk6dWqTlx2lpaezcuTNPPMqePXts7VepUoV27drRrl07OnbsSPv27WnUqJFX7VHk6eBbvapIo/FeSrQ79DvvOJUfGT/e4/e5W38aikg0MAe4DUva3heUUl+6s4+iUJ6C5dy5c+zdu5ddu3axcOFCEhISaNSoEcnJyTRr1syW8K1+/fpF/pKrUaMGw4cPZ968ebz22mtERkbanjMajbadfPOLHbH+72qqBiwiKiAggNjYWNq0aePSM5KYmMgtt9zCnDlzGDJkiFMbzZo144svvuDkyZO0adOmZBfPAWsukh9//JEHH3zQKYjXEcecMBcuXGDIkCFs2LCBt99+m/Hjx7vsxz6Rm/Vwlcjt9ttvt3lS6tata0tQV9AUlSe4mrws3jLGaDRXBVdJcO6HQA4Qi2V/ghUislMp5WpzpTKhLAdxpRRnz561TfvEx8dz/vx5TCYTR44cwWw288QTTzBs2DDq1q1bZKGilCI5OTmPCKlWrRppaWn06tWL6OhoW/m5c+dcZpaNjIy0TcWEh4dz8eJF0tPTCQkJoU+fPjz44IN06tSJatWqFWkqY82aNcCVjLmOdOrUCX9/fzZt2sSAAQOK9DoLQ0To06cP3333HWazGT8/P6e4lvwEzOnTp+nTpw/79u1j/vz5DB8+HKPRyMWLF/PEo2zbto3Dhw/bzq1Tpw7t27dn+PDhNpFSq1Ytl0ugrQLK054NK1eTYLHD42OMRnO1UOmnikQkFLgEtFJKHcgtWwAkKKUmFnCeW1y5ZTGIW5ODWUVKfHy8bTlrREQEzZs355prrmH9+vUkJCQwZswY24obsCSLc5V91dUmeta4CXus0x9WT4T9El/HVTVHjhxh5syZzJ8/n7S0NDp06MCYMWMYPnx4iVavPPTQQ6xcuZKkpKR8r2eXLl0ICAhg/fr1xW7fFdbdpYcOHcratWvp2bMncCVANj8BEx8fT58+fTh//jwvvPACZrPZFpeSXyK39u3b065dO6pXr14k2+xz0NgLF08JBm8ULWU9VVSSMUZPFWk0FkoyVdTojXedyg+98EylmipqApisA0ouO4EejhVF5FHgUXd17K5fwEopEhIS8ggV6268UVFRtkRv1atXR0Q4efIkn376KUePHqVx48Z88MEHvPTSSzYxkpKS4tSHiBATE2MTHc2aNcs3kHXNmjXcfffd/Otf/2LQoEFObRkMBpYuXcqMGTNswbbDhg1jzJgxdOrUqVTXY/PmzXTs2LHANrp168aHH35Idna2W3LKKKW4+eabCQgIYMWKFTbhYi8YrAnqTpw4wY4dO/j+++/54osvMJlMmM1mXn75ZUTEFvjcrl072rZtS5s2bahSpUqJpnochYr1sSc8L94oWMqRIo0x7h5fNJqrFfHSqSJ3elxuAL5RStWwK/sHcJ9SqmcB55X4F1FpB3GlFKdOnWLPnj1s376dHTt2cP78ebKyshARgoODbQGfly5dsk3VmM3O72Z4eHi+6eEdU8UXddWJ0WjkmmuuoUGDBqxbt85WnpiYmCezbf369Xnsscd45JFHqFatWrGvgyNpaWlERkby8ssvM3ny5HzrLV68mCFDhvDbb7+5ZVdray6Xfv36kZCQwJ49ezCbzRw5coRt27blyZNiv2dQQEAAAwYMoEePHrRv3542bdo4LX22X40EV7xZRZnOc7Xnkn079n/LioogWMrB41LsMaag8eV84kVWz/2FcyfP06ZnK7oPvg7/AP+yMF2j8Tgl8bg0ftXZ43Lw5crlcUkDIhzKIoDUUre8axGsmQIppyCyDurml2071xY0iGdlZeWZqjl9+jT79+/nwIEDnDhxgrNnz5Kenk5WVpbLvWr8/f1tgqNevXq2jKzR0dH8/vvvXLp0iUcffZS+ffsSGhpa6pfpiJ+fH08++STPPfcc27dv5/Lly8yYMYMlS5ZgNBrp06cPH3/8MX379i31vj72bNu2DbPZnG98i5Vu3boBlkR07hAuJpOJAwcOEBsby08//USXLl2Ij4/n8uXLgOX9aN26NYMHDyYzM5MvvviC9u3bs2LFCmJiYgr0pFiXTdvvUG0ymWz7POV3bn5eFWtQsGOCurKgIoiWcsJtY8yu9Xt5sf+/MRnNGLINrPlyIwvfWMz7m14jOKxsEwNqNBUF8dJZVncKlwOAn4g0VkodzC1rA5QuaG7XIvh+LBgsCb6MF49zYeGTJB04zpnIti7jRayHdZrHkcDAQMLCwqhevTpt27alcePGNGzY0Mk7UqVKFacviszMTKZOnYqfnx9TpkyhS5cupXp5hTFs2DBefPFFbr75ZlJSUqhSpQrjxo1j9OjRRUq3XxI2b94M5B+YayU2NpZrrrmGTZs28eyzzxarD4PBwN69e/N4UuwTuQGcOXOGESNG2GJSWrZsib+/P6+99hqTJk2ib9++LFq0iNDQUJtHBfLf0NFKcXLCFDQdVNbiRQsWJ9wyxpjNZt64732y0rNtZVlpWZzcn8jothPwC/Cj3c2tGD7xTmLqVHWf9RpNBcNbp4rcJlyUUukishiYIiKjsET8DwS6lqrhNVPAkMnNn6URf87M2XQwkwY8n6daUEgodWrVJCoqiujoaKpUqUJ2dja+vr4EBwdTu3Zt2rZty3XXXUfr1q2pWrX4A1JmZiZvvvkmhw8fZty4cVx33XWlemkFsXfvXluwrcFgICUlhXfffZdHH300352j3cWWLVuoV69ekQJXu3fvzsqVKwv80s7KymL37t15Vvbs2rXLFpAcFhZG27ZteeSRR+jQoQMdO3bkrrvuIi4ujg8//NDWjslkYsyYMXz00Uc8+OCDzJ49G39/i2vfPgbGfkPHggSMVajYL6k2Go2286xtFiaCykK8aNHijLvGmISDp0lLdt6A05hj5PQRy4aXiYeS+OWrTXy0fRrV65Z++lWjqZCUULiUJG2BiKwFbgL8lVLGguq6ezn0GOBT4CxwAXi81MsUUywp8ZtW9eGaKr7UCBNqhPlQPcyHx7P/ifgHgSETST1LvbAMqodavmRq1apF8+bNadGiBc2aNSM6OrpUZmRkZPDmm29y5MgRxo4dWyaixWAwsGzZMmbMmMG6desICAhg2LBh9OvXj+HDh5OamlrmogWuBOYWhW7duvHZZ59x8OBBmjRpQnp6ep5Eblu3bmXv3r22+JUqVarQvn17xo0bZ/OkWD1HJpMJPz8/RIT+/fszY8YM0tLSCAsLIzMzk3vvvZelS5cyceJE/v3vfzt9oduv8nHckbooAsZxGsnqhSksDsad4kULlkIp9RjjH+iP2VywD9xkNJFxOZMvX/+Opz4aXWJjNZqKTCk8LsVKWyAi91EMPeJW4aKUuggMcmebRNaBlJPMHJD3C/ukqSoXXnuLK5spCL/4+VMlIozo6GhiYmI4dOgQf/31FxEREbb9dRz/OpZZf8Hbk5GRwRtvvMHRo0d56qmnivylXlROnz7NrFmzmD17NomJidSvX5833niDhx9+mJiYGADmzZvHjBkzeP7558t035uLFy9y+PBhRo0aVWjdlJQU2/V68MEHSUlJYd++fbYv35iYGDp06MCAAQNsIiUuLs7lF7J9BlyAAQMG8N5777F27Vq6d+/OHXfcwW+//cb777/P2LFjC7XNcUfqoggY63nWaSSDwYBSKo8XJr/zSytetGApGu4YY2rEVad2oxoc+/uky5xIVkxGE9t+3l2arjSaCk1JhEtu2oIhWNIWpAEbRWQ5cD/glLZARCKBV4AHgN+L0of371V0y6Q8MS4AGSqAaaZhBNZfhSkjBWXMRmVnoLIzuHjxIhcvXuTQoUO2+vZLWAsjMDAwj5AJCQnh7NmzGAwG2rdvz1dffcWKFSvyFUL2gqgggaGUYv369cycOZPFixfbgm1nzpxJv379nIJtx40bZ4vpGDFiRDEvYtHZsmUL4Bzfcv78+TzZZrdu3ZonkduuXbvo1asXw4YNKzCRW344ftF369aN8PBwvv76a1544QUOHTrEV199xdChQ4v1ekoqYADbNJI1FsbqhclPwJRUvGjRUv688t2zPNPjFbLSsjAaTeRkOudRAqhaq0o5W6bReA/5CRcR2WL3cJZSapbd4yKnRsnl38BMIKnIdnk6OVORlkM7rCqanD6EeWlXpmos5ytqRwbz07jrOXnyJMeOHbMdx48f5+jRoxw7dowzZ87kadrX15fo6GiioqIIDw+3pcP39fXFaDRy+PBh0tLSCA0NxWAwcPny5TwBpAVhL4KsoiY4OJgLFy5w9OhRLl68SFBQEF26dOHWW2+lUaNG+XqD/Pz8aNmyJWFhYfz1119l9gX3+uuv89JLL/HVV19x4MABm1A5ceKErU6DBg3yJHJ75513OHXqFPHx8SXu1+rVsBdsvXv3Zs2aNYSEhLBs2TJuuummUr02uCJg4MrUUn4eIEeBYxU+9onwHFcj2SfKK2ypdGUTLGW9HLokFDS+GA1GtqzeyYXEi6z9ciPxfx7EkH1lz67AkEBe/vppOvfvUF7majRlRkmWQ7d4znk59N63Cl4OXZy0BSLSEfgE6AjUAY5ShBiXiiFcHFi6PYEXFu8m03BlCXOwvy//vrMVA9vWsrbr8ssgMzOTEydO2ASNvcA5duwYp0+fdrSPGjVq0LRpU+Li4oiLi6Nu3bpUr16dKlWqEBYWRkZGBqmpqVy+fDnfv4mJiRw4cICkpCRbOntrjpiiEBgYiL+/P2lpaTRq1IiaNWsWaerL1V+rJ0gpxcmTJ/Os7FmzZg3Z2VdWWzRp0oT27dvToUMH2rdvT9u2bZ3ihd58801eeOEFzp07V+I8MgaDwebhANi4cSO33XYbmZmZfPXVVwwbNqxE7eZHQQLG6mEpaIl0QTlhiiJevGXbAHdS0YSLPemXM/j3ve+xY+3f+AX4YTaZeej1exg8tn85WKnRlD0lES6txjsLl7/fKVS4tAM2KaVC7MrGAz2VUrfblfkAfwATlFK/ikgcRRQu3j9V5IJB7WoDMG31fhKTM6kVFcyE3k1t5farSxwFjHWX5qZNm7psOysri3379vHmm29y/PhxWrZsSWZmJseOHeOnn34iMTExzy9lX19f6tSpYxM1cXFx1K9fn2uvvZbatWuzfft2Zs2axa+//kpAQAAjRozg8ccfp3PnzogIRqORtLS0AkVPamoqqampXLhwgfnz55Oeno6vry9JSUkcPHjQVicjI6NI188qEKxTH1YiIyMxGo1Ur16d/v3706hRI6pXr24TPQEBAZw8edK2w7S1zJrP5bfffuOOO+4o3ptJXs8DwNKlS7nnnnuoXbs2R48ezTPt5y7sRYb99I79tGJpc8LYvy776SP7djTeQWhECK//8C8unL7EpTPJ1G1ai8Dg0meD1mgqNCULzi1q2oIILJ6Wr3PHQqu7/ZSI3K2U2pBfBxXS41JUHH/5FuWLIi0tjddee43ExETGjx/vtPNxdna2y6ko6/8JCQlOX8S+vr7UrVuXTp060axZszwip06dOsUKtn3uued49913OXLkCPXq1cvznFUEXbp0id27d7N9+3Z27drFvn37OHr0qG2Ky8fHh+joaCIjIwkJCcHf3x+z2czly5c5cuQIAQEBRfYEBQQEEB4ezoULF4iJiaFp06bF9gKFhoYSGhpKSEgIH3/8MU888QSdOnXihx9+YMCAAfj6+rJp06YiX6OSYC9glFJ5vD/FOd8qBO29NY5iqLIKlorscdFoKjsl8bi0fsrZ47L7vcIz54rIV1hWzljTFqwEutqvKhLLQBhrd1pd4C8sU0bnlFL5fglVauFipagCJjU1lddff53ExESeffZZrr322mL1sWHDBj744AOWLl2K0WikZcuWtGzZEj8/P9v0VEJCQh4vh4hQu3btPGLG6rWxTkvZ7wN0/PhxGjZsyLPPPsvUqVPzJHKzHjt27LB5X4KCgmjTpk2emJSWLVu63Fto+fLlDBw4kI0bN9K5c2fS0tIK9QJZ///mm28wm81ce+21TnWL4wkymUwEBwdzzTXXEBUVRVJSEocPH+bee+8lNja20IBo6/8l3TvJ6jmxJqIrrtBwFDD2rw20cClvtHDRlBVKKf7euI/flm8mOCyIW+67gdqNanrarHwpiXC5dqyzcNk1vUjCJRpL2oJbsaQtmKiU+lJE6gF7gRZKqRMO58RRmWNcSoqjYLD/Arl8+TKvvfYaSUlJTJgwgdatWxepzdTUVD7//HNmzpzJ33//TVRUFA899BCPPfYYjRs3dqpvMBg4deqUU2yN1XNz8uRJJztr1aplEzHBwcGsWbOGxMREmjRpwuHDh20xKaGhobRr184Wj9K+fXuaNWtW5L2RXn75Zd544w0uX75c7Hwxzz77LB988AEpKSlOosHqCXIUO9a/Fy5c4Msvv2Tbtm00a9aMdu3akZ6ezuXLl0lKSmLfvn22aaz0dOfEYa6weoKKsvrLcRVZZGQkERERhIWFER4eTlBQUIkEh3Uqzvp+Wr04IsKyHYn5TnVWVLRw0VwtKKV484H/8tvSv8jOyMbHzxc/P1/+OWMUvR8s/SKCsqAkwqXNk87CZecHlWuvIq/HurTVMQYmNTWV1157jTNnzvDcc8/RqlWrQtuKj49n5syZfPbZZ6SmptKuXTtmz57NPffcU+CXvr+/Pw0aNKBBgwYunzcYDLYdqjdu3Mj27ds5ePAgO3bscJou2bt3L2DZuTouLo5mzZrRoEED4uLiqFGjBv7+/hiNxiILly1bttCyZcsSJbnr3r0777zzDlu3bqVr17yJTP38/IiKiiIqKsrpvIyMDIYOHcq2bdt46aWXmDJlSh6BYDabqVOnDjfeeCNfffUVJpOpyDFBjmVnz57l8OHDtsdFFUH+/v5OAqcogig8PJzIyEjCwsIICQkhNDSUoKAglu9I5MVle8g25e5InpzJC4st+UIqunjRaK4GNv+4g9+W/mXbNsJkMGEymJj++Cd0G3gdYVHu37vOE1T6lP8VBfsATKUUycnJvP7665w7d47nnnuOli1b5nuu0Wi0Zbb95ZdfCAgIYOjQoTz++ON06dKlxFMAKSkp7NixI890z759+2y/1GNiYujevTsdOnSgTZs21KxZk0ceeYS0tDRGjx5ti7H5888/+fbbb21Zaq3UqFHD5TSU9f/g4GCUUmzevJmBAweW6DVYxcqmTZuchEt+XLhwgdtvv53ff/+d//73vzz55JNOdXx8fOjbty9LlizBYDDg7+9PZGQkkZGRJbLTHkcRlJycbBM0jqInJSUlz+MzZ85w+PBhW1lRRZCvry9m30DL1KXJQNTNo4jsMIBMg4lpq/dr4aLRVADWfb0pz15XVvz8fdn60y563F36TWe9AS1cvAwRISUlhddee43z588zYcIEWrRo4bLu6dOnmT17NrNnzyYhIYF69erx+uuv88gjjxRpPx97Lly4kEegbNu2Lc+qmdq1a9O+fXvuvvtu23RP7dq1nUTRyy+/zAMPPMD111/PK6+8Yis3mUwkJia6nIbavHkz3333HQaDIU9bsbGx1KhRgwsXLnDq1ClmzpyZR9gUxQNTvXp1GjduzMaNG5kwYUKh9Y8fP06fPn04cuQIX3/9NXfddVe+dQcMGMC8efP47bff6NEjvxxGxcfX19cmggpbAm3F3lsHV4JwHafDHEVPfHw8W7ZsYffu3Zy/cBGUgqAwxPfKLZiYXLT8QBqNxrP4Bfjlm9jUz9/XxRkVFC8VLldVjIs9ycnJvPrqq1y4cIHnn3+eZs2aOS2D3bhxIzNmzOC7777DaDRy2223MWbMGPr37++U2dYVSUlJTiLl+PHjtufj4uLy5Ehp164dsbGxBbR4hezsbOrXr0/79u1ZuXJlkV+3yWTi9OnTTiui/vzzT3bv3o2fn5+TxyYmJibf4OH69esTFhYGwEMPPcQPP/zA2bNnC/zy3717N3369CE9PZ2lS5fSrVs32x5FrkhNTSUmJoZx48YxderUIr/W4mBdUVSU9xVwmnK0ChjrazCbzWzevJlly5axbNkyTpw4ga+vLz169OBvv8Zk12yDb2je3cdrRwWzaeLNZfL6ygMd46K5Wvh70z4m9n6N7Iy8XpfgsCAWJX1CUIj3LaUvSYxL+1HOMS7bPvF8jMtVKVzsRcvEiRNp1qyZ7bnU1FQWLFjAxx9/zO7du23BtqNHj6ZJkyYu27NP5GZ/2CezsyZysx7t2rUr9caPU6ZM4ZVXXmHfvn355qUpKhMmTGD69OmkpKRw4cIFl8n5rELHcal0tWrViIuLQynF1q1beemll+jcubNN2ISHh9vq/vrrrwwcOJCwsDBWrVpFy5YtMZlMLveIsufWW28lKSmJ3bvdv3dMUb0trs6z976YTCb++OMPli9fzvLlyzl9+jQBAQHcdNNN3HnnnfTr148qVaqwdHsCE7/bRabBCFjETrC/L28Mbl2hp4q0cNFcTcyd9BXfvr0cRPD19cFsVkxePIGOt7Up/GQPUBLh0uHhd5zKt3463uP3+VUnXC5evMhrr73GpUuXmDhxou0LPz4+no8++ojPPvuMy5cv07ZtWx577DHuuecewsLC8mRVPXLkiJNIOX/+PGCZOmjevLlNoFjjUiIiItz+Ws6cOUO9evUYNWoUH374Yanauummm0hPT+evv/4qsJ7ZbObMmTMuBc3+/fs5duyY0znR0dHExcXh7+/P5s2biYmJ4d///jcdO3akbt26ti0NCuK9995j/PjxHDp0KN/A5pJSXG8LXEmaZzQaWb9+PUuXLuX777/n/PnzBAcH06tXL+6880769Onj8r1fuj2Bt37cR2JyBrWiQniuT7MKLVpACxfN1cfpI2fY/OMOgkID6TaoE6GR3huUWxLh0nGks3DZMk8Ll3IdWC5evMirr75KSkoKEydOpGHDhixfvpwZM2awdu1aAgICuPvuuxkzZgxdunTBbDZz4MABtmzZwvbt221HSkoKYFlt0qpVqzyelGuvvbZEq3JKykMPPcQ333zDqVOnXK7aKQpms5moqCjuv//+UgkgpRQxMTHcdtttjB07No/XZv369ezdu9e2EaE9UVFRttVQjsHDcXFxREZGcuDAAZo3b8706dN54oknSmyjK4qz8aJSiuzsbH755ReWLVvGihUrSE5OJjQ0lD59+jBw4EBuvfVWgoODAQpt137bgIqe30ULF43GeymJcOn0gLNw2Tzf88LlqgnOvXDhAq+++iqXL19m1KhRfP3118yaNYuEhATq1q3L//3f/9G9e3eOHz/OwoULmTBhAjt27LCtFgkMDKRNmzYMHz6c9u3b07Fjx3wTuZUn48aNY968ecyZM4fx48eXqI39+/eTmprqtCN0cRERunbtytatW+nSpQtdunRBKcVLL73E3r17ueOOO1i4cCFpaWk2QXP48GGOHz/OiRMn2L9/P6tXr3ZKWGdd7h0SEsK0adMwGAx5hE1JBRuQJ9NtQaSnp/Pzzz+zbNkyVq1aRVpaGhEREfTv359BgwZx8803ExQUZKtvP41UkDBy3FFa450c2n6UzyYv4vCOo9RtWov7J91Nq+7NPW2WRlOmeOuqosrtccndVfr86RNM+d2Pw9THJ6oO//vf/zAYDDRv3py6dety4cIFdu/e7ZTIzd6TYk3k5rjXjDd82fTo0YPjx49z6NChIudssWf+/Pk8+OCD/P333wUuBy8KU6dOZeLEiZw9e5aoqChGjx7N3LlzefTRR/nwww/z2KeUwmg05kmvr5Ti/PnzLrdU+OOPP7hw4YJTnxEREfkGD8fFxVGlSpV836eCREVaWho//vgjS5Ys4aeffiIjI4OqVaty++23M3DgQHr06FGk7RocN3R01VdRBZQ3U1k9Lnv/OMBzvaaQk5mNtanA4ABeXvSM3jlaU2Eoicel871vO5X/+eWzHr/PK6/HZdci+H4sexNSuX9pFvvOm8kwXMLXZxfm3F/Ce/fuJSEhgfbt2/Pkk0/aYlIaNWqUb7yDfQ4Yx1VInuKpp55i8ODBLF++nMGDBxf7/M2bNxMaGponSLmkWDdcXLt2LfPnz2flypVMnjyZSZMmFWmHZBEhJiaGmJgYJw/QmjVruO2225g/fz5NmzZ1CiA+cuQIa9euJS0tLc954eHhLqeg6tevT7169fLsaJ2cnMzKlStZunSpbafs2NhYRowYwcCBA20roIqDVYxYBYwrsWT1vFiDhDXew8fjP3NaPZKdmcOH4+Zq4aKp1PgUmHjfc1Rej8t/WpFz8ThBr6VhbT0sADrXD+W6u8baPCkNGjQosfAo6h5IZY3JZKJRo0bUrVuX9evXF/v866+/Hn9//xKd60hWVhaRkZFER0dz9uxZZs6cyaOPPuqyrnVX5cJWFFnJyckhJiaGe+65h48++shlHaUUly5dyndF1NGjR0lNTc1zTkhICFWqVMFoNHLp0iWUUlSrVo1evXoxfPhwevfuXazA3cJw9MA4LqOGiul5qawel/4h95KTZXAq9/ERvk/7nICgom+SqtF4ipJ4XLre5exx+e1b7XEpO1JOEeDrw5DmfjSMEp64LoC6kT6I+MDkf7ulC8csvNY4hfIWML6+vvzzn/9k/PjxbN++nXbt2hX5XIPBwI4dOxgzZoxbbDl9+jQ+Pj6cOXOGJUuWFJiJt7hxHQEBAfTq1YtVq1ble66IEB0dTXR0NO3bt3fZZ3JyMn/99ReLFy9m/fr1HDlyhKSkJJuAMhgMnD59mgULFrBgwQJCQkLynYaKi4sjJiamWK/D0QNj/7nRnhfvI6p6JGdPnHcqDwwNxC+g8g6hGo2YvTOwvfLedZF1IOUk3wwNcS53M94gYB5++GEmTZrE+++/z7x584p83t9//01WVlapA3MBduzYQd++fVFK4efnR+/evQusX5JfwgMGDGDp0qXs2rWLNm2Kly/h5MmTtoRwf/zxB0opmjVrxksvvcQdd9xB69atbRmV88tj8/vvv3Pp0qU87QYHB7sUNNay2NhYl5+FggSMfW4ZjWcZ9vwgZk9YQJbddFFgSAB3ju2n3x9NgZw6eJofPlrN2RMX6HDrtdwy4kavTE6XH94anFt5hcstk+D7sWCwS6PuH2wpLyM8KWCioqIYOXIks2fPZurUqUXOwLt582aAUguXtWvXMmjQIKKionj77bf55z//yZYtW+jevXu+51gzzhaHvn37ArBy5coiCZcjR47YxMrWrVsBaN26Nf/6178YOHAgLVq0cIq1sW4ImV/7roSN9fFff/3FxYsX89QPCgpyGV9j/T82NhZfX1+bWLF+bpRSLN56knd+OlipdpGuaNz+2G2knLvM128tw8dHMBnN9BvViwcmD/W0aRov5s+V/9/evUc3VeULHP/utvRFBQQKbZMWmRmLReUxFAF5DDOCQIsGdcR1VZj6wlFUXEuQwXtV1C58oF58LWf5mhlZ6NK5SstLKYqjUlzYKgOMSMFVKTSlLaK2tKaPJPv+URLSJn2lKTkJv89a+YOTk3N2Dufs/Lr3b+/9NY/NfwZ7kwOH3UHRB7v5v2c38uKuxw0934sno7a4BCTHRSl1F5ADXAy8rbXO6cZne31UETXlLS0tlz0Eo85cZXOmc2AOHjzIiBEjWLlyZav1izpy22238d5773HixAm/y/fOO++wYMEC0tPT+fDDD4mJiWHIkCE88cQTLF++3OdnfI0o6qpLLrmE6OhoduzY4fP9AwcOuIMV10y748aNw2KxYLFY3LP8ep43kP83tbW17kDGV8tN25FRMTExrZZQcL3KGuN4fU8dzTH9iYiIMvwMu72Z4+JvHRPI+qXR1sjx8h8ZlDyAuIS4gBxThCeHw8F1KYuoOV7bant0bB+uWz6PhQ+f+aDXnxyXaXOf8tr+2ab7g57jEqjA5WpalmOaBcQZJnAxCM8J13o7gMnOzqa4uJgjR450aY6ZsWPHkpiYSEFBgV/ne+6557j33nuZOnUq+fn5nHvuuQCMGDGCESNGsGHDBp+fcwUuHa1R1J6VK1eSm5tLZWUlgwcPRmvNvn373MFKSUkJSikmTJiAxWLhyiuvJC0tzf15u93uzicJRkJ1XV2dz4DGte348eNen1F9B5J215uAcdc06uXAxa865myoX4TxfP+fIyy59L+x1TV4vZc20szr//nfM14mvwKXOd5rw332wfJOj6OUGgi8DlwO/ACs0Fq/5WO/PwH3AOcDtcBbwANa6w7HMwWkq0hr/f6pQmQCgU8iCXERERFei/L1VgBz7733cvnll/POO++wcOHCDve12Wzs27ev3VaRjjidTlasWMFTTz3FVVddxbp169yzxQJMmTKF/Pz8dvM0ejKUPCsri8cee4y//vWvNDY2kp+fz/fff09ERARTpkxh0aJFXHHFFSQnJ/sst+u8wRoFlpCQQEZGBoMGDSIpKYnU1FSGDx+O1WqloqICm81GfX092/aUnSqzg4jYBPfnz8ZVpKWOEaEkLiEWh93h8734c0Knta4HXUUvAU3AUGAMsFkptUdr/U2b/eKBe4FdQCKwAVgKPNHRwYOS46KUWgT4HiMbpnzlv7i2B9KMGTMYOXIka9asYcGCBR0e/9///jcOh6Pb+S3Nzc3ccsstrF27ljvuuIMXXnjBa7jw5MmTeeONNygpKSEjw3uGUX/+CnY6nezatYu8vDyUUjzyyCMkJCQwffp07rvvPrKzs1vNyeLrfK4uojOVVOl0OqmursZqtVJeXk55eTlWq5Vjx47R3Hx6iO2gQYMwmUxceOGFmEwmzGYzN7x1kMp67+y4lAGhU/EFw9lYvwhjSTpvCGkZZkr3HMbp8eMf2zcGy+LZQSxZ9/iTnKuU6gtcA1ykta4DdiilNgALgL947qu1ftnjn1al1Drg952dIyiBi9b6FeAVaGmOCkYZgqW3E3iVUtxzzz38+c9/ZseOHUydOrXdff1JzK2rq+OPf/wjW7duJTc3lwceeMBn2V0T0RUWFrYbuHTlO9vtdgoLC8nPz2fjxo1UVlYSExNDamoqP/zwA4cOHWo3WPE8l6feaGlxOBytAhSr1dpugGI2m7n44osxmUzul+dyAS5/mRvLivf3YWs+/ZdbXJ9Ils3q2Urg4e5srl+Ecax8fxlL/7CSmh9qUSiam+3MXPg7Lruh/TrZaJTD9+OjlCr2+Ocrp545l3TAobU+6LFtD/C7LpxyGtC2VcZLp4GLUupfHZywUGvd/rAR0a7eDGAWLFjAihUreO655zoMXIqLi0lOTsZk6lqiZ3V1NdnZ2ezevZvXXnuNW265pd1909PTGTx4MIWFhdx6661e73c0oqipqYlPP/2U/Px8Nm3axIkTJ4iPj2fmzJnMmzeP2bNns3XrVubPn8/+/fuZNm2az+O0XZ7Bs5vIX64AxTM4KS8v59ixY9jtp7tlBw8e3OUApT2uBNzVW0vCelSR1DEiHA0dlsg/Dr3Af3Yc4MdjP5ExMZ2hwxKDXaxuaa+rSGud2cHHEoCaNttqgHM6PJdSNwGZgPcPRhudBi5a6+md7SP81xsBTHx8PIsWLWL16tWUlZUxbNgwn/sVFRWRmdnR/XdaaWkps2bNwmq1kpeXx9y5czvc37XgYmFhodd7vrrJGhoa2L59u3vF5ZqaGhISEsjKysJisTBjxoxWq27PmDGDqKgotmzZ4hW4tA1YPLd39bo6HA6qqqpaBSeuFhTPACUxMRGTycSoUaMwm82YTCZSUlK6FaB0ZN5YU9gFKm1JHSPCVUREBKOmjQx2MfzmZ45LHdCvzbZ+wEkf+7acR6l5tOS1zNBae8/22EZAuoqUUlGnjhUJRCqlYgF7Z5nB4rRABzCLFy/m6aef5sUXX2T16tVe79fW1lJSUsL111/f6bG+/vpr5syZg91uZ/v27UycOLFLZZgyZQobNmygurqaIUOGeL1vs9nYtm2be8Xl+vp6BgwYwNy5c5k3bx7Tp09vNwDo378/U6ZMYcuWLTzxxOk8rvaClvam0vcMUFzBiasFxeE43UXjClBGjx7tzkFJTk4OWIAiOiZ1jBBnXntdRZ04CEQppc7XWh86tW007XQBKaVmA68C2VrrfV05QaByXP4H8Jw45EbgEWBlgI5/1ghUAJOamso111zDa6+9xsMPP0xCQkKr97/66iu01p3mt2zbto2rr76aQYMG8eGHH3ZrIUZXnsvOnTuZN28eACdPnmTz5s3k5eWxfft2bDYbgwcPZv78+VgsFqZNm9bltYvmzp3L0qVLKSsrazXc2de1stvtVFdXU1FR4ZWD0jZAMZvNjBkzplULSleGloteJXWMEGeaHy0uWut6pdT7wKNKqVtpGVVkAS5tu69S6g/AOuAqrfWXXT1HoIZDr0QqkIBy/fj2JIBZsmQJ7777Lm+++abXWkSuxNyOuorWrVtHTk4OI0eO5IMPPiAlJaVb32HcuHHExMTw0UcfUV9fz/r16/nkk09obGwkOTmZhQsXYrFYuPTSS/1axDArK4ulS5eyefNm7rjjDpRSOBwOKisrvXJQKioqcDqd7mvoClDGjh3rzj+RAMW4pI4R4sxTdr/n/L8TeAOoBk4Ad2itv1FKpQH7gZFa6yPAg0B/YIvHb9vnWus5HZYr2JMzyQRRnfMcPg1dXzlYa82ECROora1l//79rT43f/58iouLKS0t9fnZZ555hqVLlzJ9+nTy8vLo379/t8p8/PhxNm3axNKlS6mpqSEuLo60tDQsFgvZ2dmMHz+e6Gj/V9W12+1UVFQwefJkEhMTycnJwWq1UllZ6W5BUUoxZMgQdwJyamoqZrOZlJSUHp1b+NabE9D5S+oXIVr4MwHd5eO8Z2Av+OqRoD/n4btWURhp233k2XLQ2eeWLFnCjTfeSEFBAbNnn54/oKioyGc3kdPpZNmyZTz77LNce+21rF27tsutEBUVFWzYsIH8/Hx27tyJ0+kkLi4OrTVbt25l0qRJKKVobm7ucvBlt9uprKxslYNy9OhRqqqqcDgc9O3bl7179/Ldd99x3nnnMW7cuFYtKH369HFPghesCeeEECIk+Zfj0uskcAkh/uS/XHvttSxbtow1a9a4A5fjx49z+PBhr+6jpqYmcnJyePvtt7n77rtZs2ZNpwHGkSNHyMvLIz8/ny+/bOmizMjI4P7778disVBaWorFYsHhcLQqZ9syNzc3U1VV1SpB1mq1ugMU12dcXTyZmZmYzWZKS0vJyclh1qxZZGdne5UvEEOghRDibKScfncV9SoJXEJQdwKY6Oho7rzzTh588EG+/fZbMjIyKC5umTvIs8WltraWa665ho8++ojHH3+c5cuXt/tj/91337nXBdq9ezcAo0eP5qGHHsJisZCenu7e1zXtfmFhIVOnTqWpqYny8nIqKyupqKhw56FUVla2CjKGDh2KyWQiMzPT3YKSnJxMdHR0q3JlZmayePFiNm/e7DNw6c4QaCGEEB4kcBGB1tUA5vbbbyc3N5fnn3+el19+maKiIpRSjBs3DoDKykqysrLYu3cvf/vb38jJyWn1ea01Bw4ccLesfPNNy6i2zMxMcnNz3Ssue2pububYsWNYrVZMJhNr167lxIkT7hwU1yKHrgBl/Pjx7mHGSUlJ7hyU9oY3u8TExDBjxgy2bNniFaS0NwRaCCFE5/wcDt3rJHAJA50FMImJidxwww28+eabrFq1iuLiYi644ALOOeccDh06xKxZs6iqqmLjxo3MmdOSzK21Zs+ePe6WlUOHDqGUYtKkSTz55JNceeWVmM1md4DyxRdftFqPp7q62h04xMbGUlpaSnJyMpmZmaSkpDBs2DCSk5M7HPrcWdDikp2dTX5+Pvv27WPUqFGtPi+tLUII4SeHtLiIXtZRALNkyRLeeOMNXn31VYqKipg5cyZFRUVkZ2ejteaTTz4hMzOToqIi8vPzycvLo6ysjMjISKZOncqiRYsYP348jY2NWK1W/vnPf7pzUFwBhqsFJTU1lYkTJ7q7eAoKCrjtttuYPXu2uxspKqr9W6+rAYuLK9jasmWLO3DprUUshQg32lGBtm0E/Qsq5vfQZ7Q8N6KFQbuKZDh0mGo7hFopxahLplBSUkLzyRMMnXAFNXs/JmnoEFatWsXu3bvJz8/HarUSGRnJ2LFjueiii0hKSuLnn3/2ClCSkpJarcHj6uLx1YJy6NAh0tPTeeWVV7jppptQSrU7b0t3gxaX8ePHExcXx2effQbQqjtKnBkyHDr0OG2boOYBwAHYQcVC7BxUv8cleAkz/gyHnj38Pq/tH37/TNCfc2lxCVNtW1/Wf13Oj+f9gebinQBU7dpERGwCP52s46abbiIqKgqTycTYsWPdw4hra2uJj493t6CYzWbMZjNDhw7t8uy2AL/5zW9ITEyksLCQnJwcn8GEvwGLS1ZWFqtWreLEiRMMHDjQ7+MIcbbQzpOngpYGj402sH0AsXMhRta2POs5HZ3vEwQSuIQ5VwDzdMFBIs8bB0qB1oDG2WSjIa4vkyZNYsyYMQwfPtzdemIymUhKSuqwS6c7ZZg8eTKff/65+98uPQ1YXLKyssjNzaWgoIDrrruux8cTIuw17QQVCV4NUja0bSMqgIFL7YmT7P/iIP0GJZAxMb1nK7TbHezaspujJVbSLjBzyZwxREZ1f+Zt0QWS4yKC6VhNAxGRfYiIPQen7SQJmRbiz59A9IBktj1/Q0AClI5M/lUCeXmlVN0/EFNqGsx4GH3xte73expkjB8/nn7nDuKeJ19nxe6+pAyI5/45GWG/srIQ/muvG1W1BDQB8taq91iX+x5R0VFop6Z/Yj+eLHiQlF8ndftYNT/UsmTKg/xY+TNNtmai4/owMGkAz+14jP6D2y5ILHrMoDkukgBwlkgZEAdA6j1vkXb/BgZdditxaReTlpba60ELe99lct1mAHaW26HmKHrD3bD33R6tgO1pw55jOE2j+fHglzidDipqG1nx/j7ydlt7fGwhwlL0ZHw0twCxqLh5ATlFccEe3n58PU0NzfxSa8NW10BV2XH+O3sV/uQevbTk71QePo7tZAMOuwPbyQYqDx/npSV/D0h5RRsOh/fLACRwOUssmzWCuD4tf0W5AoW4PpEsmzWi90/+8aP8NtFOdATsPGpvKYO9AbX9sYCdYvXWEqKHZ+JsqKfx2EEAbM0OVm8tCdg5hAgnKiIeNWANEAsqDogGYiD+v1DRlwTkHPkvfkBDfWOrbdqp+cH6I6V7y7p9vB3rd+Fobv3j6Wh2sGP9rh6VU7TD4fR+GYB0FZ0lXF0mq7eWUPGzjZQBcSybNeLMdKXUlBMTpZhojqCqzmNulZrygJ2i4mcbccPH0mdwGrrJ1mq7EMI3FTMdhnwKDQUtibkx01BRvwrY8U/+VOdze0RkBPU1v3T7eO010sjAsd6h7fZgF8EnCVzOIvPGmoKT89HfDDVH+fhPfYmKUK23B0jKgDisP0PKzS96bRdCtE9FnAvx1/XKsadcNYHvvv6eRltTq+1Oh5P0zF93+3gTs3/LFxuLcdhP/+UfGRXBxOzf9riswgeDdA21JV1Fovdd9hD0iWsdtPSJa9keIJ5dYS5nrCtMCOFT9u0zSRo+hJj4lhXmVYQiJj6axc/fTGx811ad93TXCzczMOlc4hJiAYhLiGVg0rnc9cLNAS23aKEdDq+XEcgEdOLM2PsufPxoS/dQf3NL0DJqfkBPkbfbGpyuMAHIBHTCt4ZfGtn2j3+xc0MxA5MGcOXi2Yzwo7XFpamhiR3vf0nZt+UMyzAz5epLiI6NDmCJw5M/E9BdHnO91/aCxreC/pxL4CKECAgJXIQwLn8Cl5lR3l2I2+zvBP05lxwXIYQQQngxStdQW4ZocQlqAYQQARPsv8TakvpFiNO62eJyGBjm460yrfV5gSqTP4IeuASSUqpYa50Z7HL0hHwHY5DvIMDY11DK5h8pW+iTUUVCCCGECBkSuAghhBAiZIRb4PJKsAsQAPIdjEG+gwBjX0Mpm3+kbCEurHJchBBCCBHewq3FRQghhBBhTAIXIYQQQoSMsApclFIxSqnXlVJlSqmTSqndSqk5wS5Xdyml7lJKFSulGpVSfw92ebpKKTVQKbVeKVV/6v/Ae75oAwvV6+4pXJ4BozD69TTaPWvkOsBo18qT0e8zowm3mXOjgKPA74AjQBbwrlLqYq314WAWrJsqgFxgFhBKyxu/BDQBQ4ExwGal1B6t9TdBLVXXhep19xQuz4BRGP16Gu2eNXIdYLRr5cno95mhhH1yrlJqL/CI1vq9YJelu5RSuYBZa50T7LJ0RinVF/gJuEhrffDUtrWAVWv9l6AWrptC6bp3RSg/A0ZkxOtphHs2VOoAI1yrrjDifWYUYdVV1JZSaiiQDhgh2g936YDDVWGdsge4MEjlEcgzEGhyPTskdUCAyH3WsbANXJRSfYB1wD+01geCXZ6zQAJQ02ZbDXBOEMoikGcg0OR6dkrqgACQ+6xzIRW4KKX+pZTS7bx2eOwXAaylpa/1rqAV2IeufocQVAf0a7OtH3AyCGU56xn5GTASI9cpIVhXSB3QQ/Lcdk1IJedqrad3to9SSgGv05IclqW1bu7tcnVHV75DiDoIRCmlztdaHzq1bTTS1HnGGf0ZMBIj1ykhWFdIHdAD8tx2XUi1uHTRy0AGcIXW2hbswvhDKRWllIoFIoFIpVSsUsrQQabWuh54H3hUKdVXKTUZsNDy10NICMXr3o6QfwYMxrDX00j3rNHrACNdq3YY9j4zHK112LyAYYAGGmhptnS9bgh22br5PVae+h6er5XBLlcXyj0QyAPqaRnSd32wy3Q2XPc23yEsngGjvIx+PY12zxq5DjDatWpTNkPfZ0Z7hf1waCGEEEKEj3DsKhJCCCFEmJLARQghhBAhQwIXIYQQQoQMCVyEEEIIETIkcBFCCCFEyJDARQghhBAhQwIXIYQQQoQMCVyEEEIIETIkcBFCCCFEyPh/kfxSb9C+rVgAAAAASUVORK5CYII=",
