chapter_13.ipynb

{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.1"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "pythonjvsc74a57bd0f54d5a9a292554231b0e4cdeb199e00a9515f991e8d01877fcef19d91dd80062",
   "display_name": "Python 3.9.1  ('env': venv)"
  },
  "metadata": {
   "interpreter": {
    "hash": "f54d5a9a292554231b0e4cdeb199e00a9515f991e8d01877fcef19d91dd80062"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "source": [
    "# Chapter 13\n"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.1: Convenience function to evaluate the effect of a relationship\n",
    "def evaluate_relation(relation, value):\n",
    "    # separate the population\n",
    "    population = train[train[relation].eq(value)] if value < 2 else train[train[relation].ge(value)]\n",
    "    p = len(population)/len(train)\n",
    "\n",
    "    # chance to survive\n",
    "    surv = population[population.Survived.eq(1)]\n",
    "    p_surv = len(surv)/len(population)\n",
    "    return (p, p_surv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Additional imports from previous sections\n",
    "import pandas as pd\n",
    "train = pd.read_csv('./data/train.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "No Sibling: 0.68 of the passengers, survival: 0.35\nOne Sibling: 0.23 of the passengers, survival: 0.54\nMore Siblings: 0.08 of the passengers, survival: 0.27\n\nNo Parent/Child: 0.76 of the passengers, survival: 0.34\nOne Parent/Child: 0.13 of the passengers, survival: 0.55\nMore Parents/Children: 0.11 of the passengers, survival: 0.46\n"
     ]
    }
   ],
   "source": [
    "# Listing 13.2: The probabilities of the different populations\n",
    "print(\"No Sibling: {:.2f} of the passengers, survival: {:.2f}\".format(*evaluate_relation(\"SibSp\", 0)))\n",
    "print(\"One Sibling: {:.2f} of the passengers, survival: {:.2f}\".format(*evaluate_relation(\"SibSp\", 1)))\n",
    "print(\"More Siblings: {:.2f} of the passengers, survival: {:.2f}\".format(*evaluate_relation(\"SibSp\", 2)))\n",
    "print()\n",
    "print(\"No Parent/Child: {:.2f} of the passengers, survival: {:.2f}\".format(*evaluate_relation(\"Parch\", 0)))\n",
    "print(\"One Parent/Child: {:.2f} of the passengers, survival: {:.2f}\".format(*evaluate_relation(\"Parch\", 1)))\n",
    "print(\"More Parents/Children: {:.2f} of the passengers, survival: {:.2f}\".format(*evaluate_relation(\"Parch\", 2)))"
   ]
  },
  {
   "source": [
    "## Section 13.1: Turning the Problem into a Circuit"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "     PassengerId  Survived  Pclass                           Name   Sex   Age  \\\n",
       "249          250         0       2  Carter, Rev. Ernest Courtenay  male  54.0   \n",
       "\n",
       "     SibSp  Parch  Ticket  Fare Cabin Embarked  \n",
       "249      1      0  244252  26.0   NaN        S  "
      ],
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>PassengerId</th>\n      <th>Survived</th>\n      <th>Pclass</th>\n      <th>Name</th>\n      <th>Sex</th>\n      <th>Age</th>\n      <th>SibSp</th>\n      <th>Parch</th>\n      <th>Ticket</th>\n      <th>Fare</th>\n      <th>Cabin</th>\n      <th>Embarked</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>249</th>\n      <td>250</td>\n      <td>0</td>\n      <td>2</td>\n      <td>Carter, Rev. Ernest Courtenay</td>\n      <td>male</td>\n      <td>54.0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>244252</td>\n      <td>26.0</td>\n      <td>NaN</td>\n      <td>S</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "source": [
    "# Listing 13.3: Passenger no 250\n",
    "train[train[\"PassengerId\"].eq(250)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "     PassengerId  Survived  Pclass  \\\n",
       "249          250         0       2   \n",
       "390          391         1       1   \n",
       "435          436         1       1   \n",
       "763          764         1       1   \n",
       "802          803         1       1   \n",
       "854          855         0       2   \n",
       "\n",
       "                                              Name     Sex   Age  SibSp  \\\n",
       "249                  Carter, Rev. Ernest Courtenay    male  54.0      1   \n",
       "390                     Carter, Mr. William Ernest    male  36.0      1   \n",
       "435                      Carter, Miss. Lucile Polk  female  14.0      1   \n",
       "763      Carter, Mrs. William Ernest (Lucile Polk)  female  36.0      1   \n",
       "802            Carter, Master. William Thornton II    male  11.0      1   \n",
       "854  Carter, Mrs. Ernest Courtenay (Lilian Hughes)  female  44.0      1   \n",
       "\n",
       "     Parch  Ticket   Fare    Cabin Embarked  \n",
       "249      0  244252   26.0      NaN        S  \n",
       "390      2  113760  120.0  B96 B98        S  \n",
       "435      2  113760  120.0  B96 B98        S  \n",
       "763      2  113760  120.0  B96 B98        S  \n",
       "802      2  113760  120.0  B96 B98        S  \n",
       "854      0  244252   26.0      NaN        S  "
      ],
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>PassengerId</th>\n      <th>Survived</th>\n      <th>Pclass</th>\n      <th>Name</th>\n      <th>Sex</th>\n      <th>Age</th>\n      <th>SibSp</th>\n      <th>Parch</th>\n      <th>Ticket</th>\n      <th>Fare</th>\n      <th>Cabin</th>\n      <th>Embarked</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>249</th>\n      <td>250</td>\n      <td>0</td>\n      <td>2</td>\n      <td>Carter, Rev. Ernest Courtenay</td>\n      <td>male</td>\n      <td>54.0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>244252</td>\n      <td>26.0</td>\n      <td>NaN</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>390</th>\n      <td>391</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Mr. William Ernest</td>\n      <td>male</td>\n      <td>36.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>435</th>\n      <td>436</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Miss. Lucile Polk</td>\n      <td>female</td>\n      <td>14.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>763</th>\n      <td>764</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Mrs. William Ernest (Lucile Polk)</td>\n      <td>female</td>\n      <td>36.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>802</th>\n      <td>803</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Master. William Thornton II</td>\n      <td>male</td>\n      <td>11.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>854</th>\n      <td>855</td>\n      <td>0</td>\n      <td>2</td>\n      <td>Carter, Mrs. Ernest Courtenay (Lilian Hughes)</td>\n      <td>female</td>\n      <td>44.0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>244252</td>\n      <td>26.0</td>\n      <td>NaN</td>\n      <td>S</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "source": [
    "# Listing 13.4: Get potential relatives\n",
    "current_passenger = train[train[\"PassengerId\"].eq(250)]\n",
    "last_name = current_passenger.Name.to_string(index=False).split(',')[0]\n",
    "train[train[\"Name\"].str.contains(last_name)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 891 entries, 0 to 890\nData columns (total 12 columns):\n #   Column       Non-Null Count  Dtype  \n---  ------       --------------  -----  \n 0   PassengerId  891 non-null    int64  \n 1   Survived     891 non-null    int64  \n 2   Pclass       891 non-null    int64  \n 3   Name         891 non-null    object \n 4   Sex          891 non-null    object \n 5   Age          714 non-null    float64\n 6   SibSp        891 non-null    int64  \n 7   Parch        891 non-null    int64  \n 8   Ticket       891 non-null    object \n 9   Fare         891 non-null    float64\n 10  Cabin        204 non-null    object \n 11  Embarked     889 non-null    object \ndtypes: float64(2), int64(5), object(5)\nmemory usage: 83.7+ KB\n"
     ]
    }
   ],
   "source": [
    "# Listing 13.5: A look at the data\n",
    "train.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "     PassengerId  Survived  Pclass  \\\n",
       "390          391         1       1   \n",
       "435          436         1       1   \n",
       "763          764         1       1   \n",
       "802          803         1       1   \n",
       "854          855         0       2   \n",
       "\n",
       "                                              Name     Sex   Age  SibSp  \\\n",
       "390                     Carter, Mr. William Ernest    male  36.0      1   \n",
       "435                      Carter, Miss. Lucile Polk  female  14.0      1   \n",
       "763      Carter, Mrs. William Ernest (Lucile Polk)  female  36.0      1   \n",
       "802            Carter, Master. William Thornton II    male  11.0      1   \n",
       "854  Carter, Mrs. Ernest Courtenay (Lilian Hughes)  female  44.0      1   \n",
       "\n",
       "     Parch  Ticket   Fare    Cabin Embarked  \n",
       "390      2  113760  120.0  B96 B98        S  \n",
       "435      2  113760  120.0  B96 B98        S  \n",
       "763      2  113760  120.0  B96 B98        S  \n",
       "802      2  113760  120.0  B96 B98        S  \n",
       "854      0  244252   26.0      NaN        S  "
      ],
