workbook.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#initialization \n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "#ignore deprecation warnings because they are annoying (not recommened generally)\n",
    "from warnings import simplefilter \n",
    "simplefilter(action='ignore', category=DeprecationWarning)\n",
    "\n",
    "# Importing standard Qiskit libraries\n",
    "from qiskit import *\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "from qiskit.quantum_info import *\n",
    "from qiskit.circuit.library import *\n",
    "from ibm_quantum_widgets import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Section 1: Perform operations on quantum circuits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "**qubit** – qubit to measure: Qubit or QuantumRegister or int or slice or Sequence of Qubits or ints\n",
    "\n",
    "**cbit** – classical bit to place the measurement in:  Clbit or ClassicalRegister or int or Sequence of Qubits or ints"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">        ┌───┐      ░ ┌─┐   \n",
       "   q_0: ┤ H ├──■───░─┤M├───\n",
       "        └───┘┌─┴─┐ ░ └╥┘┌─┐\n",
       "   q_1: ─────┤ X ├─░──╫─┤M├\n",
       "             └───┘ ░  ║ └╥┘\n",
       "meas: 2/══════════════╩══╩═\n",
       "                      0  1 </pre>"
      ],
      "text/plain": [
       "        ┌───┐      ░ ┌─┐   \n",
       "   q_0: ┤ H ├──■───░─┤M├───\n",
       "        └───┘┌─┴─┐ ░ └╥┘┌─┐\n",
       "   q_1: ─────┤ X ├─░──╫─┤M├\n",
       "             └───┘ ░  ║ └╥┘\n",
       "meas: 2/══════════════╩══╩═\n",
       "                      0  1 "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "NUM_QUBITS = 2\n",
    "# let's construct a multi-qubit quantum register\n",
    "qr = QuantumRegister(NUM_QUBITS, 'q')\n",
    "\n",
    "qc = QuantumCircuit(qr, name='my-circuit')\n",
    "# let's create a Bell's state\n",
    "qc.h(0)\n",
    "qc.cx(0,1)\n",
    "qc.measure_all()\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌─┐   \n",
       "q_0: ┤M├───\n",
       "     └╥┘┌─┐\n",
       "q_1: ─╫─┤M├\n",
       "      ║ └╥┘\n",
       "c: 2/═╩══╩═\n",
       "      0  1 </pre>"
      ],
      "text/plain": [
       "     ┌─┐   \n",
       "q_0: ┤M├───\n",
       "     └╥┘┌─┐\n",
       "q_1: ─╫─┤M├\n",
       "      ║ └╥┘\n",
       "c: 2/═╩══╩═\n",
       "      0  1 "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's construct a multi-bit classical register\n",
    "cr = ClassicalRegister(NUM_QUBITS, 'c')\n",
    "qc = QuantumCircuit(qr, cr, name='my-circuit')\n",
    "# explicitly measure qubits [0,1] into classical bits [0,1]\n",
    "qc.measure(qr, cr)\n",
    "# alternatively: qc.measure([0,1], [0,1])\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**NOTE:** measure_all() method adds measurement to all qubits AND adds new classical bits in a ClassicalRegister to store these measurements by default. If add_bits=False, the results of the measurements will instead be stored in the already existing classical bits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Single and multi-qubit gates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are not going to go through basic gates in detail. The reader is expected to be familiar with those. If you are not sure what $X$ or $Z$ gates are you should probably first go through the first two chapters of Qiskit textbook."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the following we will create circuits for the 4 Bell states. Bell states are 2 qubit states which are known as maximally entangled states. Note though, that these are different from the states of equal superposition of all basis states which you get, for example, by applying a $H$ gate to each qubit in circuit. Secondly note that there are multiple ways in which you can create the Bell state. This is obvious, for example, if you think that you can always replace a sequence of gates $HX$ by $ZH$. For further details refer to Qiskit gate identities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\frac{\\sqrt{2}}{2} |00\\rangle+\\frac{\\sqrt{2}}{2} |11\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Bell state 0\n",
    "bell_0 = QuantumCircuit(2)\n",
    "bell_0.h(0)\n",
    "bell_0.cx(0,1)\n",
    "\n",
    "sv = Statevector.from_label('00')\n",
    "#evolve the initial state through the circuit\n",
    "sv_bell1 = sv.evolve(bell_0) \n",
    "sv_bell1.draw('latex')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\frac{\\sqrt{2}}{2} |00\\rangle- \\frac{\\sqrt{2}}{2} |11\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Bell state 1\n",
    "bell_1 = QuantumCircuit(2)\n",
    "bell_1.x(0)\n",
    "bell_1.h(0)\n",
    "bell_1.cx(0,1)\n",
    "\n",
    "sv = Statevector.from_label('00')\n",
    "#evolve the initial state through the circuit\n",
    "sv_bell2 = sv.evolve(bell_1) \n",
    "sv_bell2.draw('latex')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\frac{\\sqrt{2}}{2} |01\\rangle+\\frac{\\sqrt{2}}{2} |10\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Bell state 2\n",
    "bell_2 = QuantumCircuit(2)\n",
    "bell_2.x(0)\n",
    "bell_2.h(1)\n",
    "bell_2.cx(1,0)\n",
    "\n",
    "sv = Statevector.from_label('00')\n",
    "#evolve the initial state through the circuit\n",
    "sv_bell3 = sv.evolve(bell_2) \n",
    "sv_bell3.draw('latex')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\frac{\\sqrt{2}}{2} |01\\rangle- \\frac{\\sqrt{2}}{2} |10\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# create the last remaining Bell state on your own\n",
    "bell_3 = QuantumCircuit(2)\n",
    "\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW\n",
    "\n",
    "sv = Statevector.from_label('00')\n",
    "#evolve the initial state through the circuit\n",
    "sv_bell3 = sv.evolve(bell_3)\n",
    "sv_bell3.draw('latex')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\frac{1}{2} |00\\rangle+\\frac{1}{2} |01\\rangle+\\frac{1}{2} |10\\rangle+\\frac{1}{2} |11\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# state of equal superposition of basis states\n",
    "max_sp = QuantumCircuit(2)\n",
    "max_sp.h(0)\n",
    "max_sp.h(1)\n",
    "\n",
    "sv = Statevector.from_label('00')\n",
    "# evolve the initial state through the circuit\n",
    "\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Circuit barier\n",
    "\n",
    "Despite the common use of barier as a visual tool to separate different parts of circuit, **QuantumCircuit.barrier** is actually an instruction for the transpiler. Transpiler uses different optimizations to improve the performance. For exaxmple, it utilizes gate identities to reduce the depth of the circuit. Two Hadamard gates will be composed into an identity gate if they are not separated by a barier. By placing a barier between two gates you enforce the transpiler to only perform optimizations on different sides of the barier. For more info take a look at this [video](https://www.youtube.com/watch?v=tS2CMOyWFMQ) by Qiskit.\n",
    "\n",
    "**NOTE:** QuantumCircuit.barrier(*args) takes **qargs** as an argument, that is you can specify which qubits you want to apply the barier to. By default barier is applied to all qubits in circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 193.726x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(1)\n",
    "qc.h(0)\n",
    "qc.h(0)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 103.426x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "backend = BasicAer.get_backend('qasm_simulator')\n",
    "qc = QuantumCircuit(1)\n",
    "qc.h(0)\n",
    "qc.h(0)\n",
    "transpile(qc, backend=backend).draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 253.926x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "backend = BasicAer.get_backend('qasm_simulator')\n",
    "qc = QuantumCircuit(1)\n",
    "qc.h(0)\n",
    "qc.barrier()\n",
    "qc.h(0)\n",
    "transpile(qc, backend=backend).draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 253.926x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# try it out yourself with different gates: instead of Hadamard, try Pauili gates\n",
    "my_qc = QuantumCircuit(1)\n",
    "\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW\n",
    "\n",
    "transpile(my_qc, backend=backend).draw('mpl')\n",