      "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<svg height=\"347.0355pt\" version=\"1.1\" viewBox=\"0 0 558.606784 347.0355\" width=\"558.606784pt\" 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>2021-08-31T03:55:43.650846</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, 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 0 347.0355 \nL 558.606784 347.0355 \nL 558.606784 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 31.890625 147.70175 \nL 274.95517 147.70175 \nL 274.95517 24.14175 \nL 31.890625 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PathCollection_1\">\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"m98c4cbca2f\" style=\"stroke:#1f77b4;\"/>\n    </defs>\n    <g clip-path=\"url(#p5800619f25)\">\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"125.216281\" xlink:href=\"#m98c4cbca2f\" y=\"138.867277\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"223.633874\" xlink:href=\"#m98c4cbca2f\" y=\"106.843392\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"47.947086\" xlink:href=\"#m98c4cbca2f\" y=\"97.605398\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"234.174291\" xlink:href=\"#m98c4cbca2f\" y=\"120.758506\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"217.817368\" xlink:href=\"#m98c4cbca2f\" y=\"55.662676\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"86.050473\" xlink:href=\"#m98c4cbca2f\" y=\"48.861243\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"147.720458\" xlink:href=\"#m98c4cbca2f\" y=\"29.758114\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"180.672727\" xlink:href=\"#m98c4cbca2f\" y=\"141.927304\"/>\n    </g>\n   </g>\n   <g id=\"PathCollection_2\">\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"ma477d1bb58\" style=\"stroke:#ff7f0e;\"/>\n    </defs>\n    <g clip-path=\"url(#p5800619f25)\">\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"42.939013\" xlink:href=\"#ma477d1bb58\" y=\"95.815184\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"263.906782\" xlink:href=\"#ma477d1bb58\" y=\"75.06343\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"156.005867\" xlink:href=\"#ma477d1bb58\" y=\"142.085386\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"132.547449\" xlink:href=\"#ma477d1bb58\" y=\"40.625003\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"56.981313\" xlink:href=\"#ma477d1bb58\" y=\"115.560945\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"167.868794\" xlink:href=\"#ma477d1bb58\" y=\"69.330323\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mfef0e06c82\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.750183\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- −2 -->\n      <g transform=\"translate(41.904871 163.819875)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 678 2272 \nL 4684 2272 \nL 4684 1741 \nL 678 1741 \nL 678 2272 \nz\n\" id=\"DejaVuSans-2212\" transform=\"scale(0.015625)\"/>\n        <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\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=\"99.785155\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- −1 -->\n      <g transform=\"translate(90.939842 163.819875)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\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=\"148.820127\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0 -->\n      <g transform=\"translate(145.002627 163.819875)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\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=\"197.855098\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1 -->\n      <g transform=\"translate(194.037598 163.819875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\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=\"246.89007\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2 -->\n      <g transform=\"translate(243.07257 163.819875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_6\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m58ae73e83d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"122.312487\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- −1 -->\n      <g transform=\"translate(7.2 126.87155)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"91.340299\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(17.255625 95.899361)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"60.36811\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 1 -->\n      <g transform=\"translate(17.255625 64.927173)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"29.395922\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 2 -->\n      <g transform=\"translate(17.255625 33.954984)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 31.890625 147.70175 \nL 31.890625 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 274.95517 147.70175 \nL 274.95517 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 31.890625 147.70175 \nL 274.95517 147.70175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 31.890625 24.14175 \nL 274.95517 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_10\">\n    <!-- A -->\n    <g transform=\"translate(125.216281 138.867277)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 2188 4044 \nL 1331 1722 \nL 3047 1722 \nL 2188 4044 \nz\nM 1831 4666 \nL 2547 4666 \nL 4325 0 \nL 3669 0 \nL 3244 1197 \nL 1141 1197 \nL 716 0 \nL 50 0 \nL 1831 4666 \nz\n\" id=\"DejaVuSans-41\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-41\"/>\n    </g>\n   </g>\n   <g id=\"text_11\">\n    <!-- B -->\n    <g transform=\"translate(223.633874 106.843392)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 1259 2228 \nL 1259 519 \nL 2272 519 \nQ 2781 519 3026 730 \nQ 3272 941 3272 1375 \nQ 3272 1813 3026 2020 \nQ 2781 2228 2272 2228 \nL 1259 2228 \nz\nM 1259 4147 \nL 1259 2741 \nL 2194 2741 \nQ 2656 2741 2882 2914 \nQ 3109 3088 3109 3444 \nQ 3109 3797 2882 3972 \nQ 2656 4147 2194 4147 \nL 1259 4147 \nz\nM 628 4666 \nL 2241 4666 \nQ 2963 4666 3353 4366 \nQ 3744 4066 3744 3513 \nQ 3744 3084 3544 2831 \nQ 3344 2578 2956 2516 \nQ 3422 2416 3680 2098 \nQ 3938 1781 3938 1306 \nQ 3938 681 3513 340 \nQ 3088 0 2303 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-42\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-42\"/>\n    </g>\n   </g>\n   <g id=\"text_12\">\n    <!-- C -->\n    <g transform=\"translate(47.947086 97.605398)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 4122 4306 \nL 4122 3641 \nQ 3803 3938 3442 4084 \nQ 3081 4231 2675 4231 \nQ 1875 4231 1450 3742 \nQ 1025 3253 1025 2328 \nQ 1025 1406 1450 917 \nQ 1875 428 2675 428 \nQ 3081 428 3442 575 \nQ 3803 722 4122 1019 \nL 4122 359 \nQ 3791 134 3420 21 \nQ 3050 -91 2638 -91 \nQ 1578 -91 968 557 \nQ 359 1206 359 2328 \nQ 359 3453 968 4101 \nQ 1578 4750 2638 4750 \nQ 3056 4750 3426 4639 \nQ 3797 4528 4122 4306 \nz\n\" id=\"DejaVuSans-43\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-43\"/>\n    </g>\n   </g>\n   <g id=\"text_13\">\n    <!-- D -->\n    <g transform=\"translate(234.174291 120.758506)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 1259 4147 \nL 1259 519 \nL 2022 519 \nQ 2988 519 3436 956 \nQ 3884 1394 3884 2338 \nQ 3884 3275 3436 3711 \nQ 2988 4147 2022 4147 \nL 1259 4147 \nz\nM 628 4666 \nL 1925 4666 \nQ 3281 4666 3915 4102 \nQ 4550 3538 4550 2338 \nQ 4550 1131 3912 565 \nQ 3275 0 1925 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-44\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-44\"/>\n    </g>\n   </g>\n   <g id=\"text_14\">\n    <!-- E -->\n    <g transform=\"translate(217.817368 55.662676)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 3578 4666 \nL 3578 4134 \nL 1259 4134 \nL 1259 2753 \nL 3481 2753 \nL 3481 2222 \nL 1259 2222 \nL 1259 531 \nL 3634 531 \nL 3634 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-45\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-45\"/>\n    </g>\n   </g>\n   <g id=\"text_15\">\n    <!-- F -->\n    <g transform=\"translate(86.050473 48.861243)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 3309 4666 \nL 3309 4134 \nL 1259 4134 \nL 1259 2759 \nL 3109 2759 \nL 3109 2228 \nL 1259 2228 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-46\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-46\"/>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <!-- G -->\n    <g transform=\"translate(147.720458 29.758114)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 3809 666 \nL 3809 1919 \nL 2778 1919 \nL 2778 2438 \nL 4434 2438 \nL 4434 434 \nQ 4069 175 3628 42 \nQ 3188 -91 2688 -91 \nQ 1594 -91 976 548 \nQ 359 1188 359 2328 \nQ 359 3472 976 4111 \nQ 1594 4750 2688 4750 \nQ 3144 4750 3555 4637 \nQ 3966 4525 4313 4306 \nL 4313 3634 \nQ 3963 3931 3569 4081 \nQ 3175 4231 2741 4231 \nQ 1884 4231 1454 3753 \nQ 1025 3275 1025 2328 \nQ 1025 1384 1454 906 \nQ 1884 428 2741 428 \nQ 3075 428 3337 486 \nQ 3600 544 3809 666 \nz\n\" id=\"DejaVuSans-47\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-47\"/>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- H -->\n    <g transform=\"translate(180.672727 141.927304)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1259 4666 \nL 1259 2753 \nL 3553 2753 \nL 3553 4666 \nL 4184 4666 \nL 4184 0 \nL 3553 0 \nL 3553 2222 \nL 1259 2222 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-48\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-48\"/>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <!-- I -->\n    <g transform=\"translate(42.939013 95.815184)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1259 4666 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-49\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- J -->\n    <g transform=\"translate(263.906782 75.06343)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1259 4666 \nL 1259 325 \nQ 1259 -519 939 -900 \nQ 619 -1281 -91 -1281 \nL -331 -1281 \nL -331 -750 \nL -134 -750 \nQ 284 -750 456 -515 \nQ 628 -281 628 325 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4a\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-4a\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- K -->\n    <g transform=\"translate(156.005867 142.085386)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1259 4666 \nL 1259 2694 \nL 3353 4666 \nL 4166 4666 \nL 1850 2491 \nL 4331 0 \nL 3500 0 \nL 1259 2247 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4b\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-4b\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- L -->\n    <g transform=\"translate(132.547449 40.625003)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1259 4666 \nL 1259 531 \nL 3531 531 \nL 3531 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4c\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-4c\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- M -->\n    <g transform=\"translate(56.981313 115.560945)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1569 4666 \nL 2759 1491 \nL 3956 4666 \nL 4897 4666 \nL 4897 0 \nL 4281 0 \nL 4281 4097 \nL 3078 897 \nL 2444 897 \nL 1241 4097 \nL 1241 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4d\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-4d\"/>\n    </g>\n   </g>\n   <g id=\"text_23\">\n    <!-- N -->\n    <g transform=\"translate(167.868794 69.330323)scale(0.12 -0.12)\">\n     <defs>\n      <path d=\"M 628 4666 \nL 1478 4666 \nL 3547 763 \nL 3547 4666 \nL 4159 4666 \nL 4159 0 \nL 3309 0 \nL 1241 3903 \nL 1241 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4e\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-4e\"/>\n    </g>\n   </g>\n   <g id=\"text_24\">\n    <!-- Embeddings -->\n    <g transform=\"translate(108.832398 18.14175)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 3328 2828 \nQ 3544 3216 3844 3400 \nQ 4144 3584 4550 3584 \nQ 5097 3584 5394 3201 \nQ 5691 2819 5691 2113 \nL 5691 0 \nL 5113 0 \nL 5113 2094 \nQ 5113 2597 4934 2840 \nQ 4756 3084 4391 3084 \nQ 3944 3084 3684 2787 \nQ 3425 2491 3425 1978 \nL 3425 0 \nL 2847 0 \nL 2847 2094 \nQ 2847 2600 2669 2842 \nQ 2491 3084 2119 3084 \nQ 1678 3084 1418 2786 \nQ 1159 2488 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1356 3278 1631 3431 \nQ 1906 3584 2284 3584 \nQ 2666 3584 2933 3390 \nQ 3200 3197 3328 2828 \nz\n\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\nM 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nL 1159 0 \nL 581 0 \nL 581 4863 \nL 1159 4863 \nL 1159 2969 \nz\n\" id=\"DejaVuSans-62\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2906 1791 \nQ 2906 2416 2648 2759 \nQ 2391 3103 1925 3103 \nQ 1463 3103 1205 2759 \nQ 947 2416 947 1791 \nQ 947 1169 1205 825 \nQ 1463 481 1925 481 \nQ 2391 481 2648 825 \nQ 2906 1169 2906 1791 \nz\nM 3481 434 \nQ 3481 -459 3084 -895 \nQ 2688 -1331 1869 -1331 \nQ 1566 -1331 1297 -1286 \nQ 1028 -1241 775 -1147 \nL 775 -588 \nQ 1028 -725 1275 -790 \nQ 1522 -856 1778 -856 \nQ 2344 -856 2625 -561 \nQ 2906 -266 2906 331 \nL 2906 616 \nQ 2728 306 2450 153 \nQ 2172 0 1784 0 \nQ 1141 0 747 490 \nQ 353 981 353 1791 \nQ 353 2603 747 3093 \nQ 1141 3584 1784 3584 \nQ 2172 3584 2450 3431 \nQ 2728 3278 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 434 \nz\n\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-45\"/>\n     <use x=\"63.183594\" xlink:href=\"#DejaVuSans-6d\"/>\n     <use x=\"160.595703\" xlink:href=\"#DejaVuSans-62\"/>\n     <use x=\"224.072266\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"285.595703\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"349.072266\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"412.548828\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"440.332031\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"503.710938\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"567.1875\" xlink:href=\"#DejaVuSans-73\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 180.179545 68.96925 \nL 266.55517 68.96925 \nQ 268.95517 68.96925 268.95517 66.56925 \nL 268.95517 32.54175 \nQ 268.95517 30.14175 266.55517 30.14175 \nL 180.179545 30.14175 \nQ 177.779545 30.14175 177.779545 32.54175 \nL 177.779545 66.56925 \nQ 177.779545 68.96925 180.179545 68.96925 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"PathCollection_3\">\n     <g>\n      <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"194.579545\" xlink:href=\"#m98c4cbca2f\" y=\"40.909875\"/>\n     </g>\n    </g>\n    <g id=\"text_25\">\n     <!-- Group 1 -->\n     <g transform=\"translate(216.179545 44.059875)scale(0.12 -0.12)\">\n      <defs>\n       <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1959 3097 \nQ 1497 3097 1228 2736 \nQ 959 2375 959 1747 \nQ 959 1119 1226 758 \nQ 1494 397 1959 397 \nQ 2419 397 2687 759 \nQ 2956 1122 2956 1747 \nQ 2956 2369 2687 2733 \nQ 2419 3097 1959 3097 \nz\nM 1959 3584 \nQ 2709 3584 3137 3096 \nQ 3566 2609 3566 1747 \nQ 3566 888 3137 398 \nQ 2709 -91 1959 -91 \nQ 1206 -91 779 398 \nQ 353 888 353 1747 \nQ 353 2609 779 3096 \nQ 1206 3584 1959 3584 \nz\n\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n       <path d=\"M 1159 525 \nL 1159 -1331 \nL 581 -1331 \nL 581 3500 \nL 1159 3500 \nL 1159 2969 \nQ 1341 3281 1617 3432 \nQ 1894 3584 2278 3584 \nQ 2916 3584 3314 3078 \nQ 3713 2572 3713 1747 \nQ 3713 922 3314 415 \nQ 2916 -91 2278 -91 \nQ 1894 -91 1617 61 \nQ 1341 213 1159 525 \nz\nM 3116 1747 \nQ 3116 2381 2855 2742 \nQ 2594 3103 2138 3103 \nQ 1681 3103 1420 2742 \nQ 1159 2381 1159 1747 \nQ 1159 1113 1420 752 \nQ 1681 391 2138 391 \nQ 2594 391 2855 752 \nQ 3116 1113 3116 1747 \nz\n\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-47\"/>\n      <use x=\"77.490234\" xlink:href=\"#DejaVuSans-72\"/>\n      <use x=\"116.353516\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"177.535156\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"240.914062\" xlink:href=\"#DejaVuSans-70\"/>\n      <use x=\"304.390625\" xlink:href=\"#DejaVuSans-20\"/>\n      <use x=\"336.177734\" xlink:href=\"#DejaVuSans-31\"/>\n     </g>\n    </g>\n    <g id=\"PathCollection_4\">\n     <g>\n      <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"194.579545\" xlink:href=\"#ma477d1bb58\" y=\"58.523625\"/>\n     </g>\n    </g>\n    <g id=\"text_26\">\n     <!-- Group 2 -->\n     <g transform=\"translate(216.179545 61.673625)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-47\"/>\n      <use x=\"77.490234\" xlink:href=\"#DejaVuSans-72\"/>\n      <use x=\"116.353516\" xlink:href=\"#DejaVuSans-6f\"/>\n      <use x=\"177.535156\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"240.914062\" xlink:href=\"#DejaVuSans-70\"/>\n      <use x=\"304.390625\" xlink:href=\"#DejaVuSans-20\"/>\n      <use x=\"336.177734\" xlink:href=\"#DejaVuSans-32\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_8\">\n    <path d=\"M 312.54017 147.70175 \nL 506.991807 147.70175 \nL 506.991807 24.14175 \nL 312.54017 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PathCollection_5\">\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 -0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"C0_0_5c8a380c51\"/>\n    </defs>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#efe51c;stroke:#efe51c;\" x=\"387.200695\" xlink:href=\"#C0_0_5c8a380c51\" y=\"138.867277\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#440256;stroke:#440256;\" x=\"465.93477\" xlink:href=\"#C0_0_5c8a380c51\" y=\"106.843392\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#471063;stroke:#471063;\" x=\"325.385339\" xlink:href=\"#C0_0_5c8a380c51\" y=\"97.605398\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"474.367103\" xlink:href=\"#C0_0_5c8a380c51\" y=\"120.758506\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#e2e418;stroke:#e2e418;\" x=\"461.281565\" xlink:href=\"#C0_0_5c8a380c51\" y=\"55.662676\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#89d548;stroke:#89d548;\" x=\"355.868049\" xlink:href=\"#C0_0_5c8a380c51\" y=\"48.861243\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#5ec962;stroke:#5ec962;\" x=\"405.204037\" xlink:href=\"#C0_0_5c8a380c51\" y=\"29.758114\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#450457;stroke:#450457;\" x=\"431.565852\" xlink:href=\"#C0_0_5c8a380c51\" y=\"141.927304\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#470d60;stroke:#470d60;\" x=\"321.378881\" xlink:href=\"#C0_0_5c8a380c51\" y=\"95.815184\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#e7e419;stroke:#e7e419;\" x=\"498.153096\" xlink:href=\"#C0_0_5c8a380c51\" y=\"75.06343\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#460a5d;stroke:#460a5d;\" x=\"411.832364\" xlink:href=\"#C0_0_5c8a380c51\" y=\"142.085386\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#46085c;stroke:#46085c;\" x=\"393.065629\" xlink:href=\"#C0_0_5c8a380c51\" y=\"40.625003\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#481a6c;stroke:#481a6c;\" x=\"332.612721\" xlink:href=\"#C0_0_5c8a380c51\" y=\"115.560945\"/>\n    </g>\n    <g clip-path=\"url(#peeee48b1c6)\">\n     <use style=\"fill:#fde725;stroke:#fde725;\" x=\"421.322705\" xlink:href=\"#C0_0_5c8a380c51\" y=\"69.330323\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_6\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"327.627817\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_27\">\n      <!