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>PassengerId</th>\n      <th>Survived</th>\n      <th>Pclass</th>\n      <th>Name</th>\n      <th>Sex</th>\n      <th>Age</th>\n      <th>SibSp</th>\n      <th>Parch</th>\n      <th>Ticket</th>\n      <th>Fare</th>\n      <th>Cabin</th>\n      <th>Embarked</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>390</th>\n      <td>391</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Mr. William Ernest</td>\n      <td>male</td>\n      <td>36.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>435</th>\n      <td>436</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Miss. Lucile Polk</td>\n      <td>female</td>\n      <td>14.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>763</th>\n      <td>764</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Mrs. William Ernest (Lucile Polk)</td>\n      <td>female</td>\n      <td>36.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>802</th>\n      <td>803</td>\n      <td>1</td>\n      <td>1</td>\n      <td>Carter, Master. William Thornton II</td>\n      <td>male</td>\n      <td>11.0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>113760</td>\n      <td>120.0</td>\n      <td>B96 B98</td>\n      <td>S</td>\n    </tr>\n    <tr>\n      <th>854</th>\n      <td>855</td>\n      <td>0</td>\n      <td>2</td>\n      <td>Carter, Mrs. Ernest Courtenay (Lilian Hughes)</td>\n      <td>female</td>\n      <td>44.0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>244252</td>\n      <td>26.0</td>\n      <td>NaN</td>\n      <td>S</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 9
    }
   ],
   "source": [
    "# Listing 13.6: The possible relatives of Mr. Rev. Ernest Courtenay Carter\n",
    "ticket = current_passenger[\"Ticket\"].to_string(index=False)\n",
    "passengerId = current_passenger[\"PassengerId\"]\n",
    "\n",
    "group = train[\n",
    "    train[\"PassengerId\"].ne(passengerId) & (\n",
    "    train[\"Name\"].str.contains(last_name) |\n",
    "    train[\"Ticket\"].eq(ticket)\n",
    ")]\n",
    "group"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "0 000 Carter, Mr. William Ernest\n1 001 Carter, Miss. Lucile Polk\n2 010 Carter, Mrs. William Ernest (Lucile Polk)\n3 011 Carter, Master. William Thornton II\n4 100 Carter, Mrs. Ernest Courtenay (Lilian Hughes)\n"
     ]
    }
   ],
   "source": [
    "# Listing 13.7: Encoding the passengers\n",
    "# number of qubits to represent considered passengers\n",
    "QUBITS = 3\n",
    "\n",
    "def encode(pos):\n",
    "    bpos = \"{:0{}b}\".format(pos, QUBITS)\n",
    "    return bpos\n",
    "\n",
    "\n",
    "number_of_rows = len(group.index)\n",
    "for pos in range(0, 2**QUBITS):\n",
    "    if pos >= number_of_rows:\n",
    "        break\n",
    "\n",
    "    passenger = group.iloc[[pos]]\n",
    "    print(pos, encode(pos), passenger.Name.to_string(index=False)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "              ┌───┐ ░ \n",
       "passengers_0: ┤ H ├─░─\n",
       "              ├───┤ ░ \n",
       "passengers_1: ┤ H ├─░─\n",
       "              ├───┤ ░ \n",
       "passengers_2: ┤ H ├─░─\n",
       "              └───┘ ░ \n",
       "     rules_0: ──────░─\n",
       "                    ░ \n",
       "     rules_1: ──────░─\n",
       "                    ░ "
      ],
      "text/html": "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">              ┌───┐ ░ \npassengers_0: ┤ H ├─░─\n              ├───┤ ░ \npassengers_1: ┤ H ├─░─\n              ├───┤ ░ \npassengers_2: ┤ H ├─░─\n              └───┘ ░ \n     rules_0: ──────░─\n                    ░ \n     rules_1: ──────░─\n                    ░ </pre>"
     },
     "metadata": {},
     "execution_count": 12
    }
   ],
   "source": [
    "# Listing 13.8: Equal superposition of the Hadamard gates\n",
    "from qiskit import QuantumCircuit, Aer, execute\n",
    "from qiskit import ClassicalRegister, QuantumRegister\n",
    "from qiskit.visualization import plot_histogram\n",
    "import matplotlib.pyplot as plt\n",
    "from math import asin, sqrt\n",
    "\n",
    "RULES=2\n",
    "\n",
    "q_pass = QuantumRegister(QUBITS, name='passengers')\n",
    "q_rules = QuantumRegister(RULES, name='rules')\n",
    "\n",
    "qc = QuantumCircuit(q_pass, q_rules)\n",
    "\n",
    "# put passenger qubits into superposition\n",
    "qc.h(q_pass)\n",
    "qc.barrier()\n",
    "\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.9: The oracle‐function\n",
    "def oracle(passenger, group, q_p, q_r, draw=False):\n",
    "    # Create a sub-circuit\n",
    "    o_qc = QuantumCircuit(q_p, q_r)\n",
    "\n",
    "    # loop through all passengers\n",
    "    for pos in range(0, 2**QUBITS):\n",
    "        if pos >= len(group.index):\n",
    "            break\n",
    "\n",
    "        bpos = encode(pos)\n",
    "        \n",
    "        # select the state representing the passenger\n",
    "        select_state(bpos, o_qc, q_p)\n",
    "\n",
    "        # apply the rules\n",
    "        apply_rules(passenger, group.iloc[[pos]], o_qc, q_p, q_r)\n",
    "\n",
    "        # un-select the state representing the passenger\n",
    "        select_state(bpos, o_qc, q_p)\n",
    "\n",
    "        if draw:\n",
    "            o_qc.barrier()\n",
    "\n",
    "    if draw:\n",
    "        return o_qc.draw()\n",
    "    else:\n",
    "        # We return the oracle as a gate\n",
    "        Oracle = o_qc.to_gate()\n",
    "        Oracle.name = \"oracle\"\n",
    "        return Oracle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.10: The select state function\n",
    "def select_state(bpos, qc, qubits):\n",
    "    for i in range(0, QUBITS):\n",
    "        if bpos[::-1][i] == \"0\":\n",
    "            qc.x(qubits[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.11: Apply the rules\n",
    "from qiskit.circuit.library import ZGate\n",
    "\n",
    "def apply_rules(passenger, current, qc, q_p, q_r):\n",
    "    # apply first rule\n",
    "    if passenger.Ticket.to_string(index=False) == current.Ticket.to_string(index=False):\n",
    "        qc.mcx(q_p, q_r[0])\n",
    "\n",
    "    # apply second rule\n",
    "    if passenger.Name.to_string(index=False).split(',')[0] == current.Name.to_string(index=False).split(',')[0]:\n",
    "        qc.mcx(q_p, q_r[1])\n",
    "\n",
    "    # all conditions must be met\n",
    "    qc.append(ZGate().control(QUBITS+RULES-1), [*q_p, *q_r])\n",
    "\n",
    "    # unapply second rule\n",
    "    if passenger.Name.to_string(index=False).split(',')[0] == current.Name.to_string(index=False).split(',')[0]:\n",
    "        qc.mcx(q_p, q_r[1])\n",
    "\n",
    "    # unapply first rule\n",
    "    if passenger.Ticket.to_string(index=False) == current.Ticket.to_string(index=False):\n",
    "        qc.mcx(q_p, q_r[0])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "              ┌───┐             ┌───┐ ░                         ░ ┌───┐        »\n",
       "passengers_0: ┤ X ├──■───■───■──┤ X ├─░────────■───■───■────────░─┤ X ├──■───■─»\n",
       "              ├───┤  │   │   │  ├───┤ ░ ┌───┐  │   │   │  ┌───┐ ░ └───┘  │   │ »\n",
       "passengers_1: ┤ X ├──■───■───■──┤ X ├─░─┤ X ├──■───■───■──┤ X ├─░────────■───■─»\n",
       "              ├───┤  │   │   │  ├───┤ ░ ├───┤  │   │   │  ├───┤ ░ ┌───┐  │   │ »\n",
       "passengers_2: ┤ X ├──■───■───■──┤ X ├─░─┤ X ├──■───■───■──┤ X ├─░─┤ X ├──■───■─»\n",
       "              └───┘  │   │   │  └───┘ ░ └───┘  │   │   │  └───┘ ░ └───┘  │   │ »\n",
       "     rules_0: ───────┼───■───┼────────░────────┼───■───┼────────░────────┼───■─»\n",
       "                   ┌─┴─┐ │ ┌─┴─┐      ░      ┌─┴─┐ │ ┌─┴─┐      ░      ┌─┴─┐ │ »\n",
       "     rules_1: ─────┤ X ├─■─┤ X ├──────░──────┤ X ├─■─┤ X ├──────░──────┤ X ├─■─»\n",
       "                   └───┘   └───┘      ░      └───┘   └───┘      ░      └───┘   »\n",
       "«                   ┌───┐ ░                         ░ ┌───┐                  »\n",
       "«passengers_0: ──■──┤ X ├─░────────■───■───■────────░─┤ X ├──■────■───■───■──»\n",
       "«                │  └───┘ ░        │   │   │        ░ ├───┤  │    │   │   │  »\n",
       "«passengers_1: ──■────────░────────■───■───■────────░─┤ X ├──■────■───■───■──»\n",
       "«                │  ┌───┐ ░ ┌───┐  │   │   │  ┌───┐ ░ └───┘  │    │   │   │  »\n",
       "«passengers_2: ──■──┤ X ├─░─┤ X ├──■───■───■──┤ X ├─░────────■────■───■───■──»\n",
       "«                │  └───┘ ░ └───┘  │   │   │  └───┘ ░      ┌─┴─┐  │   │   │  »\n",
       "«     rules_0: ──┼────────░────────┼───■───┼────────░──────┤ X ├──┼───■───┼──»\n",
       "«              ┌─┴─┐      ░      ┌─┴─┐ │ ┌─┴─┐      ░      └───┘┌─┴─┐ │ ┌─┴─┐»\n",
       "«     rules_1: ┤ X ├──────░──────┤ X ├─■─┤ X ├──────░───────────┤ X ├─■─┤ X ├»\n",
       "«              └───┘      ░      └───┘   └───┘      ░           └───┘   └───┘»\n",
       "«                   ┌───┐ ░ \n",
       "«passengers_0: ──■──┤ X ├─░─\n",
       "«                │  ├───┤ ░ \n",
       "«passengers_1: ──■──┤ X ├─░─\n",
       "«                │  └───┘ ░ \n",
       "«passengers_2: ──■────────░─\n",
       "«              ┌─┴─┐      ░ \n",
       "«     rules_0: ┤ X ├──────░─\n",
       "«              └───┘      ░ \n",
       "«     rules_1: ───────────░─\n",
       "«                         ░ "
      ],