    "# did you get what you expected?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Circuit depth\n",
    "\n",
    "Circuit depth returns the length of critical path in the circuit. It is a metric that calculates the longest path between the input and the output.\n",
    "\n",
    "**NOTE:** The single argument is **filter_function** – a function to filter out some instructions. Should take as input a tuple of (Instruction, list(Qubit), list(Clbit)). By default filters out “directives”, such as barrier or snapshot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(1)\n",
    "qc.x(0)\n",
    "qc.depth()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───┐     \n",
       "q_0: ┤ X ├─────\n",
       "     ├───┤┌───┐\n",
       "q_1: ┤ X ├┤ X ├\n",
       "     └───┘└───┘</pre>"
      ],
      "text/plain": [
       "     ┌───┐     \n",
       "q_0: ┤ X ├─────\n",
       "     ├───┤┌───┐\n",
       "q_1: ┤ X ├┤ X ├\n",
       "     └───┘└───┘"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(2)\n",
    "qc.x([0,1])\n",
    "qc.x(1)\n",
    "qc.depth()\n",
    "# draw the circuit yourself to see why the depth has increased now\n",
    "\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 327.252x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(2)\n",
    "qc.x(0)\n",
    "qc.barrier(0)\n",
    "qc.h(0)\n",
    "qc.cx(0,1)\n",
    "qc.depth()\n",
    "# draw the circuit yourself to see why the depth has increased now\n",
    "# hint: the longest path is not always the lenth of the longest sequence along one channel\n",
    "qc.draw('mpl')\n",
    "# the second qubit only has a CX gate applied to it, but has to \"wait\" for the first qubit to provide the control\n",
    "# also, barier doesn't count"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Section 2: Executing experiments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 267.197x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# in the following we will use the implementation of Grover's algorithm in Qiskit\n",
    "from qiskit.algorithms import Grover, AmplificationProblem\n",
    "\n",
    "# let's construct an oracle with a single solution\n",
    "sv = Statevector.from_label('010')\n",
    "problem = AmplificationProblem(oracle=sv)\n",
    "\n",
    "grover = Grover(iterations=2).construct_circuit(problem=problem)\n",
    "\n",
    "# the original circuit contains unitaries\n",
    "# transpile the circuit in terms of basis gates to see what it is \"made of\"\n",
    "t_grover = transpile(grover, basis_gates=['cx', 'u3'])\n",
    "t_grover.draw('mpl', fold=-1)\n",
    "\n",
    "# draw the original cicuit yourself\n",
    "grover.draw('mpl', fold=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$- \\frac{\\sqrt{2}}{16} |000\\rangle- \\frac{\\sqrt{2}}{16} |001\\rangle+0.972271824131501 |010\\rangle- \\frac{\\sqrt{2}}{16} |011\\rangle- \\frac{\\sqrt{2}}{16} |100\\rangle- \\frac{\\sqrt{2}}{16} |101\\rangle- \\frac{\\sqrt{2}}{16} |110\\rangle- \\frac{\\sqrt{2}}{16} |111\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# lets's try to evolve the initial state through the circuit like we have done for Bell states\n",
    "sv = Statevector.from_label('000')\n",
    "sv_ev = sv.evolve(grover)\n",
    "sv_ev.draw('latex')\n",
    "# it is obvious from statevector evolutions, that the state 010\n",
    "# has the best chances to be measured, as desired"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# now let's obtain the same result from the QASM simulation\n",
    "# for that we need to measure the qubits in the end of our circuit\n",
    "grover.measure_all()\n",
    "\n",
    "backend= BasicAer.get_backend('qasm_simulator')\n",
    "job = execute(grover, backend, shots=1024)\n",
    "result = job.result()\n",
    "plot_histogram(result.get_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We are runnig our circuit on  ibmq_quito\n"
     ]
    }
   ],
   "source": [
    "# finally let's see how our circuit performs on actual hardware\n",
    "# you will need your IBM Quantum account\n",
    "IBMQ.load_account()\n",
    "provider = IBMQ.get_provider(hub='ibm-q')\n",
    "\n",
    "# sometimes you might need to wait when running on real devices\n",
    "# let's monitor the status of our job\n",
    "from qiskit.tools import job_monitor\n",
    "\n",
    "# to call a real backend let's pick the least busy one, which satisfies out requirments\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "\n",
    "suitable_devices = provider.backends(filters = lambda b: b.configuration().n_qubits >= 3\n",
    "                                                        and not b.configuration().simulator\n",
    "                                                        and b.status().operational==True)\n",
    "\n",
    "backend = least_busy(backends=suitable_devices)\n",
    "print(\"We are runnig our circuit on \", backend)\n",
    "\n",
    "job = execute(grover, backend=backend)\n",
    "job_monitor(job)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# we see that results from a real device also match our expectations\n",
    "# the algorithm successfully finds the marked string\n",
    "result = job.result()\n",
    "counts = result.get_counts()\n",
    "\n",
    "# plot the histogramm yourself\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Section 3: Implement QASM\n",
    "\n",
    "QASM is a programming language for circuit based quantum computers. Let's see how we can convert a circuit in Qiskit to QASM strings and back. For more detail refer to this nice [video](https://www.youtube.com/watch?v=wG94YHKDIxc) by Qiskit or to the [documentation](https://qiskit.org/documentation/stubs/qiskit.circuit.QuantumCircuit.qasm.html). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[92mOPENQASM\u001b[39m \u001b[96m2\u001b[39m.\u001b[96m0\u001b[39m;\n",
      "\u001b[92minclude\u001b[39m\u001b[91m \"qelib1.inc\"\u001b[39m;\n",
      "\u001b[92mqreg\u001b[39m q[\u001b[96m3\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,-pi/\u001b[96m4\u001b[39m,-pi) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,pi) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,pi) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m3\u001b[39m*pi/\u001b[96m4\u001b[39m,-pi) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,-pi,-pi) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,-pi,-\u001b[96m3\u001b[39m*pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m2\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m1\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m2\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,pi/\u001b[96m4\u001b[39m) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(\u001b[96m0\u001b[39m,\u001b[96m0\u001b[39m,-pi/\u001b[96m4\u001b[39m) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mcx\u001b[39m q[\u001b[96m0\u001b[39m],q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,-pi,-pi) q[\u001b[96m0\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,-pi,-pi) q[\u001b[96m1\u001b[39m];\n",
      "\u001b[95mu3\u001b[39m(pi/\u001b[96m2\u001b[39m,-pi,-\u001b[96m3\u001b[39m*pi/\u001b[96m4\u001b[39m) q[\u001b[96m2\u001b[39m];\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# let's again use our transpiled Grover circuit to demonstarte the idea\n",
    "\n",
    "# Notice: QASM doesn't look \"nice\". This is a low-level language which can be understood by quantum hardware.\n",
    "# If you want to take a look at the QASM code make sure to specify 'formatted=True' which makes the code readable by a human being.\n",
    "t_grover.qasm(formatted=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 3217x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# store the circuit to a file in the follwing way\n",
    "qasm_code = t_grover.qasm(filename='grover.qasm')\n",
    "\n",
    "# to get the circuit back from QASM file execute the following\n",
    "my_qc = QuantumCircuit.from_qasm_file('grover.qasm')\n",
    "my_qc.draw('mpl', fold=-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Section 4: Operators and fidelity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Operators\n",
    "\n",