-- −2 -->\n      <g transform=\"translate(318.782504 163.819875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"366.855794\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_28\">\n      <!-- −1 -->\n      <g transform=\"translate(358.010482 163.819875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"406.083772\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_29\">\n      <!-- 0 -->\n      <g transform=\"translate(402.266272 163.819875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"445.311749\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_30\">\n      <!-- 1 -->\n      <g transform=\"translate(441.494249 163.819875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_10\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"484.539727\" xlink:href=\"#mfef0e06c82\" y=\"147.70175\"/>\n      </g>\n     </g>\n     <g id=\"text_31\">\n      <!-- 2 -->\n      <g transform=\"translate(480.722227 163.819875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"122.312487\"/>\n      </g>\n     </g>\n     <g id=\"text_32\">\n      <!-- −1 -->\n      <g transform=\"translate(287.849545 126.87155)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"91.340299\"/>\n      </g>\n     </g>\n     <g id=\"text_33\">\n      <!-- 0 -->\n      <g transform=\"translate(297.90517 95.899361)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_17\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"60.36811\"/>\n      </g>\n     </g>\n     <g id=\"text_34\">\n      <!-- 1 -->\n      <g transform=\"translate(297.90517 64.927173)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"29.395922\"/>\n      </g>\n     </g>\n     <g id=\"text_35\">\n      <!-- 2 -->\n      <g transform=\"translate(297.90517 33.954984)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 312.54017 147.70175 \nL 312.54017 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 506.991807 147.70175 \nL 506.991807 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 312.54017 147.70175 \nL 506.991807 147.70175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 312.54017 24.14175 \nL 506.991807 24.14175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_36\">\n    <!-- Smokes -->\n    <g transform=\"translate(381.687114 18.14175)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 3425 4513 \nL 3425 3897 \nQ 3066 4069 2747 4153 \nQ 2428 4238 2131 4238 \nQ 1616 4238 1336 4038 \nQ 1056 3838 1056 3469 \nQ 1056 3159 1242 3001 \nQ 1428 2844 1947 2747 \nL 2328 2669 \nQ 3034 2534 3370 2195 \nQ 3706 1856 3706 1288 \nQ 3706 609 3251 259 \nQ 2797 -91 1919 -91 \nQ 1588 -91 1214 -16 \nQ 841 59 441 206 \nL 441 856 \nQ 825 641 1194 531 \nQ 1563 422 1919 422 \nQ 2459 422 2753 634 \nQ 3047 847 3047 1241 \nQ 3047 1584 2836 1778 \nQ 2625 1972 2144 2069 \nL 1759 2144 \nQ 1053 2284 737 2584 \nQ 422 2884 422 3419 \nQ 422 4038 858 4394 \nQ 1294 4750 2059 4750 \nQ 2388 4750 2728 4690 \nQ 3069 4631 3425 4513 \nz\n\" id=\"DejaVuSans-53\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" id=\"DejaVuSans-6b\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-53\"/>\n     <use x=\"63.476562\" xlink:href=\"#DejaVuSans-6d\"/>\n     <use x=\"160.888672\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"222.070312\" xlink:href=\"#DejaVuSans-6b\"/>\n     <use x=\"276.355469\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"337.878906\" xlink:href=\"#DejaVuSans-73\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_13\">\n    <path d=\"M 519.145034 147.70175 \nL 525.323034 147.70175 \nL 525.323034 24.14175 \nL 519.145034 24.14175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path clip-path=\"url(#p557ec8180c)\" d=\"M 519.145034 147.70175 \nL 519.145034 147.219094 \nL 519.145034 24.624406 \nL 519.145034 24.14175 \nL 525.323034 24.14175 \nL 525.323034 24.624406 \nL 525.323034 147.219094 \nL 525.323034 147.70175 \nL 525.323034 147.70175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"124\" id=\"imaged814cc6f06\" transform=\"scale(1 -1)translate(0 -124)\" width=\"6\" x=\"519\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAYAAAB8CAYAAABKdcHvAAAA3ElEQVR4nL2W0Q3DIAxEbYyjDNYRuv8ibUMX8EM6hMhnTvfuTBKCv/w9rLi6R1T3J4Ltc1g0FdXAwRkdUWqrSTgII1xEDc4A1IqDhAWHOvmoDZOMyRwqaqejfntWUA+jtmUYow4IddtDreTVXWh1ZMByB1/JMELhHIwKbEUZciuXJzdXUbrQdAe1au2phR4gYHgQKiicHdjKZYeMYscC6lcLV/vWQsqodBK4roziDJxjW8blasbtH3KoKD08DVH6ksATvAyEpE8taXtNg/95OpyvbofTazcQ0nsp/AFQ7WL2LDDzUgAAAABJRU5ErkJggg==\" y=\"-24\"/>\n   <g id=\"matplotlib.axis_5\"/>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_9\">\n     <g id=\"line2d_19\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"ma681ce8212\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"122.971184\"/>\n      </g>\n     </g>\n     <g id=\"text_37\">\n      <!-- 0.2 -->\n      <g transform=\"translate(532.323034 127.530246)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_10\">\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"97.645016\"/>\n      </g>\n     </g>\n     <g id=\"text_38\">\n      <!-- 0.4 -->\n      <g transform=\"translate(532.323034 102.204079)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_11\">\n     <g id=\"line2d_21\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"72.318849\"/>\n      </g>\n     </g>\n     <g id=\"text_39\">\n      <!-- 0.6 -->\n      <g transform=\"translate(532.323034 76.877911)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_12\">\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"46.992681\"/>\n      </g>\n     </g>\n     <g id=\"text_40\">\n      <!-- 0.8 -->\n      <g transform=\"translate(532.323034 51.551744)scale(0.12 -0.12)\">\n       <defs>\n        <path d=\"M 2034 2216 \nQ 1584 2216 1326 1975 \nQ 1069 1734 1069 1313 \nQ 1069 891 1326 650 \nQ 1584 409 2034 409 \nQ 2484 409 2743 651 \nQ 3003 894 3003 1313 \nQ 3003 1734 2745 1975 \nQ 2488 2216 2034 2216 \nz\nM 1403 2484 \nQ 997 2584 770 2862 \nQ 544 3141 544 3541 \nQ 544 4100 942 4425 \nQ 1341 4750 2034 4750 \nQ 2731 4750 3128 4425 \nQ 3525 4100 3525 3541 \nQ 3525 3141 3298 2862 \nQ 3072 2584 2669 2484 \nQ 3125 2378 3379 2068 \nQ 3634 1759 3634 1313 \nQ 3634 634 3220 271 \nQ 2806 -91 2034 -91 \nQ 1263 -91 848 271 \nQ 434 634 434 1313 \nQ 434 1759 690 2068 \nQ 947 2378 1403 2484 \nz\nM 1172 3481 \nQ 1172 3119 1398 2916 \nQ 1625 2713 2034 2713 \nQ 2441 2713 2670 2916 \nQ 2900 3119 2900 3481 \nQ 2900 3844 2670 4047 \nQ 2441 4250 2034 4250 \nQ 1625 4250 1398 4047 \nQ 1172 3844 1172 3481 \nz\n\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_15\">\n    <path d=\"M 519.145034 147.70175 \nL 519.145034 147.219094 \nL 519.145034 24.624406 \nL 519.145034 24.14175 \nL 525.323034 24.14175 \nL 525.323034 24.624406 \nL 525.323034 147.219094 \nL 525.323034 147.70175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_4\">\n   <g id=\"patch_16\">\n    <path d=\"M 312.54017 321.22175 \nL 506.991807 321.22175 \nL 506.991807 197.66175 \nL 312.54017 197.66175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PathCollection_6\">\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 -0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"C1_0_6b5f3c8b58\"/>\n    </defs>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#fde725;stroke:#fde725;\" x=\"387.200695\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"312.387277\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"465.93477\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"280.363392\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"325.385339\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"271.125398\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"474.367103\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"294.278506\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#fde725;stroke:#fde725;\" x=\"461.281565\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"229.182676\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#3f4889;stroke:#3f4889;\" x=\"355.868049\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"222.381243\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#423f85;stroke:#423f85;\" x=\"405.204037\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"203.278114\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440256;stroke:#440256;\" x=\"431.565852\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"315.447304\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"321.378881\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"269.335184\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#fde725;stroke:#fde725;\" x=\"498.153096\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"248.58343\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"411.832364\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"315.605386\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"393.065629\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"214.145003\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#440154;stroke:#440154;\" x=\"332.612721\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"289.080945\"/>\n    </g>\n    <g clip-path=\"url(#p3efe5f632f)\">\n     <use style=\"fill:#fbe723;stroke:#fbe723;\" x=\"421.322705\" xlink:href=\"#C1_0_6b5f3c8b58\" y=\"242.850323\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_7\">\n    <g id=\"xtick_11\">\n     <g id=\"line2d_23\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"327.627817\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_41\">\n      <!