      "text/html": "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">              ┌───┐             ┌───┐ ░                         ░ ┌───┐        »\npassengers_0: ┤ X ├──■───■───■──┤ X ├─░────────■───■───■────────░─┤ X ├──■───■─»\n              ├───┤  │   │   │  ├───┤ ░ ┌───┐  │   │   │  ┌───┐ ░ └───┘  │   │ »\npassengers_1: ┤ X ├──■───■───■──┤ X ├─░─┤ X ├──■───■───■──┤ X ├─░────────■───■─»\n              ├───┤  │   │   │  ├───┤ ░ ├───┤  │   │   │  ├───┤ ░ ┌───┐  │   │ »\npassengers_2: ┤ X ├──■───■───■──┤ X ├─░─┤ X ├──■───■───■──┤ X ├─░─┤ X ├──■───■─»\n              └───┘  │   │   │  └───┘ ░ └───┘  │   │   │  └───┘ ░ └───┘  │   │ »\n     rules_0: ───────┼───■───┼────────░────────┼───■───┼────────░────────┼───■─»\n                   ┌─┴─┐ │ ┌─┴─┐      ░      ┌─┴─┐ │ ┌─┴─┐      ░      ┌─┴─┐ │ »\n     rules_1: ─────┤ X ├─■─┤ X ├──────░──────┤ X ├─■─┤ X ├──────░──────┤ X ├─■─»\n                   └───┘   └───┘      ░      └───┘   └───┘      ░      └───┘   »\n«                   ┌───┐ ░                         ░ ┌───┐                  »\n«passengers_0: ──■──┤ X ├─░────────■───■───■────────░─┤ X ├──■────■───■───■──»\n«                │  └───┘ ░        │   │   │        ░ ├───┤  │    │   │   │  »\n«passengers_1: ──■────────░────────■───■───■────────░─┤ X ├──■────■───■───■──»\n«                │  ┌───┐ ░ ┌───┐  │   │   │  ┌───┐ ░ └───┘  │    │   │   │  »\n«passengers_2: ──■──┤ X ├─░─┤ X ├──■───■───■──┤ X ├─░────────■────■───■───■──»\n«                │  └───┘ ░ └───┘  │   │   │  └───┘ ░      ┌─┴─┐  │   │   │  »\n«     rules_0: ──┼────────░────────┼───■───┼────────░──────┤ X ├──┼───■───┼──»\n«              ┌─┴─┐      ░      ┌─┴─┐ │ ┌─┴─┐      ░      └───┘┌─┴─┐ │ ┌─┴─┐»\n«     rules_1: ┤ X ├──────░──────┤ X ├─■─┤ X ├──────░───────────┤ X ├─■─┤ X ├»\n«              └───┘      ░      └───┘   └───┘      ░           └───┘   └───┘»\n«                   ┌───┐ ░ \n«passengers_0: ──■──┤ X ├─░─\n«                │  ├───┤ ░ \n«passengers_1: ──■──┤ X ├─░─\n«                │  └───┘ ░ \n«passengers_2: ──■────────░─\n«              ┌─┴─┐      ░ \n«     rules_0: ┤ X ├──────░─\n«              └───┘      ░ \n«     rules_1: ───────────░─\n«                         ░ </pre>"
     },
     "metadata": {},
     "execution_count": 16
    }
   ],
   "source": [
    "# Listing 13.12: Showing the oracle circuit\n",
    "oracle(current_passenger, group, q_pass, q_rules, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.13: The amplifier‐function\n",
    "def amplifier(passenger, q_p, draw=False):\n",
    "    # Create a sub-circuit\n",
    "    a_qc = QuantumCircuit(q_p)\n",
    "    \n",
    "    a_qc.h(q_p)\n",
    "    a_qc.x(q_p)\n",
    "    a_qc.append(ZGate().control(QUBITS-1), q_p)\n",
    "    a_qc.x(q_p)\n",
    "    a_qc.h(q_p)\n",
    "\n",
    "    if draw:\n",
    "        return a_qc.draw()\n",
    "    else:\n",
    "        # We return the oracle as a gate\n",
    "        Amplifier = a_qc.to_gate()\n",
    "        Amplifier.name = \"amplifier\"\n",
    "        return Amplifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "              ┌───┐┌───┐   ┌───┐┌───┐\n",
       "passengers_0: ┤ H ├┤ X ├─■─┤ X ├┤ H ├\n",
       "              ├───┤├───┤ │ ├───┤├───┤\n",
       "passengers_1: ┤ H ├┤ X ├─■─┤ X ├┤ H ├\n",
       "              ├───┤├───┤ │ ├───┤├───┤\n",
       "passengers_2: ┤ H ├┤ X ├─■─┤ X ├┤ H ├\n",
       "              └───┘└───┘   └───┘└───┘"
      ],
      "text/html": "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">              ┌───┐┌───┐   ┌───┐┌───┐\npassengers_0: ┤ H ├┤ X ├─■─┤ X ├┤ H ├\n              ├───┤├───┤ │ ├───┤├───┤\npassengers_1: ┤ H ├┤ X ├─■─┤ X ├┤ H ├\n              ├───┤├───┤ │ ├───┤├───┤\npassengers_2: ┤ H ├┤ X ├─■─┤ X ├┤ H ├\n              └───┘└───┘   └───┘└───┘</pre>"
     },
     "metadata": {},
     "execution_count": 22
    }
   ],
   "source": [
    "# Listing 13.14: Showing the amplifier circuit\n",
    "amplifier(passenger, q_pass, draw=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "              ┌───┐┌─────────┐┌────────────┐\n",
       "passengers_0: ┤ H ├┤0        ├┤0           ├\n",
       "              ├───┤│         ││            │\n",
       "passengers_1: ┤ H ├┤1        ├┤1 amplifier ├\n",
       "              ├───┤│         ││            │\n",
       "passengers_2: ┤ H ├┤2 oracle ├┤2           ├\n",
       "              └───┘│         │└────────────┘\n",
       "     rules_0: ─────┤3        ├──────────────\n",
       "                   │         │              \n",
       "     rules_1: ─────┤4        ├──────────────\n",
       "                   └─────────┘              "
      ],
      "text/html": "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">              ┌───┐┌─────────┐┌────────────┐\npassengers_0: ┤ H ├┤0        ├┤0           ├\n              ├───┤│         ││            │\npassengers_1: ┤ H ├┤1        ├┤1 amplifier ├\n              ├───┤│         ││            │\npassengers_2: ┤ H ├┤2 oracle ├┤2           ├\n              └───┘│         │└────────────┘\n     rules_0: ─────┤3        ├──────────────\n                   │         │              \n     rules_1: ─────┤4        ├──────────────\n                   └─────────┘              </pre>"
     },
     "metadata": {},
     "execution_count": 19
    }
   ],
   "source": [
    "# Listing 13.15: The search‐algorithm\n",
    "qc = QuantumCircuit(q_pass, q_rules)\n",
    "\n",
    "# put passenger qubits into superposition\n",
    "qc.h(q_pass)\n",
    "\n",
    "# Apply the oracle\n",
    "qc.append(oracle(current_passenger, group, q_pass, q_rules), [*q_pass, *q_rules])\n",
    "\n",
    "# Apply the amplifier\n",
    "qc.append(amplifier(current_passenger, q_pass), q_pass)\n",
    "\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"339.685719pt\" version=\"1.1\" viewBox=\"0 0 451.81375 339.685719\" width=\"451.81375pt\" 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>2021-05-14T22:06:43.541707</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.4, 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 0 339.685719 \nL 451.81375 339.685719 \nL 451.81375 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 54.01375 279 \nL 444.61375 279 \nL 444.61375 7.2 \nL 54.01375 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m92e7f54a9f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"83.604659\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 00000 -->\n      <g transform=\"translate(79.618448 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"130.950114\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 00001 -->\n      <g transform=\"translate(126.963903 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"178.295568\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 00010 -->\n      <g transform=\"translate(174.309357 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"225.641023\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 00011 -->\n      <g transform=\"translate(221.654812 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\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=\"272.986477\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 00100 -->\n      <g transform=\"translate(269.000266 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"320.331932\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 00101 -->\n      <g transform=\"translate(316.345721 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"367.677386\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 00110 -->\n      <g transform=\"translate(363.691175 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"415.022841\" xlink:href=\"#m92e7f54a9f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 00111 -->\n      <g transform=\"translate(411.03663 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p74654270dc)\" d=\"M 54.01375 279 \nL 444.61375 279 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m1773251df0\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.01375\" xlink:href=\"#m1773251df0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.0 -->\n      <g transform=\"translate(24.749375 284.318906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p74654270dc)\" d=\"M 54.01375 221.016 \nL 444.61375 221.016 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.01375\" xlink:href=\"#m1773251df0\" y=\"221.016\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.2 -->\n      <g transform=\"translate(24.749375 226.334906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p74654270dc)\" d=\"M 54.01375 163.032 \nL 444.61375 163.032 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.01375\" xlink:href=\"#m1773251df0\" y=\"163.032\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.4 -->\n      <g transform=\"translate(24.749375 168.350906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p74654270dc)\" d=\"M 54.01375 105.048 \nL 444.61375 105.048 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.01375\" xlink:href=\"#m1773251df0\" y=\"105.048\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.6 -->\n      <g transform=\"translate(24.749375 110.366906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p74654270dc)\" d=\"M 54.01375 47.064 \nL 444.61375 47.064 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.01375\" xlink:href=\"#m1773251df0\" y=\"47.064\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.8 -->\n      <g transform=\"translate(24.749375 52.382906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- Probabilities -->\n     <g transform=\"translate(17.837813 185.855781)rotate(-90)scale(0.14 -0.14)\">\n      <defs>\n       <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n       <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n       <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n       <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n       <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n       <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n       <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n       <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n       <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n       <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-80\"/>\n      <use x=\"58.552734\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"97.416016\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"158.597656\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"222.074219\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"283.353516\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"346.830078\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"374.613281\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"402.396484\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"430.179688\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"469.388672\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"497.171875\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"558.695312\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 