    "The Operator class is used in Qiskit to represent matrix operators acting on a quantum system. You can build an Operator from a matrix, convert a Gate or a QuantumCircuit to an Operator or compose an Operator from a bunch of smaller Operaotrs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Operator([[0.+0.j, 1.+0.j, 0.+0.j],\n",
       "          [1.+0.j, 0.+0.j, 0.+0.j],\n",
       "          [0.+0.j, 1.+0.j, 1.+0.j]],\n",
       "         input_dims=(3,), output_dims=(3,))"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's create an arbitrary Operator from a matrix\n",
    "A = np.array([[0,1,0], [1,0,0], [0,1,1]])\n",
    "op = Operator(A)\n",
    "# Operator contains information about its matrix representation and input and output dimensions\n",
    "op"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Operator([[ 0.5+0.j,  0.5+0.j,  0.5+0.j,  0.5+0.j],\n",
       "          [ 0.5+0.j, -0.5+0.j, -0.5+0.j,  0.5+0.j],\n",
       "          [ 0.5+0.j,  0.5+0.j, -0.5+0.j, -0.5+0.j],\n",
       "          [ 0.5+0.j, -0.5+0.j,  0.5+0.j, -0.5+0.j]],\n",
       "         input_dims=(2, 2), output_dims=(2, 2))"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# create an Operator from a circuit yourself\n",
    "qc = QuantumCircuit(2)\n",
    "qc.h([0,1])\n",
    "qc.cx(0,1)\n",
    "\n",
    "op = Operator(qc)\n",
    "op"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can compose Operators into larger Operators using tensor product (look up Kronecker product) or tensor expansion (which is just a tensor product in the reversed order)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Operator([[ 0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j],\n",
       "          [ 1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j],\n",
       "          [ 0.+0.j,  0.+0.j, -0.+0.j, -1.+0.j],\n",
       "          [ 0.+0.j,  0.+0.j, -1.+0.j, -0.+0.j]],\n",
       "         input_dims=(2, 2), output_dims=(2, 2))"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = Operator(Pauli(label='X'))\n",
    "B = Operator(Pauli(label='Z'))\n",
    "A.expand(B) # B x A "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Operator([[ 0.+0.j,  0.+0.j,  1.+0.j,  0.+0.j],\n",
       "          [ 0.+0.j, -0.+0.j,  0.+0.j, -1.+0.j],\n",
       "          [ 1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j],\n",
       "          [ 0.+0.j, -1.+0.j,  0.+0.j, -0.+0.j]],\n",
       "         input_dims=(2, 2), output_dims=(2, 2))"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = Operator(Pauli(label='X'))\n",
    "B = Operator(Pauli(label='Z'))\n",
    "A.tensor(B) # result A x B"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can compose a smaller operator with a selection of subsystems on a larger operator using the qargs kwarg of compose method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Operator([[0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j],\n",
       "          [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n",
       "          [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],\n",
       "          [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n",
       "          [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n",
       "          [1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n",
       "          [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n",
       "          [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j]],\n",
       "         input_dims=(2, 2, 2), output_dims=(2, 2, 2))"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "III = Operator(np.eye(2 ** 3))\n",
    "XX = Operator(Pauli(label='XX'))\n",
    "XIX = III.compose(XX, qargs=[0,2])\n",
    "XIX # the resulting operator is X x I x X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Operator([[ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j, -1.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j, -1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            1.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j, -1.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  1.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j, -1.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j, -1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j, -1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  1.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "           -1.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  1.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j],\n",
      "          [ 0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j, -1.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,  0.+0.j,\n",
      "            0.+0.j,  0.+0.j]],\n",
      "         input_dims=(2, 2, 2, 2), output_dims=(2, 2, 2, 2))\n"
     ]
    }
   ],
   "source": [
    "# compose an XIXZ Operator from IIII and XX and Z Operators\n",
    "\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fidelity \n",
    "\n",
    "Fidelity is a measure of the \"closeness\" of two quantum states. For pure states the definition reduces to the squared overlap between the states. For example, if one of the states is a basis state, fidelity can be interpreted as the probability that measuring the second state will result in this basis state. For impure states, the definition is omre complex."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# with Qiskit you can find the state fidelity between two quantum states\n",
    "\n",
    "# let's investigate Bell states\n",
    "state_fidelity(sv_bell3, sv_bell1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4999999999999999"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "basis_state_00 = Statevector.from_label('00')\n",
    "state_fidelity(basis_state_00, sv_bell1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "basis_state_00 = Statevector.from_label('00')\n",
    "state_fidelity(basis_state_00, sv_bell3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Can you explain the results above?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Process fidelity\n",
    "\n",
    "Process fidelity is different from state fidelity. It tell you how close two quantum channels are to each other. Process fidelity does not depend on the global phase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Input channel is not TP. Tr_2[Choi] - I has non-zero eigenvalues: [-1.  1.]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's find process fidelity of X and H Operators\n",
    "op_1 = Operator([[0,1],[0,1]])\n",
    "op_2 = Operator([[1,1],[1,-1]])/np.sqrt(2)\n",
    "\n",
    "F = process_fidelity(op_1, op_2)\n",
    "F"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\ivash\\OneDrive\\Рабочий стол\\SS 22\\Qiskit Certification\\qiskit-cert-workbook\\venv\\lib\\site-packages\\qiskit\\quantum_info\\operators\\measures.py:381: UserWarning: Treating array input as a Operator object\n",
      "  warnings.warn(f\"Treating array input as a {fallback_class.__name__} object\")\n",
      "Input channel is not TP. Tr_2[Choi] - I has non-zero eigenvalues: [-1.  1.]\n",
      "Target channel is not TP. Tr_2[Choi] - I has non-zero eigenvalues: [-1.  1.]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# what about fidelity of X Operator with itself multiplied with a complex phase\n",
    "op_1 = Operator([[0,1],[0,1]])\n",
    "op_2 = op_1*np.exp(0.5j)\n",
    "# calculate the process fidelity yourself\n",
    "\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW\n",
    "\n",
    "# as you expected, the fidelity is independent of global phase"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Section 5: Display system information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'qiskit-terra': '0.20.2', 'qiskit-aer': '0.10.4', 'qiskit-ignis': '0.7.1', 'qiskit-ibmq-provider': '0.19.1', 'qiskit-aqua': '0.7.5', 'qiskit': '0.36.2', 'qiskit-nature': None, 'qiskit-finance': None, 'qiskit-optimization': None, 'qiskit-machine-learning': None}"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# encountered a compatibility error? Check which version of Qiskit you are using\n",
    "import qiskit\n",