-- −2 -->\n      <g transform=\"translate(318.782504 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_12\">\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"366.855794\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_42\">\n      <!-- −1 -->\n      <g transform=\"translate(358.010482 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_13\">\n     <g id=\"line2d_25\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"406.083772\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_43\">\n      <!-- 0 -->\n      <g transform=\"translate(402.266272 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_14\">\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"445.311749\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_44\">\n      <!-- 1 -->\n      <g transform=\"translate(441.494249 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_15\">\n     <g id=\"line2d_27\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"484.539727\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_45\">\n      <!-- 2 -->\n      <g transform=\"translate(480.722227 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_8\">\n    <g id=\"ytick_13\">\n     <g id=\"line2d_28\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"295.832487\"/>\n      </g>\n     </g>\n     <g id=\"text_46\">\n      <!-- −1 -->\n      <g transform=\"translate(287.849545 300.39155)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_14\">\n     <g id=\"line2d_29\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"264.860299\"/>\n      </g>\n     </g>\n     <g id=\"text_47\">\n      <!-- 0 -->\n      <g transform=\"translate(297.90517 269.419361)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_15\">\n     <g id=\"line2d_30\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"233.88811\"/>\n      </g>\n     </g>\n     <g id=\"text_48\">\n      <!-- 1 -->\n      <g transform=\"translate(297.90517 238.447173)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_16\">\n     <g id=\"line2d_31\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.54017\" xlink:href=\"#m58ae73e83d\" y=\"202.915922\"/>\n      </g>\n     </g>\n     <g id=\"text_49\">\n      <!-- 2 -->\n      <g transform=\"translate(297.90517 207.474984)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_17\">\n    <path d=\"M 312.54017 321.22175 \nL 312.54017 197.66175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path d=\"M 506.991807 321.22175 \nL 506.991807 197.66175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path d=\"M 312.54017 321.22175 \nL 506.991807 321.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path d=\"M 312.54017 197.66175 \nL 506.991807 197.66175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_50\">\n    <!-- Cancer -->\n    <g transform=\"translate(384.414114 191.66175)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n      <path d=\"M 3122 3366 \nL 3122 2828 \nQ 2878 2963 2633 3030 \nQ 2388 3097 2138 3097 \nQ 1578 3097 1268 2742 \nQ 959 2388 959 1747 \nQ 959 1106 1268 751 \nQ 1578 397 2138 397 \nQ 2388 397 2633 464 \nQ 2878 531 3122 666 \nL 3122 134 \nQ 2881 22 2623 -34 \nQ 2366 -91 2075 -91 \nQ 1284 -91 818 406 \nQ 353 903 353 1747 \nQ 353 2603 823 3093 \nQ 1294 3584 2113 3584 \nQ 2378 3584 2631 3529 \nQ 2884 3475 3122 3366 \nz\n\" id=\"DejaVuSans-63\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-43\"/>\n     <use x=\"69.824219\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"131.103516\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"194.482422\" xlink:href=\"#DejaVuSans-63\"/>\n     <use x=\"249.462891\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"310.986328\" xlink:href=\"#DejaVuSans-72\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_5\">\n   <g id=\"patch_21\">\n    <path d=\"M 519.145034 321.22175 \nL 525.323034 321.22175 \nL 525.323034 197.66175 \nL 519.145034 197.66175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path clip-path=\"url(#p367c258daf)\" d=\"M 519.145034 321.22175 \nL 519.145034 320.739094 \nL 519.145034 198.144406 \nL 519.145034 197.66175 \nL 525.323034 197.66175 \nL 525.323034 198.144406 \nL 525.323034 320.739094 \nL 525.323034 321.22175 \nL 525.323034 321.22175 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n   </g>\n   <image height=\"123\" id=\"imageb864324258\" transform=\"scale(1 -1)translate(0 -123)\" width=\"6\" x=\"519\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAYAAAB7CAYAAABXcPFXAAAA1ElEQVR4nL2W2w0CMQwE/UgChVED/ffB42jAE2kji/vMaHdsIuD8Ec/Limd4ZnW+AZYhJ9ocWLUBclVgAsDFCRcdV1+CpwpIfAfKycFyHZTnWwcldAcviIl/VMmOgyoVmF5VT9sr7/x0Sd63x2bB8oe6+aLAwQsmJQ72AOBylTlW6QDkHt8ahOwIGnckOgAkOdLlBDsIkGNQgoFexYlPDRaBSWA4JWT55Cp1qoMqBu+uqnu8RMfSpzK62oMF4QYXOTAx6es8DcBy+NueBG4GL6nTRfAD/lpi7nXRm94AAAAASUVORK5CYII=\" y=\"-198\"/>\n   <g id=\"matplotlib.axis_9\"/>\n   <g id=\"matplotlib.axis_10\">\n    <g id=\"ytick_17\">\n     <g id=\"line2d_32\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"296.489252\"/>\n      </g>\n     </g>\n     <g id=\"text_51\">\n      <!-- 0.2 -->\n      <g transform=\"translate(532.323034 301.048315)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_18\">\n     <g id=\"line2d_33\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"271.756508\"/>\n      </g>\n     </g>\n     <g id=\"text_52\">\n      <!-- 0.4 -->\n      <g transform=\"translate(532.323034 276.315571)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_19\">\n     <g id=\"line2d_34\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"247.023764\"/>\n      </g>\n     </g>\n     <g id=\"text_53\">\n      <!-- 0.6 -->\n      <g transform=\"translate(532.323034 251.582827)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_20\">\n     <g id=\"line2d_35\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"525.323034\" xlink:href=\"#ma681ce8212\" y=\"222.291021\"/>\n      </g>\n     </g>\n     <g id=\"text_54\">\n      <!-- 0.8 -->\n      <g transform=\"translate(532.323034 226.850083)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_2\"/>\n   <g id=\"patch_23\">\n    <path d=\"M 519.145034 321.22175 \nL 519.145034 320.739094 \nL 519.145034 198.144406 \nL 519.145034 197.66175 \nL 525.323034 197.66175 \nL 525.323034 198.144406 \nL 525.323034 320.739094 \nL 525.323034 321.22175 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n  </g>\n  <g id=\"axes_6\">\n   <g id=\"patch_24\">\n    <path d=\"M 31.890625 321.22175 \nL 274.95517 321.22175 \nL 274.95517 197.66175 \nL 31.890625 197.66175 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PathCollection_7\">\n    <g clip-path=\"url(#p5ec6330034)\">\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"125.216281\" xlink:href=\"#m98c4cbca2f\" y=\"312.387277\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"223.633874\" xlink:href=\"#m98c4cbca2f\" y=\"280.363392\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"47.947086\" xlink:href=\"#m98c4cbca2f\" y=\"271.125398\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"234.174291\" xlink:href=\"#m98c4cbca2f\" y=\"294.278506\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"217.817368\" xlink:href=\"#m98c4cbca2f\" y=\"229.182676\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"86.050473\" xlink:href=\"#m98c4cbca2f\" y=\"222.381243\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"147.720458\" xlink:href=\"#m98c4cbca2f\" y=\"203.278114\"/>\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"180.672727\" xlink:href=\"#m98c4cbca2f\" y=\"315.447304\"/>\n    </g>\n   </g>\n   <g id=\"PathCollection_8\">\n    <g clip-path=\"url(#p5ec6330034)\">\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"42.939013\" xlink:href=\"#ma477d1bb58\" y=\"269.335184\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"263.906782\" xlink:href=\"#ma477d1bb58\" y=\"248.58343\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"156.005867\" xlink:href=\"#ma477d1bb58\" y=\"315.605386\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"132.547449\" xlink:href=\"#ma477d1bb58\" y=\"214.145003\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"56.981313\" xlink:href=\"#ma477d1bb58\" y=\"289.080945\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"167.868794\" xlink:href=\"#ma477d1bb58\" y=\"242.850323\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_11\">\n    <g id=\"xtick_16\">\n     <g id=\"line2d_36\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.750183\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_55\">\n      <!