71.768295 279 \nL 95.441023 279 \nL 95.441023 269.94 \nL 71.768295 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 119.11375 279 \nL 142.786477 279 \nL 142.786477 269.94 \nL 119.11375 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 166.459205 279 \nL 190.131932 279 \nL 190.131932 269.94 \nL 166.459205 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 213.804659 279 \nL 237.477386 279 \nL 237.477386 269.94 \nL 213.804659 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 261.150114 279 \nL 284.822841 279 \nL 284.822841 52.5 \nL 261.150114 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 308.495568 279 \nL 332.168295 279 \nL 332.168295 269.94 \nL 308.495568 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 355.841023 279 \nL 379.51375 279 \nL 379.51375 269.94 \nL 355.841023 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#p74654270dc)\" d=\"M 403.186477 279 \nL 426.859205 279 \nL 426.859205 269.94 \nL 403.186477 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 54.01375 279 \nL 54.01375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 444.61375 279 \nL 444.61375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 54.01375 279 \nL 444.61375 279 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 54.01375 7.2 \nL 444.61375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- 0.031 -->\n    <g transform=\"translate(69.290597 267.407312)scale(0.1 -0.1)\">\n     <defs>\n      <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <!-- 0.031 -->\n    <g transform=\"translate(116.636051 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- 0.031 -->\n    <g transform=\"translate(163.981506 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <!-- 0.031 -->\n    <g transform=\"translate(211.32696 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- 0.781 -->\n    <g transform=\"translate(258.672415 39.095313)scale(0.1 -0.1)\">\n     <defs>\n      <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-56\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- 0.031 -->\n    <g transform=\"translate(306.017869 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- 0.031 -->\n    <g transform=\"translate(353.363324 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- 0.031 -->\n    <g transform=\"translate(400.708778 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p74654270dc\">\n   <rect height=\"271.8\" width=\"390.6\" x=\"54.01375\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {},
     "execution_count": 20
    }
   ],
   "source": [
    "# Listing 13.16: Result of the search algorithm\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result()\n",
    "plot_histogram(results.get_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.17: Apply the amplifier multiple times\n",
    "def rounds(number_of_rounds, qc, current_passenger, group, q_pass, q_rules):\n",
    "    print (\"{} iterations\".format(number_of_rounds))\n",
    "    for i in range(0,round(number_of_rounds)):\n",
    "        qc.append(oracle(current_passenger, group, q_pass, q_rules), [*q_pass, *q_rules])\n",
    "        qc.append(amplifier(current_passenger, q_pass), q_pass)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "2.221441469079183 iterations\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "              ┌───┐┌─────────┐┌────────────┐┌─────────┐┌────────────┐\n",
       "passengers_0: ┤ H ├┤0        ├┤0           ├┤0        ├┤0           ├\n",
       "              ├───┤│         ││            ││         ││            │\n",
       "passengers_1: ┤ H ├┤1        ├┤1 amplifier ├┤1        ├┤1 amplifier ├\n",
       "              ├───┤│         ││            ││         ││            │\n",
       "passengers_2: ┤ H ├┤2 oracle ├┤2           ├┤2 oracle ├┤2           ├\n",
       "              └───┘│         │└────────────┘│         │└────────────┘\n",
       "     rules_0: ─────┤3        ├──────────────┤3        ├──────────────\n",
       "                   │         │              │         │              \n",
       "     rules_1: ─────┤4        ├──────────────┤4        ├──────────────\n",
       "                   └─────────┘              └─────────┘              "
      ],
      "text/html": "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">              ┌───┐┌─────────┐┌────────────┐┌─────────┐┌────────────┐\npassengers_0: ┤ H ├┤0        ├┤0           ├┤0        ├┤0           ├\n              ├───┤│         ││            ││         ││            │\npassengers_1: ┤ H ├┤1        ├┤1 amplifier ├┤1        ├┤1 amplifier ├\n              ├───┤│         ││            ││         ││            │\npassengers_2: ┤ H ├┤2 oracle ├┤2           ├┤2 oracle ├┤2           ├\n              └───┘│         │└────────────┘│         │└────────────┘\n     rules_0: ─────┤3        ├──────────────┤3        ├──────────────\n                   │         │              │         │              \n     rules_1: ─────┤4        ├──────────────┤4        ├──────────────\n                   └─────────┘              └─────────┘              </pre>"
     },
     "metadata": {},
     "execution_count": 24
    }
   ],
   "source": [
    "# Listing 13.18: Search algorithm with repeated amplification\n",
    "from math import pi\n",
    "qc = QuantumCircuit(q_pass, q_rules)\n",
    "\n",
    "# put passenger qubits into superposition\n",
    "qc.h(q_pass)\n",
    "rounds(pi*sqrt(2**QUBITS)/4, qc, current_passenger, group, q_pass, q_rules)\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"339.685719pt\" version=\"1.1\" viewBox=\"0 0 460.72125 339.685719\" width=\"460.72125pt\" 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>2021-05-14T22:13:00.900672</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.4, 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 0 339.685719 \nL 460.72125 339.685719 \nL 460.72125 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 62.92125 279 \nL 453.52125 279 \nL 453.52125 7.2 \nL 62.92125 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mffc358af57\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"92.512159\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 00000 -->\n      <g transform=\"translate(88.525948 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"139.857614\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 00001 -->\n      <g transform=\"translate(135.871403 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"187.203068\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 00010 -->\n      <g transform=\"translate(183.216857 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"234.548523\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 00011 -->\n      <g transform=\"translate(230.562312 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\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=\"281.893977\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 00100 -->\n      <g transform=\"translate(277.907766 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"329.239432\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 00101 -->\n      <g transform=\"translate(325.253221 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"376.584886\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 00110 -->\n      <g transform=\"translate(372.598675 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"423.930341\" xlink:href=\"#mffc358af57\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 00111 -->\n      <g transform=\"translate(419.94413 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#pcbaccd293f)\" d=\"M 62.92125 279 \nL 453.52125 279 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"md7b1cc36a6\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#md7b1cc36a6\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.00 -->\n      <g transform=\"translate(24.749375 284.318906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#pcbaccd293f)\" d=\"M 62.92125 219.099174 \nL 453.52125 219.099174 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#md7b1cc36a6\" y=\"219.099174\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.25 -->\n      <g transform=\"translate(24.749375 224.41808)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n        <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#pcbaccd293f)\" d=\"M 62.92125 159.198347 \nL 453.52125 159.198347 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#md7b1cc36a6\" y=\"159.198347\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.50 -->\n      <g transform=\"translate(24.749375 164.517253)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#pcbaccd293f)\" d=\"M 62.92125 99.297521 \nL 453.52125 99.297521 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#md7b1cc36a6\" y=\"99.297521\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.75 -->\n      <g transform=\"translate(24.749375 104.616427)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#pcbaccd293f)\" d=\"M 62.92125 39.396694 \nL 453.52125 39.396694 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#md7b1cc36a6\" y=\"39.396694\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 1.00 -->\n      <g transform=\"translate(24.749375 44.7156)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- Probabilities -->\n     <g transform=\"translate(17.837813 185.855781)rotate(-90)scale(0.14 -0.14)\">\n      <defs>\n       <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n       <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n       <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n       <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n       <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n       <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n       <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n       <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n       <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n       <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-80\"/>\n      <use x=\"58.552734\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"97.416016\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"158.597656\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"222.074219\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"283.353516\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"346.830078\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"374.613281\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"402.396484\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"430.179688\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"469.388672\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"497.171875\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"558.695312\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 80.675795 279 \nL 104.348523 279 \nL 104.348523 277.128099 \nL 80.675795 277.128099 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 128.02125 279 \nL 151.693977 279 \nL 151.693977 277.128099 \nL 128.02125 277.128099 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 175.366705 279 \nL 199.039432 279 \nL 199.039432 277.128099 \nL 175.366705 277.128099 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 222.712159 279 \nL 246.384886 279 \nL 246.384886 277.128099 \nL 222.712159 277.128099 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 270.057614 279 \nL 293.730341 279 \nL 293.730341 52.5 \nL 270.057614 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 317.403068 279 \nL 341.075795 279 \nL 341.075795 277.128099 \nL 317.403068 277.128099 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 364.748523 279 \nL 388.42125 279 \nL 388.42125 277.128099 \nL 364.748523 277.128099 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#pcbaccd293f)\" d=\"M 412.093977 279 \nL 435.766705 279 \nL 435.766705 277.128099 \nL 412.093977 277.128099 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 62.92125 279 \nL 62.92125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 453.52125 279 \nL 453.52125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 62.92125 279 \nL 453.52125 279 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 62.92125 7.2 \nL 453.52125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- 0.008 -->\n    <g transform=\"translate(78.198097 274.954817)scale(0.1 -0.1)\">\n     <defs>\n      <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <!-- 0.008 -->\n    <g transform=\"translate(125.543551 274.954817)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- 0.008 -->\n    <g transform=\"translate(172.889006 274.954817)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <!-- 0.008 -->\n    <g transform=\"translate(220.23446 274.954817)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- 0.945 -->\n    <g transform=\"translate(267.579915 39.095313)scale(0.1 -0.1)\">\n     <defs>\n      <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n      <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-57\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-52\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- 0.008 -->\n    <g transform=\"translate(314.925369 274.954817)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- 0.008 -->\n    <g transform=\"translate(362.270824 274.954817)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- 0.008 -->\n    <g transform=\"translate(409.616278 274.954817)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pcbaccd293f\">\n   <rect height=\"271.8\" width=\"390.6\" x=\"62.92125\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {},
     "execution_count": 25
    }
   ],
   "source": [
    "# Listing 13.19: Results of the repeated amplification\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result()\n",
    "plot_histogram(results.get_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.20: Running a circuit with 10 passenger‐qubits\n",
    "# CAUTION: THIS CIRCUIT TAKES SOME TIME\n",
    "QUBITS=10\n",
    "\n",
    "q_pass = QuantumRegister(QUBITS, name='passengers')\n",
    "q_rules = QuantumRegister(RULES, name='rules')\n",
    "qc = QuantumCircuit(q_pass, q_rules)\n",
    "\n",
    "# put passenger qubits into superposition\n",
    "qc.h(q_pass)\n",
    "rounds(pi*sqrt(2**QUBITS)/4, qc, current_passenger, group, q_pass, q_rules)\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result()\n",
    "\"Probability of finding '100': {}\".format(results.get_counts()['000000000100'])"
   ]
  },
  {
   "source": [
    "## Section 13.2: Multiple Results"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.21: Prepare the search\n",
    "def prepare_group(passengerId):\n",
    "    current_passenger = train[train[\"PassengerId\"].eq(passengerId)]\n",
    "    last_name = current_passenger.Name.to_string(index=False).split(',')[0]\n",
    "    train[train[\"Name\"].str.contains(last_name)]\n",
    "\n",
    "    ticket = current_passenger[\"Ticket\"].to_string(index=False)\n",
    "    passengerId = current_passenger[\"PassengerId\"]\n",
    "\n",
    "    group = train[\n",
    "        train[\"PassengerId\"].ne(passengerId) & (\n",
    "        train[\"Name\"].str.contains(last_name) |\n",
    "        train[\"Ticket\"].eq(ticket)\n",
    "    )]\n",
    "    return (current_passenger, group)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.22: Run the search for a passenger's relatives\n",
    "def find_relatives(current_passenger, group):\n",
    "    q_pass = QuantumRegister(QUBITS, name='passengers')\n",
    "    q_rules = QuantumRegister(RULES, name='rules')\n",
    "    qc = QuantumCircuit(q_pass, q_rules)\n",
    "\n",
    "    # put passenger qubits into superposition\n",
    "    qc.h(q_pass)\n",
    "    rounds(pi*sqrt(2**QUBITS)/4, qc, current_passenger, group, q_pass, q_rules)\n",
    "    results = execute(qc,Aer.get_backend('statevector_simulator')).result()\n",
    "    return plot_histogram(results.get_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "2.221441469079183 iterations\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"339.685719pt\" version=\"1.1\" viewBox=\"0 0 460.72125 339.685719\" width=\"460.72125pt\" 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>2021-05-14T22:15:02.927377</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.4, 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 0 339.685719 \nL 460.72125 339.685719 \nL 460.72125 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 62.92125 279 \nL 453.52125 279 \nL 453.52125 7.2 \nL 62.92125 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m9a24f8e15f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"92.512159\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 00000 -->\n      <g transform=\"translate(88.525948 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"139.857614\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 00001 -->\n      <g transform=\"translate(135.871403 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"187.203068\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 00010 -->\n      <g transform=\"translate(183.216857 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"234.548523\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 00011 -->\n      <g transform=\"translate(230.562312 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\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=\"281.893977\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 00100 -->\n      <g transform=\"translate(277.907766 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"329.239432\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 00101 -->\n      <g transform=\"translate(325.253221 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"376.584886\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 00110 -->\n      <g transform=\"translate(372.598675 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"423.930341\" xlink:href=\"#m9a24f8e15f\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 00111 -->\n      <g transform=\"translate(419.94413 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p8bb1215175)\" d=\"M 62.92125 279 \nL 453.52125 279 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mb1d438bde3\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#mb1d438bde3\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.00 -->\n      <g transform=\"translate(24.749375 284.318906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p8bb1215175)\" d=\"M 62.92125 221.016 \nL 453.52125 221.016 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#mb1d438bde3\" y=\"221.016\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.05 -->\n      <g transform=\"translate(24.749375 226.334906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p8bb1215175)\" d=\"M 62.92125 163.032 \nL 453.52125 163.032 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#mb1d438bde3\" y=\"163.032\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.10 -->\n      <g transform=\"translate(24.749375 168.350906)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p8bb1215175)\" d=\"M 62.92125 105.048 \nL 453.52125 105.048 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#mb1d438bde3\" y=\"105.048\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.15 -->\n      <g transform=\"translate(24.749375 110.366906)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p8bb1215175)\" d=\"M 62.92125 47.064 \nL 453.52125 47.064 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#mb1d438bde3\" y=\"47.064\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.20 -->\n      <g transform=\"translate(24.749375 52.382906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- Probabilities -->\n     <g transform=\"translate(17.837813 