    "qiskit.__qiskit_version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td><code>qiskit-terra</code></td><td>0.20.2</td></tr><tr><td><code>qiskit-aer</code></td><td>0.10.4</td></tr><tr><td><code>qiskit-ignis</code></td><td>0.7.1</td></tr><tr><td><code>qiskit-ibmq-provider</code></td><td>0.19.1</td></tr><tr><td><code>qiskit-aqua</code></td><td>0.7.5</td></tr><tr><td><code>qiskit</code></td><td>0.36.2</td></tr><tr><th>System information</th></tr><tr><td>Python version</td><td>3.8.8</td></tr><tr><td>Python compiler</td><td>MSC v.1916 64 bit (AMD64)</td></tr><tr><td>Python build</td><td>default, Apr 13 2021 15:08:03</td></tr><tr><td>OS</td><td>Windows</td></tr><tr><td>CPUs</td><td>4</td></tr><tr><td>Memory (Gb)</td><td>7.857898712158203</td></tr><tr><td colspan='2'>Tue Jun 14 10:59:49 2022 W. Europe Daylight Time</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# display the entire version table\n",
    "%qiskit_version_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "75ecdb4c752a497abf5fb87331e92dd5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<h2 style ='color:#ffffff; background-color:#000000;padding-top: 1%; padding-bottom…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let's have an overview information on all the IBMQ backends that are available\n",
    "%qiskit_backend_overview"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# now let's pick one device and investigate it \n",
    "from qiskit.visualization import plot_gate_map\n",
    "backend = provider.get_backend('ibmq_bogota')\n",
    "\n",
    "plot_gate_map(backend, plot_directed=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1QZIkSaVkoitJkqRSMtGVJElSKZnoSpIkqZRMdCVJklRKJrqSJEkqJRNdSZIklZKJriRJkkrJRFeSJEmlZKIrSZKkUjLRlSRJUimZ6EqSJKmUTHQlSZJUSia6kiRJKiUTXUmSJJWSia4kSZJKyURXkiRJpWSiK0mSpFIy0ZUkSVIpmehKkiSplEx0JUmSVEomupIkSSolE11JkiSVkomuJEmSSslEV5IkSaVkoitJkqRSMtGVJElSKZnoSpIkqZRMdCVJklRKJrqSJEkqJRNdSZIklZKJriRJkkrJRFeSJEmlZKIrSZKkUjLRlSRJUimZ6EqSJKmUTHQlSZJUSia6kiRJKiUTXUmSJJWSia4kSZJKyURXkiRJpWSiK0mSpFIy0ZUkSVIpmehKkiSplEx0JUmSVEomupIkSSolE11JkiSVkomuJEmSSslEV5IkSaVkoitJkqRSMtGVJElSKZnoSpIkqZRMdCVJklRKJrqSJEkqJRNdSZIklZKJriRJkkrJRFeSJEml1HaJbkSkiNi76DhaKSIujIjX92O5ERFxe0Ts0ISwJEmSOlpdiW5E3B0RqyJieUQ8EBHfj4hRzQ5uICLi6oh4Vw/zx+VJ9fJujze3OM4JwAHAL/LnB0TELRHxcER8sKLc8Ij4c0Ts3jUtpbQG+C5waitjliRJ6gR9adF9TUppFHAgcBDwsaZE1HqjU0qjKh4XVSsUEUO7PR/Wl5X0UP49wI9SSil//nngw2TJ72kRsXM+/YPAJSmlf3Vb/gLg7RExoi/xSJIklV2fuy6klB4AfkOW8AIQES+IiGsj4tGIuCkiDq+Yd0JE3BYRyyJicUS8p7K+iPhIRNwfEfdFxDu6zdsuImZHxEMRsSQiPhERQ/J5Z0TEDyvKdrXQDouIzwIvAmbkrbQz+rqdeav1NyPi8ohYAbwkb9n+aEQsBFbk63pt3gL7aN6KvF9FHZuVr7KqVwLzKp7vCVyVUroXuAPYIyLGAm8Avtp94ZTSPcAjwAv6uo2SJEll1udENyJ2I0vO7syfPw24DPgMMIasNfKSin6jDwKvBrYFTgC+GhHPyZd9RV7+KGAf4Mhuq/sGsB2wFzAJmJLX0aOU0mnAH4BpeSvttL5uZ+6twGeBbYBr8mnHAK8CRudxXQh8ANgBuBz4ZURsUVHHk+VTSusqK4+IrckS279XTP4b8LJ8P48D7gLOAT6SUnqiRpy3kbUAS5IkKdeXRPfnEbEM+BdZ8vqpfPrbgMtTSpenlDaklOYCC4CjAVJKl6WU7kqZecAVZK2tAG8CvpdS+ltKaQVwRtfK8q4CbwE+llJallK6G/gycFw/t7WWh/PW2K7HfhXzfpFSmp9v1+p82tdTSv9KKa0C3gxcllKamyehZwMjgUMq6qgs393o/O+yimkfBk4CLgVOAQ7N5/8jIn4REfMi4o3d6llWUZckSZKAvvQzfX1K6cqImETWL3R74FFgLPDGiHhNRdnhwO8AIuKVZEnxeLLEeivg5rzcrsD1Fcstqfh/+7yeJd3mP60PMddj++4trRW694ftPm1XKuJLKW2IiH+xaYzV6ujyaP53G2B1XscS8h8JEbEV8EfgZWSt2xeRtZ7/LSJ+m1JaWrH8o0iSJOlJ/emjOw/4PlnrJWSJ3PkppdEVj61TSl/IL5C6JC+7U0ppNNnp/ciXvR/YvaL6PSr+fxh4giyRrpx/b/7/CrKkucvObCoxcNXqqJx2HxXxRUSQbc+9NcpvWlHWin0X2Y+Aaj4JzEop/Rt4NrAgpfQYcA9QOQTbfsBNtTdDkiRp8OnvOLpfA46KiAOAHwKviYiXR8TQiNgyIg7P+5huAYwAHgLW5a27L6uo52Lg+IjYP2+97OoOQUppfT7/sxGxTX5B1gfz9QHcCLw4IvaIiO3YfBSIf5P1oW2mi4FXRcQRETEc+BCwBri2D3VcTtb/eBMRsT9wOPDNfNI/gJdGxE5k/Zn/mZd7Glnf6D/1cxskSZJKqV+JbkrpIWA28Ml8uKvXAR8nS2j/BXwEGJJSWga8nywhfITs4q5LK+r5P7Kk+Sqyi9uu6raq95G13C4muxjsArJxY8n7Al8ELCTr/vCrbsueA0yOiEci4us9bM6j3cbR/WAPZbvvh7+T9VH+BlkL9GvIhmFbW28dwLeBY/PW4ErnAtPzhB+yRP79wC3A5/LRLyDbpz/Ix9SVJElSLjYO36qiRMQFwMUppZ/3cbkRZF0WXpxSerAZsUmSJHUqE11JkiSVUn/76EqSJEltzURXkiRJpWSiK0mSpFLqyw0j+qotOv8ec8wxAFx44YUFR9Iv3UdikCRJUp1s0ZUkSVIpNXPUhbZo0V26NLtL7pgxYwqOpF9s0ZUkSeqn0ie6Hc5EV5IkqZ9K33Vhzpw5zJkzp+gwJEmS1GLNvBitLVxyySUATJ48ueBIJKm2OVPPCWA4sG7yzOkbio5Hksqg9ImuJLWTOVPP2Qo4ADgYeBHwfOBpwFCyLl9D5kw9Zz2wFLgBmAcsAK6fPHP6fwoJWpI6lImuJLXAnKnnPBf4EPB6YA1Z6+3IbsW6+uUPBXYAXga8BFgJjJwz9ZwFwFnAZZNnTl/XgrAlqaOZ6EpSk8yZes4WwLHAR4HdgC3JktgRfahmOLBd/v8hwPnA2jlTz/k6MHPyzOkPNy5iSSqX0l+MJklFmDP1nOcAtwHfAJ4BbE2W5A7UNsBTgY8Bd82Zes6b8/69kqRuSj+82KpVqwAYObL7GcKO4MFL6jB5K+6ZwPvJWnCb/TleAfwBOH7yzOn/bvK6JKmjlD7R7XAmulIHmTP1nH2AXwM7A1u1cNVryfr9HjN55vTLWrheSWprpU90zz//fACOO+64giPpFxNdqUPMmXrOAcDVwLYU1y1sFfDuyTOn/7Cg9UtSWyl9H93LL7+cyy+/vOgwJJVYnuT+geyisSK/V0cC354z9ZzjC4xBktpG6RNdSWqmvLvC1cAo2uMszEhg5pyp5/xX0YFIUtFMdCWpn+ZMPWcEcAVZd4V2SHK7jAR+OGfqOXsXHYgkFalp4+guvnJuw+vc68ijGl6nJA3A/wA70p6NBiOAi+ZMPee53lJY0mDVjl/OktT25kw9ZyIwjdaOrtAXQ8nG731/0YFIUlGaNurC4ivnNrziQdii206nQiXl8i4LtwHjaP/P6UrggMkzp99ZdCCS1Gq26EpS300h67LQ7kkuZF0YvlR0EJJUhNInurNmzWLWrFlFhyGpJPLb7X6U7Ja+nWAo8Io5U8/ZsehAJKnVSp/oXnXVVVx11VVFhyGpPF5AduezTpKAdxUdhCS1WukTXUlqsA+TDd/VSUYCH5gz9ZyhRQciSa1koitJdZoz9ZxtgFfRmd+dWwIvLToISWqlTvyylqSiPAdYXXQQ/TQSOKToICSplZp2w4h2seWWWxYdgqTyOJhsFINONAyYVHQQktRKpU90v/e97xUdgqTyeDFZF4CG2vslBzLukGey3S5jiCFDuPWyP3HrZX9u9GoADmxGpZLUruy6IEn1e24zKn3KHjvyxIrVrHxkeTOqr7TVnKnn7NTslUhSuyh9i+43vvENAN73vvcVHImkTpaPn7tLM+q+7gdXAPDC97yarZ+6bTNW0WU1MB74dzNXIkntovQtutdeey3XXntt0WFI6nxbkI1H2+k6bWg0Seq30ie6ktQgWwLrig6iAbxCV9KgYaIrSfV5gnJ8Zz5RdACS1Cpl+NKWpFZYTTmua1hVdACS1CqlT3RHjx7N6NGjiw5DUoebPHP6BuCxZtQ97pBnMvG4o3jK7jsCsOuEpzPxuKPY9YC9Gr2qYcD9ja5UktpVGVonevTNb36z6BAklcfNwGGNrnT7p+/KuBfu/+Tz0bvvwOjdd2Dl0se576bFjVzVMOCORlYoSe2s9ImuJDXQ1cALgaGNrHTB+XNZcP7cRlZZy+15y7QkDQql77pw1llncdZZZxUdhqRyuA5o+l0dmiQBvy86CElqpdK36N5www1FhyCpPBYAI4oOop+WA38qOghJaqW6WnQjYkxE/CwiVkTEkoh4a7MDk6R2M3nm9PuARUXH0U/DgMuKDkKSWqnergvnAmuBnYBjgW9GxDObFpUkta8vAsuKDqKP1gE/mTxzelNGjZCkdtVrohsRWwNvAE5PKS1PKV0DXAoc1+zgJKkNXULn3Qp4LfCVooOQpFarp0V3PLAupVR5uu4mYLMW3Yh4d0QsiIgFF17WHmfIdt55Z3beeeeiw5BUEpNnTl8DfIsseewUd06eOf2mooOQpFar52K0UcDj3aY9BmzTvWBK6dvAtwEWXzm3LVo8vvrVrxYdgqTyOQeYCmxRdCB1WAl8vOggJKkI9bToLge27TZtWzqvj5okNUR+UdopwIqiY+nFGuDyyTOnt8cpNklqsXoS3UXAsIjYp2LaAcAtzQmpsc4880zOPPPMosOQVD7nAX8lu9CrXa0E3lN0EJJUlF4T3ZTSCuCnwJkRsXVEHAq8Dji/2cE1wm233cZtt91WdBiSSmbyzOkJODaltKboWGpYCbx98szpS4sORJKKUu/wYlOBkcCDwIXASSmljmjRlaRm+c+jqx5eseqJu1Jqi0sSKq0AfjR55vRfFh2IJBWprjujpZSWAq9vbiiS1Dn+961fGAn8Ys3a9RMAth45nIgoOCoga8n9DfDeogORpKLV26IrScp1JbnAUQBr1q5n5aonaIOW3RXAr4G3TJ45fUPRwUhS0epq0e1ke+65Z9EhSCqR7klul9Vr17MhsWHUVsPXRcRwoNXNuyuBC4D3muRKUqb0ie7nPve5okOQVBK1ktzc+rVPrD8mYovbgJ8AuwNbtyCsNcAq4ITJM6f/vAXrk6SOYdcFSapDb0kucMx7Ljj1J5NnTv8bMAH4ElkC2sz+DCuBy4G9TXIlaXPRrD5lzbgz2l5HVju+9OzjH89uCNShLbttcWWLNNjVm+R2nzFn6jnPBr4CHEb2eR7RgHDWk7XiLgFOnTxz+qUNqFOSSqn0XRf+8Y9/FB2CpA7W3yQXYPLM6TcDR82Zes7uZMM0nkSW8I6i72fUlpN9Z/8U+OrkmdMX9HF5SRp0Sp/oSlJ/DSTJrTR55vR/AR+bM/WcTwGvAA4FJgHPIkt8n1j9xNrtNp7ESUQEI4YNXwvcCczPH7/0BhCSVD8TXUmqolFJbqXJM6evBS7NH8yZek4AY4G9f37jgrlDhwxlfdrA+vXrWbZmNe998ZFbT545vZ1vMSxJbc1EV5K6aUaSW01+G+G7gbvPHPvTavNNciVpAEqf6O63335FhyCpg7QqyZUkNV/pE91PfvKTRYcgqUOY5EpSuTiOriRhkitJZVT6RPeUU07hlFNOKToMSW3MJFeSyqn0XRceeOCBokOQ1MZMciWpvErfoitJtZjkSlK5mehKGpRMciWp/Ex0JQ06JrmSNDiUvo/uQQcdVHQIktqISa4kDR6RUmpW3U2reBCJ3otIqlc7J7kTxk7a7Dtz4ZJ5fgdI0gDYdUHSoNDOSa4kqTlKn+iedNJJnHTSSUWHIalAJrmSNDiVvo/uo48+WnQIkgpkkitJg1fpW3QlDV4muZI0uJnoSiolk1xJkomupNIxyZUkwSDoo3vIIYcUHYKkFjLJlSR1cRzd9uYYmlIfdHKS6zi6ktR4dl2QVAqdnORKkpqj9InuCSecwAknnFB0GJKayCRXklRN6fvorl69uugQJDWRSa4kqZbSt+hKKi+TXElST5rWorv4yrnNqnoTex1Z7fgmqexMciVJvbFFV1LHMcmVJNWj9H10X/rSlxYdgqQGMsmVJNWr9InuiSeeWHQIkhrEJFeS1Bd2XZDUEUxyJUl9VfpE95hjjuGYY44pOgxJA2CSK0nqj9J3XZDU2f73rV94CnATsHuV2Sa5kqSaTHQlta08yb0DeGqV2Sa5kqQelb7rgqTOZJIrSRooE11JbSfvk3sb1ZNcgGNNciVJvSl914Wjjz666BAk9UHFhWc71SjylfdccOpFLQxJktShSp/oHnfccUWHIKlOvYyuAFmS+6EWhiRJ6mCl77qwatUqVq1aVXQYknphkitJarTSt+i+4x3vAODCCy8sOBJJtdQxTu4733PBqT9obVSSpE5X+kRXUnvzZhCSpGYpfdcFSe3LJFeS1EwmupIKYZIrSWo2E11JLWeSK0lqhdL30X3DG95QdAiSKpjkSpJapfSJ7uTJk4sOQVLOJFeS1Eql77qwdOlSli5dWnQY0qBnkitJarXSt+iefPLJgOPoSkUyyZUkFaGuFt2ImBYRCyJiTUR8v8kxSSoRk1xJUlHqbdG9D/gM8HJgZPPCkVQmJrmSpCLVleimlH4KEBETgd2aGpGkUjDJlSQVrfQXo0lqPZNcSVI7aGiiGxHvzvvyLrjwsssaWXW/HXvssRx77LFFhyENGia5kqR20dBRF1JK3wa+DbD4yrmpkXX316tf/eqiQ5AGDZNcSVI7KX3Xhfvuu4/77ruv6DCk0jPJlSS1m7padCNiWF52KDA0IrYE1qWU1jUzuEb40Ic+BDiOrtRMJrmSpHZUb4vuJ4BVwKnA2/L/P9GsoCR1DpNcSVK7qnd4sTOAM5oaiaSOY5IrSWpnpe+jK6k5THIlSe3ORFdSn5nkSpI6QUOHF2tH73rXu4oOQSoVk1xJUqcofaJ7xBFHFB2CVBomuZKkTlL6rguLFy9m8eLFRYchdTyTXElSpyl9i+5pp50GOI6uNBAmuZKkTlT6Fl1JA2OSK0nqVCa6kmoyyZUkdTITXUlVmeRKkjqdia6kzZjkSpLKoPQXo5188slFhyB1FJNcSVJZlD7RPeyww4oOQRqQRbPnDAH2Bg4Gng+8GNgd2AIYDqwD1gD3A78H/gRcDywaP2Xy+r6syyS3+SaMnRTAOLLX83nAJGDPGmVnAdeSvZ63Llwyb12LwlSdli5