-- −2 -->\n      <g transform=\"translate(41.904871 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_17\">\n     <g id=\"line2d_37\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"99.785155\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_56\">\n      <!-- −1 -->\n      <g transform=\"translate(90.939842 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_18\">\n     <g id=\"line2d_38\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"148.820127\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_57\">\n      <!-- 0 -->\n      <g transform=\"translate(145.002627 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_19\">\n     <g id=\"line2d_39\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"197.855098\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_58\">\n      <!-- 1 -->\n      <g transform=\"translate(194.037598 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_20\">\n     <g id=\"line2d_40\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"246.89007\" xlink:href=\"#mfef0e06c82\" y=\"321.22175\"/>\n      </g>\n     </g>\n     <g id=\"text_59\">\n      <!-- 2 -->\n      <g transform=\"translate(243.07257 337.339875)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_12\">\n    <g id=\"ytick_21\">\n     <g id=\"line2d_41\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"295.832487\"/>\n      </g>\n     </g>\n     <g id=\"text_60\">\n      <!-- −1 -->\n      <g transform=\"translate(7.2 300.39155)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-2212\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_22\">\n     <g id=\"line2d_42\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"264.860299\"/>\n      </g>\n     </g>\n     <g id=\"text_61\">\n      <!-- 0 -->\n      <g transform=\"translate(17.255625 269.419361)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_23\">\n     <g id=\"line2d_43\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"233.88811\"/>\n      </g>\n     </g>\n     <g id=\"text_62\">\n      <!-- 1 -->\n      <g transform=\"translate(17.255625 238.447173)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-31\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_24\">\n     <g id=\"line2d_44\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"31.890625\" xlink:href=\"#m58ae73e83d\" y=\"202.915922\"/>\n      </g>\n     </g>\n     <g id=\"text_63\">\n      <!-- 2 -->\n      <g transform=\"translate(17.255625 207.474984)scale(0.12 -0.12)\">\n       <use xlink:href=\"#DejaVuSans-32\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_45\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 125.216281 312.387277 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000023;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_46\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 223.633874 280.363392 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.95426;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_47\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 47.947086 271.125398 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.006486;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_48\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 234.174291 294.278506 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.641864;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_49\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 217.817368 229.182676 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.999997;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_50\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 86.050473 222.381243 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.999992;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_51\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 147.720458 203.278114 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_52\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 125.216281 312.387277 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000021;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_53\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 223.633874 280.363392 \nL 223.633874 280.363392 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_54\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 223.633874 280.363392 \nL 47.947086 271.125398 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.998302;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_55\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 223.633874 280.363392 \nL 234.174291 294.278506 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_56\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 223.633874 280.363392 \nL 217.817368 229.182676 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000032;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_57\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 223.633874 280.363392 \nL 86.050473 222.381243 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.020098;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_58\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 223.633874 280.363392 \nL 147.720458 203.278114 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.004045;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_59\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 223.633874 280.363392 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.00002;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_60\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 47.947086 271.125398 \nL 47.947086 271.125398 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_61\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 47.947086 271.125398 \nL 234.174291 294.278506 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.999362;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_62\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 47.947086 271.125398 \nL 217.817368 229.182676 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.653894;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_63\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 47.947086 271.125398 \nL 86.050473 222.381243 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_64\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 47.947086 271.125398 \nL 147.720458 203.278114 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_65\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 47.947086 271.125398 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.00002;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_66\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 234.174291 294.278506 \nL 234.174291 294.278506 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_67\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 234.174291 294.278506 \nL 217.817368 229.182676 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000024;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_68\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 234.174291 294.278506 \nL 86.050473 222.381243 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.011612;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_69\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 234.174291 294.278506 \nL 147.720458 203.278114 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.008444;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_70\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 234.174291 294.278506 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000003;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_71\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 217.817368 229.182676 \nL 217.817368 229.182676 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000007;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_72\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 217.817368 229.182676 \nL 86.050473 222.381243 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.993635;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_73\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 217.817368 229.182676 \nL 147.720458 203.278114 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.006908;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_74\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 217.817368 229.182676 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.01256;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_75\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 86.050473 222.381243 \nL 86.050473 222.381243 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_76\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 86.050473 222.381243 \nL 147.720458 203.278114 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.00304;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_77\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 86.050473 222.381243 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000964;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_78\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 147.720458 203.278114 \nL 147.720458 203.278114 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000007;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_79\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 147.720458 203.278114 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.993537;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_80\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 180.672727 