185.855781)rotate(-90)scale(0.14 -0.14)\">\n      <defs>\n       <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n       <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n       <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n       <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n       <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n       <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n       <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n       <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n       <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n       <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-80\"/>\n      <use x=\"58.552734\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"97.416016\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"158.597656\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"222.074219\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"283.353516\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"346.830078\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"374.613281\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"402.396484\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"430.179688\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"469.388672\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"497.171875\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"558.695312\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 80.675795 279 \nL 104.348523 279 \nL 104.348523 52.5 \nL 80.675795 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 128.02125 279 \nL 151.693977 279 \nL 151.693977 269.94 \nL 128.02125 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 175.366705 279 \nL 199.039432 279 \nL 199.039432 269.94 \nL 175.366705 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 222.712159 279 \nL 246.384886 279 \nL 246.384886 269.94 \nL 222.712159 269.94 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 270.057614 279 \nL 293.730341 279 \nL 293.730341 52.5 \nL 270.057614 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 317.403068 279 \nL 341.075795 279 \nL 341.075795 52.5 \nL 317.403068 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 364.748523 279 \nL 388.42125 279 \nL 388.42125 52.5 \nL 364.748523 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#p8bb1215175)\" d=\"M 412.093977 279 \nL 435.766705 279 \nL 435.766705 52.5 \nL 412.093977 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 62.92125 279 \nL 62.92125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 453.52125 279 \nL 453.52125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 62.92125 279 \nL 453.52125 279 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 62.92125 7.2 \nL 453.52125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- 0.195 -->\n    <g transform=\"translate(78.198097 39.095313)scale(0.1 -0.1)\">\n     <defs>\n      <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <!-- 0.008 -->\n    <g transform=\"translate(125.543551 267.407312)scale(0.1 -0.1)\">\n     <defs>\n      <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n     </defs>\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- 0.008 -->\n    <g transform=\"translate(172.889006 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <!-- 0.008 -->\n    <g transform=\"translate(220.23446 267.407312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- 0.195 -->\n    <g transform=\"translate(267.579915 39.095313)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- 0.195 -->\n    <g transform=\"translate(314.925369 39.095313)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- 0.195 -->\n    <g transform=\"translate(362.270824 39.095313)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- 0.195 -->\n    <g transform=\"translate(409.616278 39.095313)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-53\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p8bb1215175\">\n   <rect height=\"271.8\" width=\"390.6\" x=\"62.92125\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {},
     "execution_count": 28
    }
   ],
   "source": [
    "# Listing 13.23: Search for the relatives of Mr. William Ernest Carter\n",
    "QUBITS=3\n",
    "(current_passenger, group) = prepare_group(391)\n",
    "find_relatives(current_passenger, group)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 13.24: Run the search for mutliple relatives\n",
    "def find_relatives(current_passenger, group, cnt_searched):\n",
    "    q_pass = QuantumRegister(QUBITS, name='passengers')\n",
    "    q_rules = QuantumRegister(RULES, name='rules')\n",
    "    qc = QuantumCircuit(q_pass, q_rules)\n",
    "\n",
    "    # put passenger qubits into superposition\n",
    "    qc.h(q_pass)\n",
    "    rounds(pi/4*sqrt(2**QUBITS/cnt_searched), qc, current_passenger, group, q_pass, q_rules)\n",
    "    results = execute(qc,Aer.get_backend('statevector_simulator')).result()\n",
    "    return plot_histogram(results.get_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "1.282549830161864 iterations\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"339.685719pt\" version=\"1.1\" viewBox=\"0 0 460.72125 339.685719\" width=\"460.72125pt\" 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>2021-05-14T22:21:40.147218</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.3.4, 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 0 339.685719 \nL 460.72125 339.685719 \nL 460.72125 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 62.92125 279 \nL 453.52125 279 \nL 453.52125 7.2 \nL 62.92125 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mcdf9c85cc0\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"92.512159\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 00000 -->\n      <g transform=\"translate(88.525948 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"139.857614\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 00001 -->\n      <g transform=\"translate(135.871403 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"187.203068\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 00010 -->\n      <g transform=\"translate(183.216857 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"234.548523\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 00011 -->\n      <g transform=\"translate(230.562312 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\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=\"281.893977\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 00100 -->\n      <g transform=\"translate(277.907766 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"329.239432\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 00101 -->\n      <g transform=\"translate(325.253221 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"376.584886\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 00110 -->\n      <g transform=\"translate(372.598675 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"423.930341\" xlink:href=\"#mcdf9c85cc0\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 00111 -->\n      <g transform=\"translate(419.94413 331.489906)rotate(-70)scale(0.14 -0.14)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#pd96315dfa7)\" d=\"M 62.92125 279 \nL 453.52125 279 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m3a0ee1eef1\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#m3a0ee1eef1\" y=\"279\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.00 -->\n      <g transform=\"translate(24.749375 284.318906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#pd96315dfa7)\" d=\"M 62.92125 214.573333 \nL 453.52125 214.573333 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#m3a0ee1eef1\" y=\"214.573333\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.08 -->\n      <g transform=\"translate(24.749375 219.89224)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#pd96315dfa7)\" d=\"M 62.92125 150.146667 \nL 453.52125 150.146667 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#m3a0ee1eef1\" y=\"150.146667\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.16 -->\n      <g transform=\"translate(24.749375 155.465573)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#pd96315dfa7)\" d=\"M 62.92125 85.72 \nL 453.52125 85.72 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#m3a0ee1eef1\" y=\"85.72\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.24 -->\n      <g transform=\"translate(24.749375 91.038906)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n        <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#pd96315dfa7)\" d=\"M 62.92125 21.293333 \nL 453.52125 21.293333 \n\" style=\"fill:none;stroke:#b0b0b0;stroke-dasharray:2.96,1.28;stroke-dashoffset:0;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"62.92125\" xlink:href=\"#m3a0ee1eef1\" y=\"21.293333\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.32 -->\n      <g transform=\"translate(24.749375 26.61224)scale(0.14 -0.14)\">\n       <defs>\n        <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- Probabilities -->\n     <g transform=\"translate(17.837813 185.855781)rotate(-90)scale(0.14 -0.14)\">\n      <defs>\n       <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n       <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n       <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n       <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n       <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n       <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n       <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n       <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n       <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n       <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-80\"/>\n      <use x=\"58.552734\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"97.416016\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"158.597656\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"222.074219\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"283.353516\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"346.830078\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"374.613281\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"402.396484\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"430.179688\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"469.388672\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"497.171875\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"558.695312\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 80.675795 279 \nL 104.348523 279 \nL 104.348523 253.833333 \nL 80.675795 253.833333 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 128.02125 279 \nL 151.693977 279 \nL 151.693977 52.5 \nL 128.02125 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 175.366705 279 \nL 199.039432 279 \nL 199.039432 52.5 \nL 175.366705 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 222.712159 279 \nL 246.384886 279 \nL 246.384886 52.5 \nL 222.712159 52.5 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 270.057614 279 \nL 293.730341 279 \nL 293.730341 253.833333 \nL 270.057614 253.833333 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 317.403068 279 \nL 341.075795 279 \nL 341.075795 253.833333 \nL 317.403068 253.833333 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 364.748523 279 \nL 388.42125 279 \nL 388.42125 253.833333 \nL 364.748523 253.833333 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#pd96315dfa7)\" d=\"M 412.093977 279 \nL 435.766705 279 \nL 435.766705 253.833333 \nL 412.093977 253.833333 \nz\n\" style=\"fill:#648fff;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 62.92125 279 \nL 62.92125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 453.52125 279 \nL 453.52125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path d=\"M 62.92125 279 \nL 453.52125 279 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path d=\"M 62.92125 7.2 \nL 453.52125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- 0.031 -->\n    <g transform=\"translate(78.198097 250.495312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <!-- 0.281 -->\n    <g transform=\"translate(125.543551 39.095313)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-56\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- 0.281 -->\n    <g transform=\"translate(172.889006 39.095313)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-56\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <!-- 0.281 -->\n    <g transform=\"translate(220.23446 39.095313)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-56\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <!-- 0.031 -->\n    <g transform=\"translate(267.579915 250.495312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <!-- 0.031 -->\n    <g transform=\"translate(314.925369 250.495312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_21\">\n    <!-- 0.031 -->\n    <g transform=\"translate(362.270824 250.495312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n   <g id=\"text_22\">\n    <!-- 0.031 -->\n    <g transform=\"translate(409.616278 250.495312)scale(0.1 -0.1)\">\n     <use xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"159.033203\" xlink:href=\"#DejaVuSans-51\"/>\n     <use x=\"222.65625\" xlink:href=\"#DejaVuSans-49\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pd96315dfa7\">\n   <rect height=\"271.8\" width=\"390.6\" x=\"62.92125\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAc0AAAFTCAYAAABbKVcuAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAtjUlEQVR4nO3dfXxU5Zn/8c8lkYgNWEAJEEBgQeRBozFujCLgA3W1W3+t7fpQW+u29aG6WtvVut1aW61au3Z9aLvUlrX1qVvt2rVqra5tLWCQDQZaKqCAJSBEAQVUUAgGr98f9wkdh0lyApk5c5Lv+/WaFzPn3HPynTPDXHPOuc99zN0RERGRju2TdAAREZG0UNEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRFBERiakk6QBJOvDAA33kyJFJxxARkSKyYMGC1939oFzzenTRHDlyJA0NDUnHEBGRImJmq9uap92zIiIiMaloioiIxKSiKSIiEpOKpoiISEwqmiIiIjGpaIqIiMSkoikiIhKTiqaIiEhMBS+aZnaJmTWa2XYzW2Bmx7fTdqqZPWtmG81sm5m9aGZXZrW5wMyeMbPNZvaGmf3BzCbn/5WIiEhPU9CiaWZnAXcANwFHAs8CT5jZiDaeshX4HjAFmADcAFxnZpdktJkGPAicCNQAy4D/NbOx+XgNIiLSc5m7F+6PmdUDf3b3CzKmrQAecvevxlzG/wDN7n5OG/MNeBW40d2/396yqqurXcPoiYhIJjNb4O7VueYVbEvTzHoDRwFPZc16Cjg25jKOjNrObqdZb2A/YPMexBQREWlTIQdsPxDoBazPmr4eOLm9J5rZWuAgQt7r3P3OdprfQNit+2gby7oQuBBg6NChzJo1C4DRo0fTt29fFi1aBMDAgQOZOHEic+bMAaCkpITJkyezcOFC3nrrLQCqq6tZv349a9asAWDs2LGUlpayePFiAAYNGsQhhxxCXV0dAKWlpdTW1tLQ0MDWrVsBqKmpYe3atTQ1NQEwbtw4evXqxdKlSwEYPHgwo0aNYt68eQD06dOHmpoa6uvr2bZtGwC1tbU0Njaybt06ACZMmMDOnTtZtmwZABUVFQwbNoz6+noAysrKqK6uZt68eTQ3NwMwefJkli9fzoYNGwCYNGkSzc3NrFixAoDhw4dTXl6+a4D7fv36UVVVRV1dHS0tLQBMmTKFJUuWsHHjRgAqKyvZsmULK1euBMIA+QMGDGDhwoUA9O/fn8rKSmbPno27Y2ZMnTqVRYsWsXlz+M1TVVXFpk2bWLVqld4nvU96n/Q+FeR9ak/Bds+a2VCgCZjq7nMypl8LnOvu49p57iigDDgG+A7wRXe/L0e7LwLfAk529/kdZdLuWRERydbe7tlCbmm+DuwEyrOmlwPr2nuiuzdGd583s3Lgm8D7iqaZXUEomKfGKZgiIiKdVbBjmu6+A1gATM+aNZ3QizaufYDSzAlm9mVCwfywu9ftTU4REZG2FPoi1LcC95nZfGAucDEwFLgTwMzuBXD386LHlwGNhNNIIJx6ciUwo3WBZnYVcCPwKWC5mQ2OZm1z9zfz/YJERKTnKGjRdPcHzWwgcA0wBFgMnOburVfJzj5fsxfhGOZIoAX4C/AvREU2cimwL+FczUz3AOd3YXwREenhCnqeZrFRRyAREclWFOdpioiIpJ2KpoiISEwqmiIiIjGpaPZwTz75JOPGjWPMmDHcfPPNu82/9dZbmTBhAocffjgnnXQSq1ev3jXvK1/5ChMnTmT8+PFcfvnltB4f/9rXvsbw4cMpKytT9m6YXaRHc/ceezvqqKO8J2tpafHRo0f7X/7yF29ubvbDDz/clyxZ8r42Tz/9tL/99tvu7j5jxgw/88wz3d197ty5fuyxx3pLS4u3tLT4Mccc43/4wx/c3X3evHn+yiuv+Ac+8AFl72bZRXoCoMHbqBva0uzB5s+fz5gxYxg9ejS9e/fm7LPP5pFHHnlfmxNOOIH9998fgGOOOYa1a9cCYGZs376dHTt20NzczLvvvkt5efmudkOGDFH2bphdpKdT0ezBmpqaGD58+K7Hw4YN2zWAci533XUXp556KhAGSz7hhBMYMmQIQ4YM4ZRTTmH8+PF5z9xK2ZPJLtLTFXpEIEmp+++/n4aGBmbPDldle+mll3jhhRd2bQFNnz6dZ555huOPPz7JmDkpu4h0FW1p9mAVFRW7Lu8DsHbtWioqKnZr97vf/Y4bb7yRRx99lNLSMOzvww8/zDHHHENZWRllZWWceuqpuy7jo+zdN7tIT6ei2YMdffTRrFixgsbGRnbs2MEDDzzA6aef/r42f/zjH7nooot49NFHGTRo0K7pI0aMYPbs2bS0tPDuu+8ye/bsgu4mVPZksov0eG31EOoJt57ee9bd/fHHH/exY8f66NGj/YYbbnB3969//ev+yCOPuLv7SSed5IMGDfLKykqvrKz0j3zkI+4eeoBeeOGFfuihh/r48eP9S1/60q5lXnXVVV5RUeFm5hUVFf6Nb3xD2btRdpHujnZ6z2rsWY09KyIiGTT2rIiISBdQ0RQREYlJRVNERCQmFU0REZGYVDRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRFBERiUlFU0REJCYVTRERkZh0Eeoe7oLb87v8mVfkd/n5zJ/m7JD//CI9kbY0RUREYlLRFBERiUlFU0REJCYVTRERkZhUNEVERGJS0RQREYlJRVNERCQmFU0REZGYVDRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRFBERiUlFU0REJCYVTRERkZhUNEVERGJS0RQREYlJRVNERCQmFU0REZGYVDRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRFBERiUlFU0REJCYVTRERkZgKXjTN7BIzazSz7Wa2wMyOb6ftGWb2lJm9ZmZbzKzezE5vp/05ZuZm9uv8pBcRkZ6soEXTzM4C7gBuAo4EngWeMLMRbTxlKvA08OGo/W+Ah3MVWjMbDdwCPJOH6CIiIgXf0vwycLe7z3T3F9z9MuBV4Au5Grv7F939Znef7+4vuft1wALgo5ntzGxf4OfA14CVeX0FIiLSYxWsaJpZb+Ao4KmsWU8Bx3ZiUX2BzVnTbgRWufs9e55QRESkfSUF/FsHAr2A9VnT1wMnx1mAmV0KDAPuy5j2IeBM4IiYy7gQuBBg6NChzJo1C4DRo0fTt29fFi1aBMDAgQOZOHEic+bMAaCkpITJkyezcOFC3nrrLQCqq6tZv349a9asAWDs2LGUlpayePFiAAYNGsQhhxxCXV0dAKWlpdTW1tLQ0MDWrVsBqKmpYe3atTQ1NQEwbtw4evXqxdKlSwEYPHgwo0aNYt68eQD06dOHmpoa6uvr2bZtGwC1tbU0Njaybt06ACZMmMDOnTtZtmwZABUVFQwbNoz6+noAysrKqK6ujpZZG2e17bGXX36ZlSvDxv/IkSMZMGAACxcuBKB///5UVlYye/Zs3B0zY+rUqSxatIjNm8PvoqqqKjZt2sSqVauA3d8nmJa37Pl+n/KZHWDWrFn069ePqqoq6urqaGlpAWDKlCksWbKEjRs3AlBZWcmWLVvy+j71lP9Pzc3NAEyePJnly5ezYcMGACZNmkRzczMrVqwAYPjw4ZSXl9PQ0ACg96nI3qf2mLu326CrmNlQoAmY6u5zMqZfC5zr7uM6eP7HCcXyLHd/LJp2ELAIOMfdZ0fT7gYOdPe/7yhTdXW1t35oe6oLbs/v8mdekd/l5zN/mrND/vOLdFdmtsDdq3PNK+SW5uvATqA8a3o5sG735n9lZp8A7gXOay2YkYnAEOD3ZtY6bZ/oOS3ARHdftvfRRURECnhM0913EDrxTM+aNZ3QizYnMzuTsIV5vrs/lDX7OeAwwq7Z1tujhB60RwCNex1cREQkUsgtTYBbgfvMbD4wF7gYGArcCWBm9wK4+3nR47MJBfNKYI6ZDY6Ws8PdN7n728DizD9gZm8AJe7+vukiIiJ7q6BF090fNLOBwDWE3aqLgdPcfXXUJPt8zYsJGW+Pbq1mk+9eFCIiIlkKvaWJu88AZrQxb1p7j2Mu//w9ySUiItIRjT0rIiISk4qmiIhITCqaIiIiMaloioiIxKSiKSIiEpOKpoiISEwqmiIiIjGpaIqIiMSkoikiIhKTiqaIiEhMKpoiIiIxdapomtk+ZrZPxuPBZvZ5Mzuu66OJiIgUl85uaT4OXAZgZmVAA3ALMMvMzuvibCIiIkWls0WzGng6un8G8BYwCLiAcM1LERGRbquzRbMMeCO6/yHgYXd/l1BI/6YLc4mIiBSdzhbNl4HjzOwDwCnAb6PpA4B3ujKYiIhIsensRahvBe4DtgKrgTnR9CnA812YS0REpOh0qmi6+4/MbAEwHPitu78XzfoL8PWuDiciIlJMOrulibs3EHrNZk57vMsSiYiIFKlOD25gZpeY2RIze8fMRkfTrjazM7s+noiISPHo7OAGVwDXAD8GLGPWK8A/dV0sERGR4tPZLc2LgQvc/Q6gJWP6QmBil6USEREpQp0tmgcDi3NMfxfos/dxREREildni+ZKoCrH9NOApXsfR0REpHh1tvfsd4EfmNn+hGOatWb2aeArwGe7OpyIiEgx6ex5mj81sxLgJmB/wkAHrwCXu/uDecgnIiJSNPbkPM2ZwEwzOxDYx903dH0sERGR4tPpotnK3V/vyiAiIiLFrsOiaWZ/Bqa6+2Yzex7wttq6++FdGU5ERKSYxNnS/CXQnHG/zaIpIiLSnXVYNN39uoz738xrGhERkSLW2WH0njazD+aY3s/Mnu6yVCIiIkWos4MbTAN655i+H3D8XqcREREpYrF6z5pZ5ihAh5vZpozHvYBTgKauDCYiIlJs4p5y0kDoAOTAUznmbwMu66pQIiIixShu0RxFGDZvJfC3wGsZ83YAG9x9ZxdnExERKSqxiqa7r47udvqi1SIiIt1FnMENzgAec/d3o/ttcvf/6bJkIiIiRSbOluZDwGBgQ3S/LU7oFCQiItItxRncYJ9c90VERHoaFUEREZGY4h7TjEXHNEVEpDuLe0wzDh3TFBGRbq1TxzRFRER6MhVEERGRmHSepoiISEw6T1NERCQmnacpIiISk4qgiIhITJ0ummZWZWb3mllDdLsv63qbIiIi3VKniqaZnQs8BwwBfhPdyoH5Zvapro8nIiJSPOJeT7PVjcDX3f2mzIlm9lXgBuD+rgomIiJSbDq7e/Yg4Bc5pv83MGjv44iIiBSvzhbNPwDTckyfBsze2zAiIiLFrMOiaWZntN6AJ4Bvm9mdZnZ+dLsTuAl4LM4fNLNLzKzRzLab2QIzO76dtkPM7L/M7EUz22lmd7fRrp+Zfc/MXjGzZjN7yczOjJNHREQkrj0dsP3C6Jbp+8CM9hZkZmcBdwCXAHXRv0+Y2QR3fznHU0qB14Gbc/y91mXuC/wW2AScCawFhgHN7WURERHprEIP2P5l4G53nxk9vszM/g74AvDVHH97FXA5gJl9oo1l/iPhWOvx7r4jmraqCzOLiIgABRzcwMx6A0cBT2XNego4di8W/VFgLvB9M1tnZkvN7JvRFqiIiEiX6ewpJ5hZf+BUYATQO3Oeu1/fzlMPJIxNuz5r+nrg5M7myDAaOBH4L+DDwEjgP4Ay4Mrsxma2a9fy0KFDmTVrVljI6NH07duXRYsWATBw4EAmTpzInDlzACgpKWHy5MksXLiQt956C4Dq6mrWr1/PmjVrABg7diylpaUsXrwYgEGDBnHIIYdQV1cHQGlpKbW1tTQ0NLB161YAampqWLt2LU1NTQCMGzeOXr16sXTpUgAGDx7MqFGjmDdvHgB9+vShpqaG+vp6tm3bBkBtbS2NjY2sW7cOgAkTJrBz506WLVsGQEVFBcOGDaO+vh6AsrIyqquro2XW7vmaj+Hll19m5cqVAIwcOZIBAwawcOFCAPr3709lZSWzZ8/G3TEzpk6dyqJFi9i8eTMAVVVVbNq0iVWrVgG7v0+5+6V1jXy/T/nMDjBr1iz69etHVVUVdXV1tLS0ADBlyhSWLFnCxo0bAaisrGTLli15fZ96yv+n5uZwVGjy5MksX76cDRs2ADBp0iSam5tZsWIFAMOHD6e8vJyGhgYAvU9F9j61x9y93Qbva2x2DPA44XjhQUATYaCDZmCVux/eznOHRu2nuvucjOnXAue6+7gO/vavgdfd/fys6