315.447304 \nL 180.672727 315.447304 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_81\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 42.939013 269.335184 \nL 42.939013 269.335184 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_82\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 42.939013 269.335184 \nL 263.906782 248.58343 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.999999;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_83\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 42.939013 269.335184 \nL 156.005867 315.605386 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000005;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_84\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 42.939013 269.335184 \nL 132.547449 214.145003 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.004029;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_85\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 42.939013 269.335184 \nL 56.981313 289.080945 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_86\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 42.939013 269.335184 \nL 167.868794 242.850323 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000038;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_87\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 263.906782 248.58343 \nL 263.906782 248.58343 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_88\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 263.906782 248.58343 \nL 156.005867 315.605386 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.004479;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_89\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 263.906782 248.58343 \nL 132.547449 214.145003 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000186;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_90\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 263.906782 248.58343 \nL 56.981313 289.080945 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:1;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_91\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 263.906782 248.58343 \nL 167.868794 242.850323 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000005;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_92\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 156.005867 315.605386 \nL 156.005867 315.605386 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_93\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 156.005867 315.605386 \nL 132.547449 214.145003 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.999751;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_94\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 156.005867 315.605386 \nL 56.981313 289.080945 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000758;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_95\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 156.005867 315.605386 \nL 167.868794 242.850323 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.017864;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_96\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 132.547449 214.145003 \nL 132.547449 214.145003 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_97\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 132.547449 214.145003 \nL 56.981313 289.080945 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.653758;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_98\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 132.547449 214.145003 \nL 167.868794 242.850323 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000002;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_99\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 56.981313 289.080945 \nL 56.981313 289.080945 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000001;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_100\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 56.981313 289.080945 \nL 167.868794 242.850323 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.997451;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"line2d_101\">\n    <path clip-path=\"url(#p5ec6330034)\" d=\"M 167.868794 242.850323 \nL 167.868794 242.850323 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.000018;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_25\">\n    <path d=\"M 31.890625 321.22175 \nL 31.890625 197.66175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_26\">\n    <path d=\"M 274.95517 321.22175 \nL 274.95517 197.66175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_27\">\n    <path d=\"M 31.890625 321.22175 \nL 274.95517 321.22175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"patch_28\">\n    <path d=\"M 31.890625 197.66175 \nL 274.95517 197.66175 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\n   </g>\n   <g id=\"text_64\">\n    <!-- Friendships per group -->\n    <g transform=\"translate(75.198273 191.66175)scale(0.144 -0.144)\">\n     <defs>\n      <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 4863 \nL 1159 4863 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-68\" transform=\"scale(0.015625)\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"50.269531\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"91.382812\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"119.166016\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"180.689453\" xlink:href=\"#DejaVuSans-6e\"/>\n     <use x=\"244.068359\" xlink:href=\"#DejaVuSans-64\"/>\n     <use x=\"307.544922\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"359.644531\" xlink:href=\"#DejaVuSans-68\"/>\n     <use x=\"423.023438\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"450.806641\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"514.283203\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"566.382812\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"598.169922\" xlink:href=\"#DejaVuSans-70\"/>\n     <use x=\"661.646484\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"723.169922\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"764.283203\" xlink:href=\"#DejaVuSans-20\"/>\n     <use x=\"796.070312\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"859.546875\" xlink:href=\"#DejaVuSans-72\"/>\n     <use x=\"898.410156\" xlink:href=\"#DejaVuSans-6f\"/>\n     <use x=\"959.591797\" xlink:href=\"#DejaVuSans-75\"/>\n     <use x=\"1022.970703\" xlink:href=\"#DejaVuSans-70\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p5800619f25\">\n   <rect height=\"123.56\" width=\"243.064545\" x=\"31.890625\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"peeee48b1c6\">\n   <rect height=\"123.56\" width=\"194.451636\" x=\"312.54017\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p557ec8180c\">\n   <rect height=\"123.56\" width=\"6.178\" x=\"519.145034\" y=\"24.14175\"/>\n  </clipPath>\n  <clipPath id=\"p3efe5f632f\">\n   <rect height=\"123.56\" width=\"194.451636\" x=\"312.54017\" y=\"197.66175\"/>\n  </clipPath>\n  <clipPath id=\"p367c258daf\">\n   <rect height=\"123.56\" width=\"6.178\" x=\"519.145034\" y=\"197.66175\"/>\n  </clipPath>\n  <clipPath id=\"p5ec6330034\">\n   <rect height=\"123.56\" width=\"243.064545\" x=\"31.890625\" y=\"197.66175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": [
       "<Figure size 576x360 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "plt.subplot(221)\n",
    "plt.scatter(pca_transformed[:len(g1.values()),0],pca_transformed[:len(g1.values()),1],label=\"Group 1\")\n",
    "plt.scatter(pca_transformed[len(g1.values()):,0],pca_transformed[len(g1.values()):,1],label=\"Group 2\")\n",
    "names = list(g.keys())\n",
    "for i in range(len(names)):\n",
    "    plt.annotate(names[i].upper(),pca_transformed[i])\n",
    "plt.title(\"Embeddings\")\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.scatter(pca_transformed[:,0],pca_transformed[:,1],c=Smokes(var_x).tensor)\n",
    "plt.title(\"Smokes\")\n",
    "plt.colorbar()\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.scatter(pca_transformed[:,0],pca_transformed[:,1],c=Cancer(var_x).tensor)\n",
    "plt.title(\"Cancer\")\n",
    "plt.colorbar()\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.scatter(pca_transformed[:len(g1.values()),0],pca_transformed[:len(g1.values()),1],label=\"Group 1\")\n",
    "plt.scatter(pca_transformed[len(g1.values()):,0],pca_transformed[len(g1.values()):,1],label=\"Group 2\")\n",
    "res = Friends([var_x1,var_x2]).tensor.numpy()\n",
    "for i1 in range(len(x)):\n",
    "    for i2 in range(i1,len(x)):\n",
    "        if (names[i1] in g1 and names[i2] in g2) \\\n",
    "            or (names[i1] in g2 and names[i2] in g1):\n",
    "            continue\n",
    "        plt.plot(\n",
    "            [pca_transformed[i1,0],pca_transformed[i2,0]],\n",
    "            [pca_transformed[i1,1],pca_transformed[i2,1]],\n",
    "            alpha=res[i1,i2],c=\"black\")\n",
    "plt.title(\"Friendships per group\")\n",
    "plt.tight_layout()\n",
    "#plt.savefig(\"ex_smokes_embeddings.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "e4ccb0efa59417244fa4c3b009ecf208b78a23eccf7fe2b73b3e70fcb96685f6"
  },
  "kernelspec": {
   "display_name": "Python 3.9.6 64-bit ('tf-py39': conda)",
   "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}