cuB/YBR7r4zmnYhcBtQ5u28wOrqam/90PZUF9ye3+XPvCK/y89n/jRnh/znF+muzGyBu1fnmtfZ3bO3AD8DKoDthC28EUAD8J0Onvs6sJMwglCmcmDd7s1jexVY3lowIy8A+xO2bkVERLpEZ4vm4cAPoq23nUCpu68Hrga+2d4To046C4DpWbOmA892MkemucAYM8t8LYcA7xAKtYiISJfobNHckXF/PXBwdH8rMDTG828Fzjezz5vZeDO7I3renQDRQPD3Zj7BzI4wsyOAfsCA6PGEjCY/BAYAd5jZODM7BbgOmNHerlkREZHO6mxHoIXA0cByYBZwg5mVA58C/tzRk939QTMbCFxDOBa6GDjN3VdHTUbkeNofsx5/BFhN6PCDu68xsw8RCvKfCLt6f0IYC1dERKTLdLZofg3oG92/BriXMKjBcsL5kh1y9xm0MQiCu0/LMc1iLPP/2LvTVkRERDrUqaLp7g0Z918jnHoiIiLSI3T6PE0AM/sbYHz0cKm7r+y6SCIiIsWpU0UzOh55F3A68N5fJ9uvgc+6+8YuziciIlI0Ott79j+BMcDxhAEF9gOmAKOAme08T0REJPU6u3v2FOAkd5+XMW2umV0E/K7rYomIiBSfzm5pvga8nWP6O4B2zYqISLfW2aJ5PXC7mVW0Toju/3s0T0REpNvqcPesmT0PZI6sMwpYZWZN0ePWcWgHEY55ioiIdEtxjmk+lPcUIiIiKdBh0XT36woRREREpNjt6eAGJwITCLttl7j7rK4MJSIiUow6O7hBBfAwcBTwSjR5qJk1AB9z91fafLKIiEjKdbb37PcI19Ec4+7D3X04MDaa9r2uDiciIlJMOrt7djowzd0bWye4+0ozuxz4fZcmExERKTKd3dKE959+0t40ERGRbqWzRfP3wPfNbHjrBDMbAdyOtjRFRKSb62zRvBz4ALDSzFab2WrgL9G0y7s6nIiISDHp7DHNjcDfAtOAQ6NpL7i7BmsXEZFuL3bRNLNewJtApbv/Fvht3lKJiIgUodi7Z919J7Aa6J2/OCIiIsWrs8c0vwXcbGYH5iOMiIhIMevsMc0rCVc5aTKztWRdW9PdD++qYCIiIsWms0XzIcI5mZaHLCIiIkUtVtE0s/2BW4CPAvsSzsm8zN1fz180ERGR4hL3mOZ1wPnA48DPgZOBH+Ypk4iISFGKu3v2DOBz7v4AgJn9DJhrZr2iXrUiIiLdXtwtzeHAM60P3H0+0AIMzUcoERGRYhS3aPYCdmRNa2EPL2ItIiKSRnGLngH3m1lzxrT9gJlm9k7rBHc/vSvDiYiIFJO4RfOeHNPu78ogIiIixS5W0XT3f8x3EBERkWK3JxehFhER6ZFUNEVERGJS0RQREYlJRVNERCQmFU0REZGYVDRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRFBERiUlFU0REJCYVTRERkZhUNEVERGJS0RQREYlJRVNERCQmFU0REZGYVDRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYip40TSzS8ys0cy2m9kCMzu+g/ZTo3bbzWylmV2cNb+XmX0rY5mNZnaDmZXk95WIiEhPU9CiaWZnAXcANwFHAs8CT5jZiDbajwJ+E7U7Evg28H0z+3hGs6uBS4HLgUOBL0aPv5qnlyEiIj1UobfGvgzc7e4zo8eXmdnfAV8gd5G7GHjF3S+LHr9gZjXAlcAvo2nHAo+5+2PR41Vm9ihQk5dXICIiPVbBtjTNrDdwFPBU1qynCIUvl9oc7f8XqDazfaPHdcAJZnZo9HcmACcStlBFRES6TCG3NA8EegHrs6avB05u4zmDgd/laF8SLe9V4DtAX2Cpme2M5t3o7jNyLdDMLgQuBBg6dCizZs0CYPTo0fTt25dFixYBMHDgQCZOnMicOXMAKCkpYfLkySxcuJC33noLgOrqatavX8+aNWsAGDt2LKWlpSxevBiAQYMGccghh1BXVwdAaWkptbW1NDQ0sHXrVgBqampYu3YtTU1NAIwbN45evXqxdOnSsAIGD2bUqFHMmzcPgD59+lBTU0N9fT3btm0DoLa2lsbGRtatWwfAhAkT2LlzJ8uWLQOgoqKCYcOGUV9fD0BZWRnV1dXRMmvbWPVd4+WXX2blypUAjBw5kgEDBrBw4UIA+vfvT2VlJbNnz8bdMTOmTp3KokWL2Lx5MwBVVVVs2rSJVatWAbu/TzAtb9nz/T7lMzvArFmz6NevH1VVVdTV1dHS0gLAlClTWLJkCRs3bgSgsrKSLVu25PV96in/n5qbmwGYPHkyy5cvZ8OGDQBMmjSJ5uZmVqxYAcDw4cMpLy+noaEBQO9Tkb1P7TF3b7dBVzGzoUATMNXd52RMvxY4193H5XjOcuB+d78+Y9oUYDYw1N1fNbOzgVuAq4AlwBGE46ZXuftd7WWqrq721g9tT3XB7fld/swr8rv8fOZPc3bIf36R7srMFrh7da55hdzSfB3YCZRnTS8H1u3eHKLpudq3RMuDUDC/6+4PRI+fN7ODCcdI2y2aIiIinVGwY5ruvgNYAEzPmjWd0Ds2l3lttG9w93ejx/sTinGmnegcVBER6WKF7j17K3Cfmc0H5hJ6xw4F7gQws3sB3P28qP2dwD+Z2e3Aj4DjgPOBczKW+RjwL2bWSNg9eyShl+69eX4tIiLSwxS0aLr7g2Y2ELgGGAIsBk5z99VRkxFZ7RvN7DTgNsJpKa8Al7v7LzOaXQZ8C5gBDCJ0DpoJXI+IiEgXKvioOVGv1pw9W919Wo5ps4Gqdpa3BbgiuomIiOSNjvuJiIjEpKIpIiISk4qmiIhITCqaIiIiMaloioiIxKSiKSIiEpOKpoiISEwqmiIiIjGpaIqIiMSkoikiIhKTiqaIiEhMKpoiIiIxqWiKiIjEpKIpIiISk4qmiIhITCqaIiIiMaloioiIxKSiKSIiEpOKpoiISEwqmiIiIjGpaIqIiMSkoikiIhKTiuZeevLJJxk3bhxjxozh5ptv3m1+c3MzZ511FmPGjKGmpoZVq1YBMH/+fI444giOOOIIKisrefjhh3c957Of/SyDBg1i0qRJhXoZIp2S5s+9sif3fZP2/KCiuVd27tzJpZdeyhNPPMHSpUv5+c9/ztKlS9/X5q677qJ///689NJLfOlLX+Lqq68GYNKkSTQ0NPCnP/2JJ598kosuuoiWlhYAzj//fJ588smCvx6RONL8uVf25L5v0p6/lYrmXpg/fz5jxoxh9OjR9O7dm7PPPptHHnnkfW0eeeQRPvOZzwDwiU98gt///ve4O/vvvz8lJSUAbN++HTPb9ZwpU6YwYMCAwr0QkU5I8+de2ZP7vkl7/lYqmnuhqamJ4cOH73o8bNgwmpqa2mxTUlLCAQccwMaNGwGor69n4sSJHHbYYdx55527PhQixSzNn3tlT+77Ju35W6loJqimpoYlS5bw3HPP8e1vf5vt27cnHUkk79L8uVf25BRLfhXNvVBRUcGaNWt2PV67di0VFRVttmlpaeHNN99k4MCB72szfvx4ysrKWLx4cf5Di+ylNH/ulT2575u052+lorkXjj76aFasWEFjYyM7duzggQce4PTTT39fm9NPP5177rkHgIceeogTTzwRM6OxsXHXgezVq1fz4osvMnLkyEK/BJFOS/PnXtmT+75Je/5WKpp7oaSkhB/84AeccsopjB8/njPPPJOJEydy7bXX8uijjwLwuc99jo0bNzJmzBhuvfXWXd2s6+rqqKys5IgjjuBjH/sYM2bM4MADDwTgnHPOoba2lmXLljFs2DDuuuuuxF6jSLY0f+6VPbnvm7Tnb2Xuntc/UMyqq6u9oaEh6RiJuuD2/C5/5hX5XX4+86c5O+Q/v0h3ZWYL3L061zxtaYqIiMSkcxy6gLYYpKdJ+2deeyjals/8ac7eSluaIiIiMaloioiIxKSiKSIiEpOKpoiISEwqmiIiIjGpaIqIiMSkoikiIhKTiqaIiEhMKpoiIiIxqWiKiIjEpKIpIiISk4qmiIhITCqaIiIiMaloioiIxKSiKSIiEpOKpoiISEwqmiIiIjGpaIqIiMSkoikiIhKTiqaIiEhMKpoiIiIxFbxomtklZtZoZtvNbIGZHd9B+6lRu+1mttLMLt7bZYqIiOyJghZNMzsLuAO4CTgSeBZ4wsxGtNF+FPCbqN2RwLeB75vZx/d0mSIiInuq0FuaXwbudveZ7v6Cu18GvAp8oY32FwOvuPtlUfuZwD3AlXuxTBERkT1SsKJpZr2Bo4CnsmY9BRzbxtNqc7T/X6DazPbdw2WKiIjsEXP3wvwhs6FAEzDV3edkTL8WONfdx+V4znLgfne/PmPaFGA2MBSwPVjmhcCF0cNxwLIueHmddSDwegJ/tysoe3LSnD/N2SHd+ZW98w5294NyzSgpdJKkufuPgR8nmcHMGty9OskMe0rZk5Pm/GnODunOr+xdq5BF83VgJ1CeNb0cWNfGc9a10b4lWp7twTJFRET2SMGOabr7DmABMD1r1nRCj9dc5rXRvsHd393DZYqIiOyRQu+evRW4z8zmA3MJvWOHAncCmNm9AO5+XtT+TuCfzOx24EfAccD5wDlxl1mkEt09vJeUPTlpzp/m7JDu/MrehQrWEWjXHzS7BPgKMARYDHyptROPmc0CcPdpGe2nArcBE4FXgO+4+51xlykiItJVCl40RURE0kpjz4qIiMSkoikiIhKTimaCzMwy7u+T+VgKR+s+GVrvydF633Mqmsnax8xGA7j7ex4dYNYHOr+iIRiHmNmRkL51n4aMuaR9vUN6cmYzsz5mVmVm08ysl2d0ZjGzoq8DxfQDSx2BEmBmhxEGnT8aeJMwWEM9YcjAPyUYrUNmtp+7b8+aZp6SD5KZHQf8K3AosAPoC8wBfuDuRX1ur5n1c/e3sqalYt2neb1D6tf9hwnrvgIoBQYQhiL9obs/nGS2jpjZQe7+Wta0fdz9vaxpBXsvVDQTYGYrgBcIgzeUEEYwqgY+SBiQ/kZ335BYwHaY2Q1AA7CIcAWa5hxt+rj7toKHi8HMXgZ+S1j324ARwEeA8UAdcLW7L00uYdvM7KfAnwk/sJa6+xs52vR19y2FztaRNK93SP26fxW4lzDgy2vAaODjwKnACuAyd5+VWMB2mNlTwIuEIv+su7+aNd+AA9z9jYIVTnfXrYA34JPAX4B+GdP6EormNdG8HwO9k86aI/uZwHvAJmA+8A1gGjAY6BW12Y9w+bZxSefNkf9soBHokzFtX2AYcC7hy/t/gL5JZ82R/RPRun8xWvc/Av4ROBzYL2rTG/g9cGTSebvLeu8G6/4fonVfkjW9lHAlqF8SCtJBSWfNkf2MaL0/E633R4HrgJNaPyuEjY7lwHGFytXjBmwvAiMI//l2/SL18Ou0AWgws+cJRfM/CR+UYvJ3wE8IRfGThGuWXkH49f1rM5sLVAJnu/tnkgrZjgOAlwljFgPg7u8Ca4GfmVkT8F/AZOCJRBK27WTCer8T+BBwGnAiIftzZjaPMBLWce7+x8RS5pbm9Q7pXve9CD9yP0jG1UI87CF61sy2EQrnaYTXWExOIHwu/h2oIhTLUwjvwSozqyf8WBnu7nMLFaroDwB3Q7MI/+G+YmZ9c8x/lPDL6eRChuqImZUA64FN7v6Mu3/B3QcDnwKagZuAXwF3AL9ILGj7ZhOuv3qLmQ3P7ljgYRfV84ThGouGmfUiFJ3N7l7v7t9y91rgs8ASwo+ZbwHfBR5ILmmbUrneoVus+znAcOCnZnZYdqefqMj/GTgsiXBtiXKuIHzf/NHd73L3TxKGSf0VsD9hz9fNhMJaOElvgvfEG/A1YBXwQ6AG6AeURvMOBt4Ajk06Z1bmfQjHn6qjx72z5vcBriLsTqlKOm87r+McwpfdL4CzCNdUHRjNO5zQMauo1n2UrRwYG93fN2teKXBBtO6PSjprd1rv3WTdTybsDXoSuJqwxTYymndCMX7ftK5rYFB0P3v38r6EXc/vtX4nFeqm3bMFlNHr698IH9QvA58njJc718yGA4cAdV5kPQqj3C/AroPv70b3S8Js32ZmG4C33X1hckk79CCh9+Y/Az8nbNUvNrNRQH/gN8W27gHcfT1hSx8PuzZbt4Lc3ZvN7D3gHXdfkGDM3WR85v+bcBm/LxLW+wrg+WJf79Dmui8B3ivmdQ+7/q/OJRTLC4FLCD9Q3jSzvyH8P36gGNd9tK43RPdbYNcWqLv7u2Y2ENjm7g2FzKXeswWWfcqGmU0h/PKu5q8dDX7p7kV3PdA2TjfZx93fiz7M1wO4+zWJBGxHxn+2zPPTRhI6okwEVgJLgce8yHpARsXxPW/jP2v0xXgV8AF3/0ZBw8VgZge4+5sZj0cAnybsEnyJIl3vrbLzZ80r2nWf63NjZkOBDwMjgTWEz/3TrUWpWHT0mY/aXASUu/v1hUumolkwZjaY0AuvirCbcz7wYOYvvFxFqRhkZR8H/B/wkLvPy2hjhA4f73i4zmlRiopnCbDT3XcmnaczonVsnnWOWub89r5kCs3MxhB2y54AjAKeIxyzf9jd347a7HbOXbHIyj+ScLrMY8Afoq3PzLZFte4zRQWoF9BSrOu6La3HYIspt4pmgZjZ48AYwi7OVwidHlq3cG4BfuruLcX4JZIj+7HAJMJWws3AfcVcgMzsUsLxtHrPOH/UzPaFv+5yK0btZN9ty7nYmNlswulUdcA6Qge4yYRDE98nXOavKD/z0G7+jYQOb//u7juLMb+Z3QgsBJ7K3IJPyWe+rewdbn0WRCEPoPbUG+E/22vAsOjxfoStsmOBmYTC+eWkc3a37FHeyYTOAnOA+4HLgcqsNqXAtcCQpPPuRfahSefNynVC9LnpnzV9KOH83iZgBtH5vcV2S3P+jM/NHwnnOH4XmJrVpg/wPWBE0nnTll1bmgVgZt8Eprj7iTnm9QMuA74atSmqTjRpzg5gZrcReij/jrB7uRzYSugANJdQkMoJu976ufvWhKLuJuXZryTs0j/BQyex1k5L70XzPwX8B/Axd386wag5pTm/mf0bYYjOBwl7hCYRztNcTzjl7THCKRv/RxhNp2iOJachu4pmAZjZZOBh4NPu/mSO+SXAb4An3P22QudrT5qzA5jZfYRz7C43s96ELefpwJGEXW/rCeOhNrr79OSS7i7l2ScQzs+8wt1/ljF917E/M3sE+JMXWQcaSHd+M/sJocB/LtqNXwXUEorRWMLxzVHAc+5+WnJJd5eK7ElvjveEG2F3wr2EY4D/QjjR+wMZ8z9IGF3kjKSzdqfsUb5JwKk5pg8idPK4m7A76LSks3az7L0II7lsJIxwdRrReZnR/MGE3pufSDprd8sfZZuWY/oBhN3O1xfx56bos2tLs0CiczC/ShjpZzOhJ+E6wrlrtYSxWscll7Btac4OYWvYow4nhEEa3vO/7mb7COHqMgckGrINKc9eSth9fzrhx9dawpBubxJ2O/dx96rkErYv7flbZXcaiz43P3f3smSTdawYs6toFpiZHU4Yeu5YwqkP/QlXH7jV3Z9PMltH0pw9W+vpG8BDhOOBRTVsYXvSlt3MDgX+HjiC8JkZQjhO+0N3b0wwWixpz58pKkIzgAHufmbSeTqjWLKraOZR9Ev1cMJo/VsIYzw2eDRwgZmNIwynt8OL7I1Ic3Z4X/6PEbYMlhB2Ma9x97czBmUoIXQo2Jhg3PdJc/ZWUceZfTzr1AbLcX3EYpTm/NmdltqY39dzXN4saWnIrqKZR2b2PULReZVw4deRhN2ajxDOUVudXLr2pTk75Mx/MOEc018Bt7v7yuTStS/l2Y/yrOHkok5Mnl2AilGa87eRvTjObexAqrIndTC1u9+ACcBbhMvYtA5MfRChM00j4UK8FxH9cCmmW5qzdyL/hYRdnEX1GlKefSyhk8Zi4Fayri0ZZe4N/C3Feb3Y1OaPmX1fZe+CvEkH6K434F+BORmPs0fpv4kw1mxRnZSe9uxpz5/y7NcSBmK/jXCsu4lwPt1XCNc8BKiIviCHJZ23O+VX9sLddD3N/HkBGBKNX4mHHpAlZrZfNH8m8A7hBOpik+bskO78ac4+jnDO7ncIl8v6V8LWw6eAeWb2GPAj4AV3X5tYyralOb+yF4guDZY/c4AW4Ndmdi3wiIerpbcAuHtjtM++OcGMbUlzdkh3/lRmjzolPQ4c7KGz2DpgSfSFN45wfu8UQrG/ILGgbUhzfmUvLHUEyiMLl+G5jXAJpLWEK5s8Hd2/FPgk4WKwbycWsg1pzg7pzp/m7K3MbF/fvefpGYTTZMrc/Z1kksWT5vzKnl8qmnlm4UKpf08Y/mw04ddTf8IQXT9y9wcSjNeuNGeHdOdPW3Zr40of0ZbETnd3M/suUO3u0woesANpzq/shaWimQdmNoxwKS2AtwkX2d1G+PIrIxyTet3dNyWTsG1pzg7pzt9Nshuhw8Yyz7iQejQgw/8Dmtz9uWRSti3N+ZW9sFQ0u5iZfQH4LFBJ+JJbSdit9gfChZvXJBivXWnODunO342yv00YiGEtoQfkr9x9WYLxOpTm/MpeeOo924WiXWo3EQYAGAIcA/wE2EE4iP1TC1dPaP0FVTTSnB3Snb+bZa8F7iGMS3we8L2M7L2SytmWNOdX9oQkfc5Ld7oRBneub2PeZMJFVVcCByadtTtlT3t+ZVd+ZU9Pdm1pdq0dQF8zmwRhDNFoCC7cvQ44F9hOGO2l2KQ5O6Q7v7InJ835lT0BKppd6yHCwewrzKyvuze7+w4Lo/Pj7i8DbwDDEszYljRnh3TnV/bkpDm/sich6U3d7nIjGgsU+CiwmnBlkLsIJ+fuA4wgjHCxhXCOXeKZu0P2tOdXduVX9vRkd9dFqLucmX2Q8KYfS7i003HRrHWED8p97v7NRMJ1IM3ZId35lT05ac6v7IWnotkFzGwQ8Gngn4HXCefWvQHUEbpP70s4F+lJd1+eUMyc0pwd0p1f2ZOT5vzKniwVzS5gZncDE4HHgE2EayAeBhwCbACucff6xAK2I83ZId35lT05ac6v7AlLev9w2m+E3QhbgSlZ0w4GzgSeIpy0W5V01u6UPe35lV35lT092TNv6j279yYQLg68o3WCB6vd/RfARwi7H/4hmXjtSnN2SHd+ZU9OmvMre8JUNPfeSsJuhdvMbGxrl+lWHi7rdA9wahLhOpDm7JDu/MqenDTnV/aEqWjuJXffBnwN6APcC5xnZsPNrAzAzPYHphIuqlpU0pwd0p1f2ZOT5vzKnjx1BOoi0cgWXwdOJww+PA94DTgZeBX4vLs/n1zCtqU5O6Q7v7InJ835lT05KppdLOpS/WHCibvbCb+a/tvdX0wyVxxpzg7pzq/syUlzfmUvPBXNPLI2LrCaBmnODunOr+zJSXN+ZS8MFU0REZGY1BFIREQkJhVNERGRmFQ0RUREYlLRFBERiUlFU0REJCYVTRERkZhUNEVERGL6/+ZM6ZGMT3PGAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "execution_count": 30
    }
   ],
   "source": [
    "# Listing 13.25: Result of the search with adjusted number of iterations\n",
    "find_relatives(current_passenger, group, current_passenger[\"SibSp\"]+current_passenger[\"Parch\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}