cEMDT2PT13AcYQfb53ACsBR4m+2zOJ3s9bx4zYeLaImKWBpNIKTWl4sVXzm1Oxd3sdWS14/FGt956KwD7779/K8JptCg6ABVn0ew5+wLTgePySRuAUfT8vkjA8rzMUOAi4Cvjp0y+ubf1meQ214Sxk8YB04ATyRoZ1pG9nr11IVtO9rqOIHt9vgz8ZeGSeS35jlV1Sxcu2AV4D3Ay2eu4Jv87tJdFV5B9lrcErgS+BFw9ZsJEX0+pCUqf6B5zzDFAx46ja6I7yCyaPWcY8Drgo8CzyBKi4QOoch1Za9IdwBeBS8ZPmbxZK5JJbnNMGDtpCPBy4L+BF5B9pkcMoMoNwCrgPrLX88KFS+atHGicqk/eevti4MNkn5VElrD2VyJLfB8BzgZ+MGbCxMcGGqekjbwYTWoTi2bPeRZwM/B94LnASAaW5EKWKG8FHAB8G7h90ew5EysLmOQ2x4Sxk/YkO1V9MXA4WUI0kCQXsu/srclOjX8NWDxh7KSXDLBO1WHpwgU7A78BLgNeRfZaDiTJheyHzyiyrkifA+5eunDB6wZYp6QKpe+jK7W7vBX3NLJW3C1pXkv+KLIk6feLZs+ZAZz+u1/fOQST3IbKW3FPBr5Algz1diq7v0blj8smjJ10AfCBhUvmLW/SugatvBX3rcA3yT6fA/3xWcvW+d8Lli5c8BvgxDETJv6nSeuSBg1bdKUCLZo9Z2+yVtyPkLXgNru7SuTrOTml9PdttxtxJSa5DTNh7KRdyFpxP0/Wkt6sJLfSSLJE7M4JYye9sAXrGzSWLlwwGvg18L/ANjQvya20FXA0cOfShQte3oL1SaVmoisVZNHsOROAvwDj2dia0ypbAWMPeO7TDtl2u83Oppvk9kPeVeGvwEG0/vUcCewEXDlh7KRXtHjdpbR04YKdyD6fk2j96zkCGA38bOnCBW9t8bqlUin9xWjXX389AAcffHArwmk0L0YrqUWz5xxINhRYb6MoNN36dRu4ccF9PP7oajDJ7ZcJYyftRZYUjaY1rbg9WQm8eeGSeb8qOI6OlSe51wE705pW3J6sBKaNmTDxewXHIXWkpiW6ZFeTamBMdEto0ew544E/A9vRJq/xunUbuOHP96xfvmytSW4fTRg7aVeycVF3pH3Okq0Ejl64ZN68ogPpNHl3heuAsRSf5HZZBbxtzISJPy06EKnTlD7RtUVX7WTR7DkjgUXArrRPUkRKibQhLRsydMju46dMdnijOk0YO2kocAOwH+13ce9yYN+FS+bdW3QgnSK/8GwucBgDHyGj0VYCzx0zYeKtRQcidZK2OdA2y9lnn83ZZ59ddBhSl7OAp9Jmn72IYMjQIcOBc4uOpcN8BNiL9ktyIUvUzs/vxKb6vI1svON2S3IhG/Hh4qULF7Tje01qW211sJXKbNHsOYcA7yS7cKgdbQn816LZc7yYqQ4Txk7aF/gkrb9QqV7DyW5Je1xvBQVLFy7YFZhJ+76eQ8huHf2RguOQOoqJrtQCeZeFi2nfJLfLVsAPF82es13RgbSzvMvCxbRny1+lrYFz837EqiHvsnA+nfF6nr504YL9ig5E6hQmulJrTAOeUnQQddqa7OYVqu0twJ50xnfoCLKbV6i2lwLPp30uPuvJCGBG0UFInaITvqSljrZo9pwhwAfJWks7wZbA1EWz52xRdCBt7KNkQ8N1guHAGyeMnTS66EDa2EfonM/nEOCQpQsXjCs6EKkTlL5T++mnn150CNJRtG+/v1qGAK8nOz2vChPGTjoQeHrRcfTReuDtwDlFB9Juli5csBvZTSE66aK9IcBU4L+LDkRqd6Vv0d1///3Zf//9iw5Dg9t/0zmtf122AU4tOog29UGg01q7twY+4ggMVZ1UdAD9sAXw3qULF7R7n2KpcKVPdK+55hquueaaosPQILVo9pxdgEPorNaiLvvmN7dQbsLYSVsBb6Qzz4ZtB7yo6CDaSX4R2lSy7jqd6HVFByC1u9Inuueeey7nnuvQoCrMC4G1RQfRT+uBQ4sOos0cCKwpOoh+GkF2IwRttCed1zrfZRTwkqKDkNpd6RNdqWDPo/O6LXQZRdYarY0OpnMTo+FkfVG10cHAuqKD6KfAHy5Srzrx9JvUSV5ME35QxpAhbD9xAtuM3Y0hw4ezZukjPLRgIasfXtroVZnobupFNHgs5DO++BEOnPhsdt5lB9aufYKbb7yNr37uW9y56B+NXE2Xg5pRaQdryg/RrXcbx/BttiWGDiNtWM+6VStZdf89rF+9qtGrGr904YKhYyZMXN/oiqWyaFqiu/jKuc2quk9WPfII0D7x9GSvI48qOgQ10KLZcwJ4djPq3uG5BzD6GU9nzSOPsfKBB9lm3O487cgX8Y+f/R8b1jS0p8Q+i2bPGTZ+yuRObfVqtOc3usL/95ZXc9Nfb+GG627mBYcdzIte8gLG77sXr5p0LGsb+1oCbDdh7KSnLlwy7z+NrrhDTaIJP0SHbDGCJ5YvI21Yz/BR27LFNtsxdMSWPHb7zY1e1VpgX+CWRlcslYUtulLzjKEJA9AP3XIE2+29J2lD4p65v2f96jWwIbHt08fylH335j833drI1a0BxgJ3NbLSTpSPWLBbo+t986tO5La/LQJg19125tfzL2KnXXbk6fuM5ba/3dHo1a0iS4zmN7riDtWUYeKWLf77k/8PHbkV2+2zP0OGb0HW2yA1clUbMNGVelT6RPeUtx1bdAgavLYi6//X0CGAtthuW2LoEJ5YtiJLcoHV/3mEbZ8+lhFPafidezfQOQPpN1tT7prVleQCDB+efSWvW7eOhx5sfKPr1ltvud2nPzrlmqULFzS8bm1qxFN3YOiIkQzfZlsAVj/0bxqc5ELWGt3utxWXClX6RHf3nXcuOgQNXlvShCPbsJFZ3rxh3cbeBF3/Dx3Z8FGSEh5Iu2xJNhJFUy7iHbnVSM48Oxu6+Pzv/ISHH2x4f2tIsGbtE42vV5vZYrsxDB+1DQDr165l3crlzViNia7Ui9KPuvDHm27ijzfdVHQYGpyacoHIulVZK+6QYRt/pw7JWwLXr1rdjFWaGWXW0aTxkJ8yZjvO+/HXOGjis5lzwS/56ue/1YzVADBs6NCm1a2Nli3+O0tvvp5ld9/JkOHDGTV2r7z7QkMlOnfUCKklSt+i+5O5VwLwwgMOKDgSDUKraMKPybWPPU5av4FhW2/F0C1HsH71GrZ86hgA1jzyWKNXNwRoSvbcgVbThO/MXZ62E/97/tmMe/oefGfGD/n6l2Y1ehWb2GKLpvTAUJcISPmJnJR4YtljpA3rGTJ0GEO2GMGGJxp6geEGsu8ZSTWUPtGVCvQITRhzdf3qNTx2192MHr8Xux31YtY8+jjbjNuNDU88waO339no1Y0AHmp0pZ1o4ZJ5GyaMnbSC7Ha6DTP7p+ey0847cN89D7DlyBH89yenAXD5L67kbzfd3shVsSElRm/XqcM6d4ZhW41i1B578sSK5aT16xi29TYMGTqMDeueYP2qlY1e3Qb8fEo9MtGVmmT8lMmrF82ecw8wrtF1P3TdjbBhA6PG7c6obUex+qGlPLTgJtY3fjiqZeOnTH640ZV2sJuBFzSywp123gHIRlx42zvf+OT022+9s+GJ7qpVa9aeMO1LWy9cMs/T3cDShQvmAG9oZJ0bnljL+jVrGD5qW2LIENL6dax5dCmr/30faUPDezNtBdzQ6EqlMjHRlZrrTzQh0U3rN/DgX27kwb/c2Oiqu/trs1fQYX5PdpOBhnVJmTC2pTcru8MkdxO/B15FdqFhQ2xYu2aT4cWa7JExEyY24apFqTxKfzGaVLBr6Nw+dE8A84oOos38BWjK5fMtkMjej9roerKxojvV9UUHILW70rfonvqOE4oOQYPb9XTuVdErAQdc3dT1NGk83RZYAfyx6CDazI00uM91C63FH6JSr0rforvjmDHsOGZM0WFo8FpA5w7PNZTs1K42WgLcW3QQ/TQcuLzoINrJmAkTOzn5Xw/8vOggpHZX+kT3d9ddx++uu67oMDRIjZ8yeR3wdTpviK61wHnjp0zu1G4XTbFwybwEfJHO676wAfjVwiXzvEJ/c2cBy4oOoh9uGjNhYss6A0udqvSJ7i/n/Z5fzrNRSoX636ID6IcNwDeKDqJNXUCTbhzRRKuAs4sOok39H533Q3QZ2Q8uSb0ofaIrFW38lMkPAFfQhNsBN9F146dMvqvoINrRwiXzVgI/oLO6pNwP/LnoINrRmAkT1wNfpbMuGn0C+FXRQUidwERXao3/oXNajVYCZxQdRJv7Mp2T6K4ATs+7Xai6WXTORaMrgM+NmTCxU+KVCmWiK7XA+CmTF5AdTBt+a6QGWw38dPyUyVcVHUg7W7hk3mLg02RJRzt7gmws54uKDqSdjZkw8WFgKu3/em4AFgNfKzgOqWOY6EqtcyrQ7oO7LwdOLjqIDvFl4C6y5KNdrQGm2Jpblx+RjcDQzi31a4A35d0tJNUhUmrO99/iK+e2xRfrY8uyi6O326b97+++15FHdZ/UaRe8qBeLZs95IfBbYGTRsVSxEviv8VMmX1F0IJ1iwthJzyC7e9xWRcdSxQrgpIVL5p1fdCCdYunCBbuklBZFRDseMFYAnxkzYeIXig5E6iSlb9HdbptRHZHkanAYP2XyH8kufGm3U6QrgB+Y5PbNwiXz/g58mPbrkrISmAv8sOhAOsmH3/vdB3710+t+v3Zt23V/XQ0sBL5UdCBSpyl9ovuba6/lN9deW3QYUqVPAD+mfZLdlWRDLE0rOpBOtHDJvG8CX6F9Xs9VZDcqebNdFur3jkOmBnDOvLl/O/qXP/kza9e0TQ+GtcCdwMvtsiD13SBIdP/Ib67t1BvfqIzGT5mcgHcDl1B8ctTV8vfW8VMmt3Nf03b3SeBcim/ZXUV2m+JXLlwyb23BsXSMriQXeB/AH//wdy7/xfW0QcvuamARMGnMhImdeFMLqXC9JroRMSIizouIJRGxLCJujIhXtiI4qazypPJ4ih2JYQVZy/Ibxk+Z3DbNV51o4ZJ5aeGSeR8lG4mhyNfzKuDIfKxf1aF7ktvlmqtu5acXXMv69RvWUcwY2CuAG4BDxkyY2O4XsUptq54W3WHAv4BJwHZkp10vjohxTYxLKr3xUyan8VMmnwIcAzxCdkV1K6wFHgfeCbxr/JTJng5tkIVL5p0FHA08QOtuQLCOLCn6MPCahUvmtep91PFqJbldFvzpzk8PHTrk+cA/aN0PmA1k753PAS+2JVcamF4T3ZTSipTSGSmlu1NKG1JKvyL70B/c/PCk8hs/ZfKlwN5kdzpq9sG0q9Vv/Pgpky/Ku1GogRYumTeP7PX8Ia15PRcAz1q4ZN637JNbv96SXODT37125hljJkz8K7Af2S2xV9Hc1t0VwO3AxDETJnpTCKkB+txHNyJ2AsYDt1SZ9+6IWBARCy687LJGxCcNCuOnTF46fsrkyWStu4vJDniN6jObyMbH/RdZK+7R46dM/neD6lYVC5fMW7Fwybx3A68C/kaW8Day5XwZ8BDwIeCQhUvm3d3Aukuv3iS368mYCRPXjpkw8VTgRcBfyBLeRnb3WQY8SnYHxQPGTJh4awPrlga1Po2jGxHDya7Oviul9J6eyrbLOLqr12TXY2w5YouCI+md4+gKYNHsOQG8kOxU9CvJEtX+jLu7muw9dBVwFjDPFtxiTBg76SDgFOCNZAnv1v2oZi3Zj5+/AF8EfrNwyTy7nfRRX5PcapYuXLAvMB2YQvaa9GcMy3VkyfItZK/nL8ZMmGhfeanB6k50I2IIcAGwLfC6lFKPH8h2SXQ7iYmuuls0e86OwJuBlwDPBXYiax0cSnZGZgjZgXYDWQK1FfAw2ens3wEXjZ8y+b7WR65qJoydNBp4E/BS4PnAbmSvZ5C9lkPZ9PUcCTxGdlOKq4GL89sPqx8akeRWWrpwwdbAZLLX8xBgLFlrb63Xc0uyszU3AvOAObbeSs1VV6IbEQF8FxgHHJ1S6vUii3ZJdH9x9dUAvO7wwwuNox4muurNotlzRgEHkX0WRwIjyFr6VgH/BG4YP2XyY4UFqD6ZMHbSSOAAsj69I8kSobVkrfH3AX9duGTef4qLsDwaneRWs3ThghHAs4B9yV7PkWSttquAB4Hrx0yY+OBA1iGpb+pNdL8FHAgcmVJaXk/F7ZLofvDsLwPwlQ9/qOBIemeiK0mN14okV1J7qmcc3bHAe8gS3QciYnn+OLbZwUmSNBAmudLgNqy3AimlJdiyKEnqMCa5kkp/C2BJ0uBjkisJTHQlSSVjkiupS69dFzpdJ1yEJklqDJNcSZVs0ZUklYJJrqTuSp/oXnzFFVx8xRVFhyFJaiKTXEnVlD7R/dPCm/nTwpuLDkOS1CQmuZJqKX2iK0kqL5NcST0x0ZUkdSSTXEm9MdGVJHUck1xJ9Sj98GIjhg8vOgRJUgOZ5EqqV+kT3c9Pf3/RIUiSGsQkV1Jf2HVBktQRTHIl9VXpE90f/uoyfviry4oOQ5I0ACa5kvqj9InuX2+/nb/efnvRYUiS+skkV1J/lT7RlSR1LpNcSQNhoitJaksmuZIGykRXktR2THIlNULphxfbduutiw5BktQHJrmSGqX0ie4ZJ7236BAkSXUyyZXUSJFSalbdTat4EImiA5CkVjHJldRope+je9ZZZ3HWWWcVHYYkqQcmuZKaofRdF2644YaiQ5Ak9cAkV1KzlL5FV5LUvkxyJTWTia4kqRAmuZKazURXktRyJrmSWqH0fXR33nnnokOQJFUwyZXUKg4v1t4cXkxSqeRJ7jXAITWKmORKapjSt+hKktpDnuTeABxQo4hJrqSGKn0f3TPPPJMzzzyz6DAkaVAzyZVUhNK36N52221FhyBJg1qe5F5H7ST3cya5kpqh9C26kqTiVFx4dnCNIvO+e+3M01oYkqRBpGktuouvnNvwOvc68qiG1ylJao46RleY991rZx7euogkDTa26EqSGs4kV1I7KH0f3T333LPoECRpUKkjyf3qd6+d+cEWhiRpkGraOLqLr5zb8IoHYdcFx9GV1FG8GYSkdmLXBUlSQ5jkSmo3pU90P/7xj/Pxj3+86DAkqdRMciW1o9L30f3HP/5RdAiSVGomuZLaVelbdCVJzWOSK6mdmehKkvrFJFdSuzPRlST1mUmupE5Q+j66++23X9EhSFKpmORK6hSOo9veHEdXUlsxyZXUSey6IEmqi0mupE5T+kT3lFNO4ZRTTik6DEnqaCa5kjpR6fvoPvDAA0WHIEkdzSRXUqcqfYuuJKn/THIldTITXUlSVSa5kjqdia4kaTMmuZLKoPR9dA866KCiQ5CkjmKSK6ksHEe3vTmOrqSWMsmVVCZ2XZAkASa5ksqn9InuSSedxEknnVR0GJLU1kxyJZVRXYluRPwwIu6PiMcjYlFEvKvZgTXKo48+yqOPPlp0GJLUtkxyJZVVvS26nwfGpZS2BV4LfCYiDm5eWJKkVjDJlVRmdSW6KaVbUkprup7mj6c3LSpJUtOZ5Eoqu7r76EbEzIhYCdwO3A9c3rSoJElNZZIraTCoO9FNKU0FtgFeBPwUWNO9TES8OyIWRMSCCy+7rHFRDsAhhxzCIYccUnQYktQ2THIlDRb9Gkc3Ir4F3JpS+nqtMo6j2xCOoyupoUxyJQ0m/R1ebBj20ZWkjmKSK2mw6TXRjYgdI+ItETEqIoZGxMuBY4DfNj+8gTvhhBM44YQTig5DkgplkitpMBpWR5kEnAR8iywxXgJ8IKV0aTMDa5TVq1cXHYIkFcokV9Jg1Wuim1J6CJjUglgkSQ1mkitpMKunRVeS1EAnHjptFHAgcDBZQ8K+wJbAFsA6YDVwDzAPWABcP2v+jAf7uh6TXEmDnYmuJLXAiYdOGw0cD7wf2B1YAYwgS3CreQbwYmAlMPLEQ6ctA84HvjFr/ozFva3PJFeSBkGi+9KXvrToECQNYiceOu0g4IPAZGA9sHU+a7s6Fh9eUe6pwFTgvSceOu064IvAr2fNn7G++0ImuZKU6dc4uvVwHN2GcBxdqUOdeOi07YHvAEeRtdwObfAqlgP3Am+aNX/Gwq6JJrmStJGJbnsz0ZU60ImHTnsDcB4wkqzfbbMksv68XwI+sz5tWIdJriQ9qfRdF4455hgALrzwwoIjkVR2Jx46bTtgNnAksFULVhlkyfSHU0pvAf4CvK1GWZNcSYNO6RNdSWqFEw+dtiPwB2AsWVeFVtoK2GcIMX4DVU+mmeRKGpRMdCVpgE48dNrOZK2pO5NdQNZyEREAQxJ0S3ZNciUNWr3eAliSVNuJh057CllLbmFJbqWIYMjG7v0muZIGNVt0JamfTjx0WgC/APagDZLcSkOIVRHx9aLjkKQilT7RPfroo4sOQVJ5nQg8h+aOrNBnXb0YgFnAG4qNRpKK4/Bi7c3hxaQ2deKh0/YAbmXjDSDa0UrgrbPmz/hF0YFIUhFK30d31apVrFq1qugwJJVI3mXhAlo/ukJfbQV8/8RDp40pOhBJKkLpE913vOMdvOMd7yg6DEnl8jrgADqj+9dI4DNFByFJRSh9oitJTXAqMKroIOo0Anj7iYdOa+cuFpLUFCa6ktQHJx467RnAhKLj6KMNwDFFByFJrWaiK0l9M53O6LJQaRTw0bxvsSQNGia6klSnEw+dNgJ4O202Zm6ddgGeW3QQktRKndYq0WdveINDSEpqmAnAuqKD6KdhwIvJblUsSYNC0xLddhnzdvLkyUWHIKk8DqZzGwhGAJOAs4sORJJapfRdF5YuXcrSpUuLDkNSORxGNjZtUzzvyIOZNX8Gs+bP4M3Tm3I2amIzKpWkdlX6RPfkk0/m5JNPLjoMSeXwwmZV/JQdRvPWD72ZdevWN2sVAE898dBp2zVzBZLUTkqf6EpSI+QjFoxtVv0nfOI4HvvPY/z16hubtQrIbgm8fzNXIEntxERXkuozDGjK8FxHvvkl7D1hL77z6e+zbu0TzVhFlwR44whJg4aJriTVZyTQ8H4Fu+65C//vPa/l0u9cxr/uuLfR1XcXZNshSYNCp149LEmt1pTOswcffiBDhw9l/EH7sM8Be7Pb3k8D4IBDn83aNU/ws29d2uhVNrUTsCS1k9Inuscee2zRIUgqh9U040YREQwZMoRnv/CZm0ze4Wnb8/Rn7tnw1QGrmlGpJLWjSCk1q+6mVTyIeLtOqY2ceOi0lTT51P8Jp72NQ45+AVde/DsuOueSRle/DHjRrPkzbmp0xZLUjkrfR/e+++7jvvvuKzoMSeVwa9EBDNCWwG1FByFJrVL6Ft1jjjkGgAsvvLDgSPrFFl2pjZx46LSvAu+ncxsJ/j5r/ox9iw5CklqlU7+sJakIfwaWFx3EAFxbdACS1EomupJUv+vp3It4V2CiK2mQadoX9uIr5zar6qr2OvKolq5P0qB0J7AU2KroQPphGPDrooOQpFayRVeS6jRr/owEnE12K91OkoCrZ82fcU/RgUhSK3XqKbi6vetd7yo6BEnl8n3gC0UH0UcrgLOKDkKSWq30LbpHHHEERxxxRNFhSCqJWfNnPAZcTGfdYewx4HdFByFJrVb6RHfx4sUsXry46DAklctZwNqig6jTCuB/8m4XkjSolD7RPe200zjttNOKDkNSicyaP+MW4Ou0f1/d9cDtwKyiA5GkIpQ+0ZWkJvkU8G/a5OY4NawB3jxr/owNRQciSUUw0ZWkfpg1f8Ya4I3A6qJjqWEF8PFZ82fcVXQgklQUE11J6qdZ82dcT9Zfd0XRsXSzGrgB+EbRgUhSkUx0JWlgPg1cSPsku2uBO4BX2mVB0mBX+nF0Tz755KJDkFRis+bPSCceOu09wAjg/wFbFxjOauAu4PBZ82csLzAOSWoLpW/RPeywwzjssMOKDkNSieUtp28HzqO4kRhWAjcBL5w1f8bSgmKQpLZS+kT31ltv5dZbby06DEklN2v+jDRr/ozpwPHA47RunN0ErAK+Crx41vwZy1q0Xklqe5FSc0bGWXzl3JYOubPXkUdVnX7MMccAcOGFF7YynEaJogOQ1HcnHjptR+C7wOE0tyvDSuA+4I2z5s+4sYnrkaSOVPoWXUlqtVnzZzw4a/6MVwPvIBtrt9GtrMvJLn77CvBMk1xJqs5EV5KaZNb8GRcDuwJvAn5HdrFYf7s0bCBLbu8ApgM7zpo/4/RZ82d0yq2IJanlSj/qgiQVKb9Q7dfAr088dNo44ATgCGAC2XfwWmAkMJyN3ZXWkfW7jXz6IuAPwGzgL7Pmz2jnu7FJUtsw0ZWkFpk1f8bdZLcO/tSJh04LYDfgYGBvsmR3JNlte1eT9b1dACyaNX/G+kIClqQOV/qL0a6//noADj744FaG0yhejCZJktRPpW/R7dAEV5IkSQNU+ovRrr/++idbdSVJkjR4lL5F9+yzzwY6dhxdSZIk9VOfWnQjYp+IWB0RP2xWQJIkSVIj9LXrwrnAdc0IRJIkSWqkuhPdiHgL8Cjw26ZFI0mSJDVIXYluRGwLnAl8sJdy746IBRGx4MLLLmtEfJIkSVK/1Hsx2v8A56WU7omoPbRrSunbwLeh9ePo1nL66acXHYIkSZIK0GuiGxEHAkcCBzU9mibYf//9iw5BkiRJBainRfdwYBzwz7w1dxQwNCL2Tyk9p3mhNcY111wDwGGHHVZwJJIkSWqlehLdbwM/rnj+YbLE96RmBNRo5557LmCiK0mSNNj0muimlFYCK7ueR8RyYHVK6aFmBiZJkiQNRJ/vjJZSOqMJcUiSJEkN1dcbRkiSJEkdwURXkiRJpdTnrgud5rOf/WzRIUiSJKkApU9099prr6JDkCRJUgFK33Xht7/9Lb/97W+LDkOSJEktVvoW3e985zsAHHHEEQVHIkmSpFYqfYuuJEmSBicTXUmSJJWSia4kSZJKyURXkiRJpVT6i9G+/OUvFx2CJEmSClD6RHfXXXctOgRJkiQVoPRdF371q1/xq1/9qugwJEmS1GKlb9H90Y9+BMCrX/3qgiORJElSK5W+RVeSJEmDk4muJEmSSslEV5IkSaVkoitJkqRSKv3FaOeee27RIUiSJKkAkVJqVt1Nq3gQiaIDkCRJ6lSl77owZ84c5syZU3QYkiRJarHSJ7qXXHIJl1xySdFhSJIkqcVKn+hKkiRpcDLRlSRJUimZ6EqSJKmUTHQlSZJUSqUfXmzVqlUAjBw5suBI+sXhxSRJkvqp9IluhzPRlSRJ6qfSd104//zzOf/884sOQ5IkSS1W+kT38ssv5/LLLy86DEmSJLVY6RNdSZIkDU4mupIkSSolE11JkiSVkomuJEmSSqlpw4tFxLtTSt9uSuV91E6x9KRT4pQkSeoEzWzRfXcT6+6rdoqlJ50SpyRJUtuz64IkSZJKyURXkiRJpdTMRLed+pq2Uyw96ZQ4JUmS2l7TLkaTJEmSimTXBUmSJJWSia4kSZJKqc+JbkS8IiL+HhF3RsSpVeaPiIiL8vl/johxFfM+lk//e0S8fICxExF3R8TNEXFjRCzoodxzI2JdREyumLZHRFwREbdFxK2VcTZCRHw3Ih6MiL9VTPtSRNweEQsj4mcRMbreZfuyvCRJkvqY6EbEUOBc4JXA/sAxEbF/t2LvBB5JKe0NfBX4Yr7s/sBbgGcCrwBm5vUN1EtSSgemlCb2EPMXgSu6zZoNfCmltB/wPODBBsRS6ftk21lpLvCslNIEYBHwsT4s25flJUmSBr2+tug+D7gzpbQ4pbQW+DHwum5lXgf8IP9/DnBEREQ+/ccppTUppX8Ad+b1Ndv7gEuoSGTzpHtYSmkuQEppeUppZSNXmlL6PbC027QrUkrr8qd/Anard9m+LC9JkqS+J7pPA/5V8fyefFrVMnlS9hjw1DqX7asEXBER10fEZncVi4inAf8FfLPbrPHAoxHx04i4Ie8S0IjW5b54B/B/BS4vSZJUasOKDmCADksp3RsROwJzI+L2vDW0y9eAj6aUNmSNyk8aBrwIOAj4J3ARcDxwXiuCjojTgHXAj4pYXpIkaTDoa6J7L7B7xfPd8mnVytwTEcOA7YD/1Llsn6SU7s3/PhgRPyPrClGZ6E4EfpwnudsDR0fEOrLW5BtTSosBIuLnwAtoQaIbEccDrwaOSP0YxHigy0uSJA0Wfe26cB2wT0TsGRFbkF1cdmm3MpcCb8//nwxclSdklwJvyUdl2BPYB/hLfwOPiK0jYpuu/4GXAZuMUpBS2jOlNC6lNI6sv/DUlNLP8+0YHRE75EVfCtza31j6EPMrgP8GXtufPsEDXV6SJGkw6VOim/e5nQb8BrgNuDildEtEnBkRr82LnQc8NSLuBD4InJovewtwMVlC+Wvg5JTS+gHEvhNwTUTcRJYwX5ZS+nVEvDci3tvLdqwHPgz8NiJuBgKYNYBYNhMRFwJ/BJ4REfdExDuBGcA2ZN0sboyIb+Vld42Iy3tZllrLS5IkaXPeAliSJEml5J3RJEmSVEomupIkSSolE11JkiSVkomuJEmSSslEV5IkSaVkoitJkqRSMtGVJElSKZnoSpIkqZRMdCVJklRKJrqSJEkqJRNdSZIklZKJriRJkkrJRFeSJEmlZKIrSZKkUjLRlSRJUimZ6EqSJKmUTHQlSZJUSia6GrCI2D8iFkRE9GPZ90XEF3uYPy4iUkQsj4h3DyzSwS0iPh0RK/L9OazoeCSpi8eRzhAR78z3Y4qIvYuOpx4mujVExN0RcWS3acdHxDVFxdQMEXFGRPxwgNX8D3B2SinldX4tIh6JiD9GxG4V63prRHy927KzgGMjYsde1jE6pfTtbrHvGREbIuKbA4y/6SLilIh4ICIej4jvRsSIHsoeERG3R8TKiPhdRIytmHd2RNwREcvyMlO6LZvyZHZ5/vhO17yU0qeAZzZlA6UOlH8nLcg/K/dHxP9FxGH5vDPyz9ObKsoPy6eNq5h2SERclX8mH4uIX0bE/vm8Yys+i6vy76uu58tbvsFN4nGk+SLiWRHxm4h4OCJSL2XHR8QvIuKhiFiaL/eMivnHR8T6yvdiRBxeMf/u/P3aNe+KrnkppfNSSqOasY3NYqJbkIgY2u15n1rY6infila7iNgFeAnw8/z584CDgZ2Ba4BT8+nbAR8BPlG5fEppNfB/wCYJW52mAI8Ab+4pcSxaRLycbD8cAYwF9gI+XaPs9sBPgdOBMcAC4KKKIiuA1wDbAW8HzomIQ7pVc0BKaVT+eFcjt0Uqi4j4IPA14HPATsAewEzgdRXFlgKf7v59XVHHC4ErgF8AuwJ7AjcB8yNir5TSj7o+i8ArgfsqPpsDThY8jmQGw3EEeAK4GHhnHWVHA5cCzyB7b/+F7D1a6Y+V78WU0tXd5r+mYt7LBhZ6sUx0Gygi9o2IufkvqL93awn4fkR8MyIuj4gVwEvyX00fjYiFwIq8teC1EXFLRDwaEVdHxH4VdWxWvkoMKSJOjog7gDvyaedExL8ia028PiJelE9/BfBxsg/48oi4KZ++XUScl7dw3BsRn6n1RQ8cBfw1/6KB7Iv+mpTSGuC3ZEkdwGeBL6WUHq9Sx9XAq+rayRu3M8i+oD5B9gXwmnz6myNiQbeyp0TEpfn/T81bXB6PiOvybWt2K/3bgfNSSreklB4ha7k4vkbZ/wfcklL6Sb5PzwAOiIh9IWuVTSndnlLakFL6M/AH4IVNjl8qlTxhOhM4OaX005TSipTSEymlX6aUPlJR9NfAWuBtNao6C5idUjonpbQspbQ0pfQJ4E9kn93+xOZxxOPIZlJKf08pnQfcUkfZv+Qtr0tTSk8AXwWeERFPbWaM7cpEt0EiYmtgLnABsCPwFmBm5Kewcm8l+6BuQ/YrFeAYsg/naLIP84XAB4AdgMuBX0bEFhV1PFk+pbSuRjivB54PdK37OuBAshbCC4CfRMSWKaVfk7VmXJT/ajsgL/99YB2wN3AQ8DKgVsvgs4G/Vzy/BXhRRIwka8G8JSImAs9IKV1Qo47bgANqzKvlMGA34Mdkv3Lfnk//JdkHep+Ksm8l226Ac8laRXfOl3k7dYqIw/IDR63HYTUWfSZZK0+Xm4CdanzpbFI2pbQCuIsqXQ7yffxcNv/i+31k3SR+GhWnWCU96YXAlsDPeimXyM6ufCoihlfOiIitgEOAn1RZ7mKy5K1PPI48yeNIY70YeCCl9J+KaQdF1g1iUUScXuUHz48i6/pwRUT0db+2l5SSjyoP4G5gOfBoxWMl2a/MauXfDPyh27T/BT6V//99sl/+3dfxjornpwMXVzwfAtwLHF6tfI04EvDSXso8QnZ6G7JWhx9WzNsJWAOMrJh2DPC7GnXNAr7QbdopZMnaRWRftNcC+wHvB34P/IjsC7ar/D7A+hr1j8u3aVi36d8Bfp7//0KyX+M75s9/CHyyou5lwFbA0LzcMyrq+Uyt17SB76W7gFdUPB+eb9O4KmXPq7I/5wPHVyn7A7IWp6iY9mJgC7ID3gzgb5X7rtb+9OFjMD2AY8kO/D2VefK7EfgzcBIwrOuzS5YgJWDfKsu+Anii27TDgXt6WafHkY3TPI5U35a9gdSH8rvlr/8xFdP2Ims1H0L2I+NW4GMV8w8FRubb+zHggcp9XfEe2bsV2zzQhy26PXt9Sml01wOY2kPZscDzK3+ZkX2Z7lxR5l9VlquctiuwpOtJSmlDPv9pvdTRU51ExIcj4rbILpR4lKx/5/Y9bMdw4P6K7fhfstaFah4ha1l4UkrpqymlA1JKbwbeRPalNAR4N9mv89vI+1zltgEeq2O7urZnJPBGsi86Ukp/BP5J9osbsl/dx+T/v5Xsi2wl2ZflMDbdP/Xsz4FaDmxb8bzr/2V1lO0qv0nZiPgS8CzgTSn/1gFIKf0+pbQ2pfQoMJ3sy2w/JFX6D7B9tdP2NXwCOI2sFbjLI8AGYJcq5XcBHu5HXB5HNsbtcWSAImIHsj7kM1NKF3ZNTyktTin9I2Vd4G4m68YzuWL+/JTSqpTSypTS58ka+l7U4vAbxkS3cf4FzKtMjFN2GuekijLVrpSsnHYf2RcE8GT/od3Jfo31VEfNOvN+VP9N9kXxlDxhfwyI7mUrtmMNsH3FdmybUqp1tf5CYHy1GRGxE9mX0plkSdnClPUXug6YUFF0PzY9td+b/yJL/mbmp+gfIPsS7zp9NBfYISIOJPui6jrd9BDZqbTdKuravd6VRsSLYtOrVLs/an0R3MKmp9QOAP6dNj2NVLVsfirz6VR0T4iIT5Nd2PKyVL2vWqXExtdaUuaPZN9zr6+ncEppLnAnFY0dKetW9EeyZKm7N5H1Le0rjyPdeBzpn4h4ClmSe2lK6bO9FO/tONHRxxET3cb5FTA+Io6LiOH547lRcRFAHS4GXhXZ8FLDgQ+RfVlcO4C4tiH7UD4EDIuIT7Jpi+G/gXERMQQgpXQ/2YfjyxGxbUQMiYinR8SkGvXPBZ4TEVtWmfcV4Iz8V/A/gOdGxCiyU3iLK8pNIrtitl5vB75LdsrlwPxxKNlFW8/OvwR/AnyJrD/Z3Hzb1pONaHBGRGwV2QVedV+lm1L6Q9r0KtXujz/UWHQ28M7IxokcTdY69P0aZX8GPCsi3pDv00+SfbHfDhARHyNrXTiye6IcEc+MiAMjYmi+n79MdnC7rd5tlAaDlNJjZJ+tcyPi9fn3wfCIeGVEnFVjsdPIkr1KpwJvj4j3R8Q2EfGUiPgM2WnwqiOr9MLjyOY8jpD9YMn3zxb58y2jxigREbEt8Btgfkrp1CrzX5n/gCCP/3TyURkiYo+IODQitsjX8RGylvv59W5juzHRbZCU0jKyzvZvIftF/QDwRaDu4UpSSn8nu7r3G2SnvV5DNsTH2gGE9huyfpyLyE5nrWbT0yxdF1L8JyL+mv8/hezDdCvZKaU5VD89R0rp38BVbDokDxHxUrI+PT/Ly/0FuCxf90uAL+TltgSOJutv2quIeBrZaauvpZQeqHhcn29n16/xC4AjgZ+kTS+2mEZ2yu0B4HyyizbWVNR/S0QcW08s9UrZxRpnAb8jOzW2BPhUtXWmlB4C3kB2sckjZBeDvKWius+RDYN0Z0ULwMfzeTuR9Wd7nOwAMA54df6FLalCSunLwAfJfng+RPbdNI18iKsq5eeTDdNUOe0a4OVko6XcT/bZPgg4LKV0Rz9i8jhSwePIJsYCq9h4dm8VFRfwRTYGdNex4L/ILlQ+oVtr8R75/COAhZGN3HE5WeL+uXzeNsA3yV6ze8n6m7+yxhnIjhAV3fukfonsiuAfAM9LfXxDRcT7gN1TSt1bSrrmjyX7MK8GPpJSmjXQeLvV/0Vg55TS23st3OEi4lNkB/YRwNZ5y4QkFc7jSGeIiBPIhivbEtg/pbS4l0UKZ6KrQSU/TbMFcDPZL97LgXellH5eZFySpM7gcaSzeL97DTbbkJ1m2pWsX9mX2fyOMZIk1eJxpIPYoitJkqRS8mI0SZIklZKJriRJkkqpaX10txk5Jq3f0DWq0cZxhjcZcThqTM+fxeaTgOi5bFTOqT6+8ZNLRPdptZeM6sFUibPWWivK1tzuvsTYLdLoPr1a4Sr7le7bVqP+bgtWr3/zV7ra61J1Umw6ZbPiPa2720pqze+pzuxp7zux+vZ0i7v3N0CtxTcv3lOF1cKte4dXFq2n/optrP5G7GUllZNqvSD1xhPcdOttv0kpvaJGDWpDtY4Jmzzr8bux1ndK9WNCtbI9fTt3/87t7Ziwabg9HBPygj1+10cvy1eJr1bZnj5f1eKqWkc/jgnV6+/hmNDb8lW++2otW+t41PVP3ceEzerty/do7UI9HhcqZtZzXOj/MaFWgRpPq70JetrGzd+I1VdSdb29HBN6jafnY0LTEt31G55gn10OzkKIIQzpeiEjGJKNKU08+SHbdNqQJ6cPebLMkF7LZtOjYmcMiXhyB/al7JCIKuUrD/Sbz6uMs7LebP6myz1Zlth8+2LTeDatt3qsXcv1Vnbj/Ip9H5vGF8Gm20q3urqtb8jGok8uX1k2YvN53WPsmldZ96b7m83WW63eastvtuyQ6tM3i7H7tg6pXXazGIZsrLvquiKqxlE5H7J1bvK8Io4n17VJDPHkOZqITd+HVC7bbX8zpKJsZX2blI+q9Wzc5or/N9kXldM3fR9uut4q66vcL0Mqnkfw1AOeW+vWo2pT3Y8JwGbHhVrHBKg8Bgyp+n2+sZ7u37+bHkeqHRN6K9v9mLCxfK3jy6afv02+O3s4JnTtk56+y3s7ZtQ6JlQr29sxoev5Jt+pNY4JlevsfkypLBtV6u6+rd2PCV111/xe76HezeKv9t0/pHpd3Y8JXdOeLDuketlq8VQeFzaLoeI7v7f5lc8r43hyPTWOCZtMg56PCbDZcaGnY0Jl7E/Oq3VMyOveOC82mV71mFBZb+W+qijb0zHBrguSJEkqJRNdSZIklZKJriRJkkrJRFeSJEmlZKIrSZKkUjLRlSRJUimZ6EqSJKmUTHQlSZJUSia6kiRJKiUTXUmSJJWSia4kSZJKyURXkiRJpWSiK0mSpFIy0ZUkSVIpmehKkiSplEx0JUmSVEqRUmpOxRG/BravMXt74OGmrLizuB82cl9s5L7YqNa+eDil9IpWB6P+6+WY0Gx+pnrnPuqZ+6d3Re6jmseEpiW6PYmIBSmliS1fcZtxP2zkvtjIfbGR+0KN4Puod+6jnrl/eteu+8iuC5IkSSolE11JkiSVUlGJ7rcLWm+7cT9s5L7YyH2xkftCjeD7qHfuo565f3rXlvuokD66kiRJUrPZdUGSJEmlNOBENyJeERF/j4g7I+LUKvNHRMRF+fw/R8S4fPpTI+J3EbE8ImZ0W+bqvM4b88eOA42zFQawL46KiOsj4ub870srljk4n35nRHw9IqKFm9RvTdoXg+198byKbb0pIv6r3jrbUZP2w935e+XGiFjQws1RG6rjPbZHfty5ISIWRsTRRcRZlIj4bkQ8GBF/qzH/2Hy/3BwR10bEAa2OsWi97aO8zOH5d84tETGvlfEVLSJ2zz9Dt+bbP71KmcjzlTvz99Nzioj1SSmlfj+AocBdwF7AFsBNwP7dykwFvpX//xbgovz/rYHDgPcCM7otczUwcSCxtfoxwH1xELBr/v+zgHsrlvkL8AIggP8DXln0tha4Lwbb+2IrYFj+/y7Ag8Cweupst0cz9kP+/G5g+6K3z0fxjzrfY98GTsr/3x+4u+i4W7yPXgw8B/hbjfmHAE/J/38l8OeiY27DfTQauBXYI3++Y9Ext3j/7AI8J/9/G2BRlc/Z0Xm+Enn+Uuj7aKAtus8D7kwpLU4prQV+DLyuW5nXAT/I/58DHBERkVJakVK6Blg9wBjaxUD2xQ0ppfvy6bcAI/PWrV2AbVNKf0rZu2c28Pqmb8nANXxftCTq5hjIvliZUlqXT98S6OpQX0+d7aYZ+0GqVM97LAHb5v9vB9zHIJJS+j2wtIf516aUHsmf/gnYrSWBtZHe9hHwVuCnKaV/5uUfbElgbSKldH9K6a/5/8uA24CndSv2OmB2yvwJGJ3nM4UYaKL7NOBfFc/vYfMNfrJMfrB6DHhqHXV/Lz81cHqHnK5v1L54A/DXlNKavPw9vdTZjpqxL7oMqvdFRDw/Im4Bbgbem8+vp85204z9AFnickXezeXdTYxf7a+e99gZwNsi4h7gcuB9rQmtI72TrFVOmxoPPCXvSnd9REwpOqCi5N3LDgL+3G1WWx2j2vVitGNTSs8GXpQ/jis4npaIiGcCXwTeU3QsRauxLwbd+yKl9OeU0jOB5wIfi4gti46pCD3sh8NSSs8hO816ckS8uLAg1QmOAb6fUtqN7PTq+RHRrsfBwkTES8gS3Y8WHUsbGgYcDLwKeDlwekSMLzak1ouIUcAlwAdSSo8XHU9PBvoBvxfYveL5bvm0qmUiYhjZ6aL/9FRpSune/O8y4AKyU1LtbkD7IiJ2A34GTEkp3VVRvvLUUbU621Ez9sWgfF90SSndBiwn77dcR53tphn7ofI98SDZe6YT3hNqjnreY+8ELgZIKf2RrCvM9i2JrkNExATgO8DrUko9HqsHqXuA3+TdLx8Gfg8Mqov2ImI4WZL7o5TST6sUaatj1EAT3euAfSJiz4jYguwCkku7lbkUeHv+/2Tgqry/aVURMSwits//Hw68Gqh59WMb6fe+iIjRwGXAqSml+V2FU0r3A49HxAvy0/RTgF80eTsaoeH7YpC+L/bMEz4iYiywL9nFV/XU2W4avh8iYuuI2CafvjXwMjrjPaHmqOc99k/gCICI2I8s0X2opVG2sYjYA/gpcFxKaVHR8bSpXwCH5cekrYDnk/VTHRTyXOQ84LaU0ldqFLsUmJKPvvAC4LE8nynGQK9mIzv9s4jsatfT8mlnAq/N/98S+AlwJ9kIAntVLHs3Wafv5WS/kvYnG43hemAh2cVI5wBDBxpnKx793RfAJ4AVwI0Vjx3zeRPJDt53ATPIb/LR7o9G74tB+r44Lt/WG4G/Aq/vqc52fzR6P5BdXX9T/rilU/aDj0LfY/sD8/P3zI3Ay4qOucX750LgfuAJsmPuO8lGPnpvPv87wCMV370Lio653fZRXuYjZCMv/I3s1H3hcbdw/xxGdm3Ewor3ydHd3kcBnJt/Dm+m4NGSvDOaJEmSSslO+JIkSSolE11JkiSVkomuJEmSSslEV5IkSaVkoitJkqRSMtGVJElSKZnoSpIkqZRMdCVJklRK/x8VpTPC40zvewAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 864x648 with 5 Axes>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_error_map(backend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's plot the layout of our Bell state circuit transpiled for our target backend\n",
    "transpiled_bell = transpile(bell_0, backend=backend)\n",
    "plot_circuit_layout(transpiled_bell, backend=backend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# display the layout of transpiled Grover's circuit on our target backend\n",
    "transpiled_grover = transpile(grover, backend=backend)\n",
    "plot_circuit_layout(transpiled_grover, backend=backend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# what if we want to specify a custom mapping of our circuit qubits to device qubits?\n",
    "# let's create an initial layout\n",
    "initial_layout = [2,3,4] # virtual to physical: virtual qubits are ordered\n",
    "transpiled_qc = transpile(grover, backend=backend, initial_layout=initial_layout)\n",
    "plot_circuit_layout(transpiled_qc, backend=backend)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Section 6: Construct visualizations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Draw a circuit\n",
    "\n",
    "Till this point we have alaways used the **matplotlib** drawer to display our circuits. Let's see how other drawers look like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───┐     \n",
       "q_0: ┤ H ├──■──\n",
       "     └───┘┌─┴─┐\n",
       "q_1: ─────┤ X ├\n",
       "          └───┘</pre>"
      ],
      "text/plain": [
       "     ┌───┐     \n",
       "q_0: ┤ H ├──■──\n",
       "     └───┘┌─┴─┐\n",
       "q_1: ─────┤ X ├\n",
       "          └───┘"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# for example, let's draw our Bell's state circuit in text mode\n",
    "bell_0.draw('text')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are plenty of ways to customize the output. For exmaple, display qubits in reversed order:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 206.852x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# qubits in reversed order\n",
    "bell_0.draw('mpl', reverse_bits=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 248.222x173.376 with 1 Axes>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# More customization\n",
    "style = {'linecolor': 'red', 'backgroundcolor': 'grey'}\n",
    "bell_0.draw('mpl',scale = 1.2, style=style, fold=-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Viualizing a State\n",
    "\n",
    "In many situations you would like to see the state of your quantum system. There is a bunch of ways to visualize a quantum state. A standard way of plotting a quantum system is using the Bloch vector. This only works for a single qubit and takes as input the Bloch vector given in cartesian or spherical coordinates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9BFU9z8Pf/u3f4siRIzhw4EA05ih7KJaNo5smqrUaKICJqSnM79mDsbGxkR9+92GkFTPClsa4ruuwdB21jY0wuOm6UcBSVVWUCoWoHJ4wknMdBw1djwKn3cBdBgAQgBUCJWi4IP47RvxN78XQFHTk0ruskIkX+sRFwbjhklEUZBQFfjYL07ZRrVYB20Yhk8HszAyCIEC90UA2m0VW05r88EmwHQciCyRHY43t1/G8xNUJDxCLrDArPglw94+ImMsmntLZAZIk4cOPPsLvf/c7jI+PRzn2XDuHT3yEEOSzWeQ1DYZpYnN1FZZlYWJyEuPj4yiwgPAIuxsji/01gO/7aDQakShVdWMDVr0OUZKgynJIZJoWaa+0IvB9VGo1AECxWNxmJsRJPHH/MWu9E+Kfiax29r/neWFGDSvN58HWVvBALc+kEQUBYITpWBYcz8OtW7fQqNfx9ttv43e/+x2++uor2JYFSggcx4n89JqmIZ/LQctkthUtVWo1EEJQKhSaXo+PKOBVpeyH/80rTJOqaoWY1julFDJLo+QxirgFnvTs3r17Fw8fPsSXZ882jZmnp0ZZN+w9z/dRrdUAUQwFyUol5PN55PP5EcG//BhZ7K8jAuYyMAwDuq6jUavBNk3IACbGxlAsFqGqanKOdQwNXUcQBCgUChCA1O4RYKuSMlWQkZMW8zP7vh+mSrLAKBBaoAIv/OEuDm75tuaOs3NgmiYcx4EfBLh+7RoEQcBnn30WrlQEAWPlMuq6DhoEGB8bC1c2sWAxCEFW05DPZqFpWkS+fFzt0hR5FhA/D9EKJuaOiRO+H5u0XN+H6zgw2XnhlbsR0QPNcQe2/UOHDmFleRnXrl7Fm2++uXVqgSYXEIBotTBeLsO0LDQ2N6NzbxgGNE1DsVgcuWh2IUbE/orCNE1UKhVUq1UYug54HgQAk6USisViaJlzi68N6RK2HdfzkM1mIfdpwbXmbke+cG55BgEc14XLmmrEM0MkpuQoShJkRpRtZQZiAUOe5mhZVmj5CwIu//QTyqUS3j19GrphRLnyIitOatTrsCwL2WwWM1NT4aRgWaHsrmVhRdcBQkILnpErgMgyjssHkxZrOj5egRAEggBCKQRJgthSXMU/67guXJbx43oeXNOEybYltRI9I3eBELz//vv4zd/8DWZmZjA1NdX2usRjHpqqQhQENDY34bsuiqUSKMvfLxQKyGazo2KnXYQRsb9i8H0f6+vrWFlZQb1WgyIIyEgSCmNjKORyTcSRSOgxF4jPgqWSJHX1ObdDnITjlaWe60bWuB/zR3Mi52mSnECbtpMwXr79IE7oAFRVhe/7+Oabb7B/3z4cP3EiUovkpfcEgCQIKBWLqDOXFQ0CaJqGXC6HXC4XkTx3ZxmNBkwWiC0WClH6JN8e5ee2jbuIDbjpvPC/+TUSBQFEVSM/Pm9K0o3oFUXBB2fO4LvvvsMf/eIXUNrpx0enMAyqSpKEQj4P07bx7PFjZPN5jE1ORqueUqk0kivYJRgR+ysCSik2Nzfx5MkTVDc3oUoSypqGcqkUSck2kXrzl8GbWMSt6zqrNs3ncqnH0FrZKQCRsqHreVEzC2CLkBSWNim1uFKa/m7dTwspUoSyB4ZlAZRCZXrt1WoV33zzDd48dQoHDhyI8uAppU0kxV0lhXweOtNI9ylFjpXlC4KAnKYhp2kIKEWj0cD6xgZ818X6+jo2NjdRLBRQYsHHOHnHs16426ZTemT82KKiJISuEzkWvO5E9FlNw/zcHL67eBGffvxxGASPZfe0A8+EEgiB2WhAr9WQL5VQLJfhui5yuRwKTCdnhJcXI2J/BVCpVPDo0SNsrq9DJgRT5TLGx8agKkqU+pfUcCLyCycUquiGAc/zUMjnuz7EUfA0Fuz0fT/MK7espurNqGiJWeQcnTTTk/YV/6TtOGFlKaWQRRHZbBaSJOHps2e4+OOP+PDMGcxMT0ff566euGsp0p0hBLlcDqIowjAMBL6PPLfG2WcEALlcDp7nIZfLwfd9VKtV1Go1VGs1FPJ5jJVKWznuWztpOo5uTUA48Sd9HwhdOkoL0fNVkOt5WNi/Hxd/+AFXr1/HwYMHoSpKc0CUxvR2YoQvEBIWdYkiDNNEbXMTjmlCyWSg5fMwTRPlcjmMz4zwUmJE7LsYQRDg4cOHePzwIYQgwMz4OGYmJyHJcqQzzvO5o2U/sI0YW8G1znmxUlvEc6QBgIaCYLbjRI0kZEmCzAglHoSLZ9L02oSajz0IAjR0HZ7nQZQk5DQtssLv3LmDW7dv44vPPkO5XA73w77rum6kOdO6XT7BZJjVqhsGao0GCvl86BrBVoYJr6TNahqymgbbcVCpVsNOSEx/plwqhRo0LWMPDz/mm2+Z2HhhVeuk2vQfGwP7QiTvoMaI/t3Tp3H+wgXMzc3Btu1QgoG5d7hOT2xAEcELTI8nq2kwKIVpWSCCAFqtorq+jsrYGPYsLGyTLh7h5cCI2HcpDMPArZs3UdvcRCmbxcLevaHlxopbOAG1zR/vAC57m2nVFUmYEChCOQKbiU8BYTZIVtOgqmrk9/Z9v+2E0tT8uWnj7XVYHNdFQ9cBMP0X7kcGcP3GDTx6/BhfffUVsrFj4AFGz/PaW5ux/SmsaUedFXMVCoVIjIwgjAfEOyGpioKZqSm4rotqvY56vY4nhoGsqoYusfhYAIBViDalizKXWVu3WetwY+NuLXQSBAHTU1MYHxtDrVrF3Pw8HNuO4gQy09iRJam5noCNSSIEriCErjxdh2EY4blWFFTW16HX69h/8CDGJydHrpmXDCNi32UIggArKyu4f+cOqONgz9RU6GZgDyQndWAr4NjLQ8f1ReJpdUnpkK7rRjotYPvRMhkobAkffm2rgnSbdRjDNv95uMHEcQeUwjQM2K4LURSRz+W2XDqE4N7du3j44AG++sUvIvKOV6NyVUnuhokaVreOge1bkmUU8nnU6nXUmeUeCXQJAny61fCaf0eWZUyOj2OsVEKtVkNN17G4sgJFllEuFlFgVi6ffJtPBgswsxTRXlYziSQP4NixY/j+++9xcP9+ZFQVnufBdhw47EcUxVBATVGaXE5AWFAVIHQ9NXQdumlGPnzTsnDz2jXMLyxg34EDI+2ZlwgjYt9FsCwLD+7fx9rKCjKCgL0HDmwthbnLBYgsY9LFh5sE07YBSqFls9t8u34QhGX5jhMFQLlIlsR0WOLgFjIPPnKrPQmcTPkE0DQ5sd+u56HRaISriUwmrIxlKwIAWHz2DNeuX8fZs2e3SJ2dGz7JOKw9HS/v5/tOGg+HKIohsTUaEbnzCZNLIPD0zaa0RlFEeXwcxXIZ9XodtVoNKyzQWioWQ/33hPPRJCfQIbumE+JbnZqaQkbT8OTZM+zduzeKcWQ1LZqcDdOEYVmhkmfsevJCKUEQkM/nUa/XoRtGVLjlOA4ePXiA6uYmjp061bRyGuHFYUTsuwSrq6t4/PAh7Hod48UiZqenocTcCT5zuYgxEu4JjJxs224KbFJKI+uOF+TIkhRZ52lXA4QQiJIEjxcrMaLiGSo8iBfPBd8aWiglbNk2BEFAIaEqcmNzEz/88AM+/+yzxJZ1QEh2vudFRU3tT0Vz1SuAsBtTNhsVLuWYtnvA5Bh4imNrIJK7NYqFQphxw/zv65ubWKtUUMjnm8TEXM9r+n7r5Lpt+ylAAJw8fhyXr1zBwt690TESEkpI8JRQm5G84ziRTLHClDE934fAsobq9Toauo5CPh9Z+bVaDT9++y2OHD+OSRaoHuHFYUTsLzkcx8Gjhw9R39wEdRzMTk9jbGysqcEEZa6OKKiY8sFvIjBBgG2a8H0f2Xw+atzgxjJatEwm7AkaI8W0vmBgK188KkDiAd0OJOt5HvRGAwGlyKhqYlegRqOBb86dw5kzZzA2Pp6w45g0AVN27DjONsejqmrkCiKCEBYmxfzh0SqjTVohISQq1zeZEFedZdLwxh3xXHieghp9H1tBZ4qY2yoFZmZmcPnqVSwtLWF2djZSgIxcLiwuomUycF0XtuPANM3IF89dc4IgoFAooN5ooNFoRNIDxXweDV3H9StXsLBvX+iaGUkSvDCMzvxLjPX1dTx7/Bi+40CTJGjFIkox6w5AmA3R8r1utB4RUZw4aNhOLggC6ExvnRCCDLPaWi3kKB+bS8SmBbPcgyAAoRRBu0mBZdiYhgHCfOlKQnGMbVn4+uuv8eabb2J2djZ5l+w3L9lPq4GSNGlpmQyCIIBtWRBbujfF99epQAlAKLLG/NSVWi30xdfrKJdKKBYKWz1R20wQ8dhJGoInhOD4sWO4efNmeJ5aUilp7HM8hZKnrMYlkPlKLZ/LheTO3DKiIESvPXn8GEajgYVDh1AoFruMbISdwCja8RLCcRzcvXMHj+/fhwxgnKktFligMHJlJDzQFEgUlwJiFjon9Bj51Op1VGu1yKWTz+ej4qZtRBgnux5WB/yTArZUDpMQ+D5q9TpM04SiqigVi4mk7rku/nDuHA4cOBBK1XYBXymk1j5pM76spkFR1agNXTsxMm51dzpDkixjrFzG7MwMMqqKSrWKZ0tLUVA6CU1dp7iPH2jqSpWEPfPzcBwHa2tryeNtOV5RFKFpGkrFYthWkKd/1uugvHCNFWvxyS3HiuEq1Sru37qFpw8fwo9p/YzwfDAi9pcMhmHg9o0baGxuYrJYxHi5DAo0pQ9Gj1+boN82VwK3zrjLI0botm2jUq1ifWMDgihirFyOiJRXK/I2dXErtJeQLC/8iVwJ7LfAgnNx2JaFar0OnxUG5XO5bZ8BQnfT+QsXMD42hhPHj3feN4MfS8dMg3bHyAlMlqRIYKwThPgkysfFUkD5JKyqKmZnZjA5Pg4aBFhaXsba+jq8lLESTugUW3ruQYzwgdCddvzYMdy6ebPdRhIJnlvxRaYZQylFvdGAZdvIqCook1sAEAVleaOWjbU13L5+HY16PdVxjDAcjIj9JYJhGLh3+zZg29gzMwMtk4FpGFBVNRJhioKMbayyKPgYT+NLsI4dRuiNRgOu5yGTyWB6agqyLG9ZgHH/Mcv66AWcVOKE3vp+pIlCCHSm0yKJIsqlUnvdd0px8YcfIEkSTp8+3T7Thn2Ww2Nt8YaRc00IQZHltTcajaZ89sTPh19CQCk8ViEa0O2plvl8HvOzsyjm8zBME8+ePUO90eh5bHFdniAIwn60QYCFffvCCtlKpf0GOMHzcbNzyNMii4UCMpkMPM+DaVmhPo9tRwF7WZaRyWRgs8pj13Fw/9YtbCSsFEbYGYyI/SWBYRi4f/s2iONgbnYWqqJAN03IitJU1s/lAdpSE3e3MLJMJPRKJSKLQj4f6rCzABnQbOW2I+Vu4NZ9p+/Ge5s26nV4vo9cLodiFy2SK9euQdd1nDlzpmPgNZ5+yC1kcYgBPYEV7wBhALeT5jxv/uH7PmhMxjhp9KIkYWJiIsx8kmVsbm7i2dJS15VBEqJJGVvXde/CAh49fpyYw992Gy3/a5kMioVClBllGAYqlUoUm9EyGaiyDNO2o0nvyYMHWHzypOdjGKF3jIj9JUC9Xsf9mzfDgqP5eSiKAsuyQJgfM05y7dLdmlwlCXAcB5VKBTVerZnPh2p9igKHyQdEWSotbpNeEFnpKdw1nGxrzLefz+Wa9M6TLPG7d+9i8dkzfPLJJx2DoK3ng/uikxqJdBtjO/Lj48xqGighIbnHrg1lLhHP88JG3EEQZi/Fs4rCwSVuP8O6O42PjSEIAjxbXsb65maqpiWtiFvxe+bnsbi4GBkJAWv6EXfbJB5vC8ELgoBcNhv54A3TxNrGRjQBaZoGAsCy7WgMa8vLeHj3btcVzgiDYUTsLxi1Wg2Pbt8GfB975+chMVeIZdvbslHaBUYpEKkqtlq6DtMvqdXroADyuRxKpRIyzF/vum5YicncHoMSOt9GGniuixrzvfKcaI7IB880XQghWFpcxI1bt/D5Z591F6BqISGeg99rV6BWa7UVfIz5bBYen6SYmmXch960TWxdJ0JI6Cprt31BQLFYxJ7ZWRRzOei6jieLi5GcQq8ghGBsfBweK/bi4PdWRPSdttHyv8hiM8VCAQ5r9F1nKxhVUbZqINgx1yoV3Lt1C24fK5AR0mFE7C8Qlc1NPLlzByQIMD87GzZSJiTUEqc0WuZztLpgoqBkq0WPmIUey2Aoxwidw3Yc8BZsg3qee5kULNtGrdGAwHzVnQiXADANAxd//BGfffwxskxGuFMWSOs4PM8L/fl9dgNqV51KEfruBUFAhuWAG6bZdXuc3LtNHByiJGFycjJ0z0gSNjY2sLS83Ld7Zm5uDk+fPm37GU7wvIAMaD4H/FrHzwq33AFEPWRdVulrsYpmvh1T13Hnxg2YfU5QI3TGiNhfECqVCp7dvw8CYG5ubkswy/dhWRbUTKaJhOI5zVEJe4Krwk2w0MulEjKs/D6+PUopPMeBwiaUXtGPlQ4gbMPWaEASxbDdXheypUGAb7//HkeOHGkqQGpdoXA3VYDmLBFKQ+Gvnt0w/DfbFm9jF1nkzL3DLVxexWlZVlM7v3aIApQ9aKxw98xYuQzP8/BseRmbfbhn9uzZg+Xl5W26MtvGSEhzemXLBBcVTDHZAU3TILJmKRmW8+94HuqNRjQJ8diP6zi4e+vWiNx3ACNifwHY3NzEszt3QCjF/NxcU442TxvLxjQ3eAob/7u1mQXY+/VGAzWWU9yO0DkIIWFTZUojN0xa9EvoFIiEpFRFCUk9Baldv3EDkiji6JEjie9Hbo3wn+bsHT6BMas6IvzY6wFtzgv32U/kluDEHpss4lWzcUs2y5qGNAwjdQVwlO2U8vOCIKBUKmHP3BwKuRxquo6nS0thf9aUmJqcRKNeh2Pb23zn7cAnyej8gE1MsSA113E3bTvKoCnkcvBcF+ubm1sTHovBBL6PB3fv9rXyGKE9RsT+nLG5uYlnd++CIAxiyS3iWa7nQZLlJiuWBsFWtksCSdvM7eK4LnLZbFtCbw2OOdwN00O7szih90LqAaWo1+uwbBtZVQ21VlKsEtZWV3Hv3j188P77bdMam8aXEOzk1mxSRkxctyZ6DduPrd1YCVpcFKwCk1Kammj5loWWSaIbREnCFHPPyIKA1Y2N1MFVQRQxMzuLxcVFNojuKqCtY4s34o4XZOU0DaChhnsUYC2V4Pt+mP9uWZHVTpjl/vDOnVEh0xAxIvbniI2NDTy5dw8SIdjDVPbi4LKycS0TvvyNHrrYw8Wt9HqjAUEUUSoWkctmE4thkipVHceBJEmp3TCdctI7wQ8C1Go1uJ4XZr60xA7awbFtfPvdd/jgzBmoaVUDE6xPXnHaqysm3e62uzJ4kQ7X2+kF/UjfapkMZnlwtdHA0spKKlfQ/Pw8FpeWml5r5/OnQNtMForwGscre3nQlGsN8VoMURQjV1x8AjJNE4/u3091vCN0x4jYnxNqtRqe3LsHhRDM79mTSDJuS+YGt5CaLhIj4SYrXdPCXptsm3GijtwGLRaZ7/vwfT+xVL8V/bhdODzPi9IZC/n8lpxuN8uUUvzwww/Yu7AQtbVLg6TtcktwUL3wdi6tpH1mMhnIsgzTNLdEz3rYT2+lYOGxTUxMYHJiAoHn4dnSUtcg7uzMDNZXV7dbymRLdiIeOO1m0RNCIkNEVVWIkrRVkcq0/TnBu8x650FtAqBRq+HZ48c9HvkISRgR+3OA4zh4dO8eZEHAnj172mZmeMy62eYyiOdjJ1jprYqHcbJpZ2E7jgOk8K/3SjBN+4ilM5aKxebm0V2+e/fuXRimiVMnT6beXzvRLD8IwqYhA1acJn6buXKSyD3HxLEajUb39MGW7/cTzAbCytWZmRkokoTVtTVsVqttPyvJMsYnJrC8stJ2XHwy7DU4SwiBKsvwmJAYT1v1PC+MrzBpZe6a4VhbXsZam/GMkB4jYn8OeHT/PojnYWZ6uqPV6HoeiCiGwawEqy1upWdbrHSOyMrvYp3yh03spEvOfvdDMZZto16vQ2R52E2TWRdrvVqt4vr16/joo496trKTyNtnUgLDQGIzESDxmARBiFIzu1nPiauBPseoqipmpqeRz2ZRr9WwtLzcVnNmz/w8nj171nF7vfak5Yin7wZsco1WpaIYVq7KcpNrhhCCxSdPsL662tc+RwgxIvYdxvKzZ3DqdYyVy8h0KKrhmRkS07yOW59JVno2QZe8SWyrg8XHu9m3s9b7DZBymJaFhq5DlqTUmS8cvufhwoULePudd5BjpDgIeKZLt5TKtGg9H/zI2pEf101xbBsOW5ElbzjhTPM89z6sd1GSMMX6nbqeh2eLi02WMcfs3BxWlpfbTrZRU230vorg4mFeLMAazzQihCCXy4XxiJhrBpTi6aNHI3IfACNi30Ho1SoqS0tQFAXlUmnb+zxLJaBhowwx1q6Np8rZrtvVSufbAraIJ1pGJ7kmeDAxIUtkENcLEJK6zoTL8oVCTznaAHDpp58wPj6OhYWFnr7XbtxcmKrTymQQRFo0HT6TyWQgSRJ0w2jb2aobZfbrRioWi5iZmoIkilhaXUW1Vmt6X2Ppme1WFNvy1nucaFRFAcFWBhZfiQZ0q5Wjqqpbrhldjwr0Ht2/j9Xl5fQHO0KEEbHvEFzLwsqTJwiCYFvwL3pUWJaKELfMYsUw9UYD9Xq9s5XO0vsSU/SQXPzSTZe8XxeAZdswDAOqoiDH1CiT0I4EHz9+jPW1NZx+552e991uzAE/1iGKfzUdFyf2Du4KQkgkP9zQ9eTjH9D/3wmZTAZz09PIZTKoVqtYWV1t8pmXSyVUEtQeuZZM0zD5T8rxCoIAWZZhu27kaol/kzc/EQUhdM2wgKuu6wCleHz/PlZbMndG6I4Rse8AfNvG6uPHMEwTU5OTEYFGeeQ8sNmy1CYklHW1mQJjKiu9S3FJUvoat9i5FRvP/e6XXmzHgc7cL11z1BNIUNd1/PTTTzjz4Yd9kXA7YuU9VodtsdPYNey0f45ILCwIEl0iac57WvmBJIiShJmZGYyVSrBsG09japGlUmmbjC8XaGs7FmxVkHaDylx+bswVxQPGRBAiNyQFkM1mI9cMX+E8fvAAyzzffoRUGLXGGzJ820Z1ZQX1Wi1sTNDiJ47raySRX0PX4XkeRElCnnVMSkJaIiZAKDIVE3byXHerrVs4kIF0YhzXha7rkCQpdL/0aH0GQYALFy7g+LFjKJfLPe8/Tqpx7RiKUGKBIEy75JNqfCKjbPxAsyUaHQNPFY29n/i5FAFGRVXheh4sy4IkSU31CqldYAkFVb2gVC5DVhSsb2xgcWkJ4+PjKJfLePjo0dZYupB6NJTYmDpNbJIkQRSEsCNWa1yHuSEDSqN7VGGpkrquw7QsyJKEpw8fApRiZn6+94N+DTEi9iHCt21YlQo2NjYgCALGWkiKk3qSn9JnanuO46BUKiGX4HYBGIn1SMRxcg9YGb2qqgNb6UCYydNoNCAKQpNufCe0UsDt27ehKAoOHz4cvh9zR/FAW/Sb0lACN0bO/D1enRseVEiAtXodsixvL++nod4OZS6veGwi/snWo4nLCYC5KhrMssxkMpFbTWDNrnnTa8L+zmazcD0PumGgVCw27TctWsfYK7LZLFRFwer6OjY3N0EQVkSHh5SO1ONjCf/oTO6KosBn9QyJ24md04Ctsgqs6bfJBMSePnqEgFLM7dmTenyvK0bEPiT4tg2v0cDa+jpcz8P83FyU3dKUY47tlrrruqg1GhAlKarOSyR1oG/rmpN7wPLXxQS9mV7heV4YAyAEhRSBUk4aPhPQCoIAhmHgxvXr+OiTT1Ct16Osicgyjbk6CCGRTK7AzhEBECAWY4hZ1H4QIOO60DQtVLVseZ+f42I+3yT4xf5oaijd+j4NAviM2AU2Vs/z2vabBdu3QEKhN9M04ft+FDfhmjMiy/fuCBLq4QxC7qIkYXpqCpVqFdVaDbbrhkHvHnWDoiFhq34iaVw8o4a2mTQio0cQIgkNCkDLZhEweQJKKRYfP0YQBNjTY3D9dcOI2IcA37Lgsw4ypmliYmICEivGaS0caoVtWajrOkRRRKlcRqVaheM40FpSI4dhXROwLBFCIPagD5MEj6WnEUJQKBabyIjLvfpBgIBVuPIgGcB8/OxcXL58GQv790PLZELrlmnnRFrssd9tg7FtLEXHdSFLErRMpsntEQdB/4FVvpLwPC+aPKLXgS19czYB8EwQQkgoFNZohBMDc7cFjNAIqy8QRRGCKEJkE1lT2iiboPrNMQfCwOb42FgU7L5z7x6OHDrUviVhGrQZl+d5UBQlzIgJgsQU2Ca/eyw9MqtpCIIgbPBNCJafPgWlFHv37et/nK84RsQ+IHzThG+aMEwTlWoVWjaLQj6/pcZIaVtSMkwz7PEpSSgWCgDC1C/DNMNqSZ7PPqAPnIPrfQiCADmWWtkruPZLEATIZrOwWb/LwPPCQpiYj5sAEUmpihKuYhCSytLSEkzTxOeffdZ3nnmnI/C7ZP8MA0nXhRACMdxx+JOAbC6HWq0GgrBaNKAUruuGEyET1/K4hjm/dwQBIpsUREb0fHXXbzokpRSapmFifBy2aWJlbQ2Tk5PIDGC5h3+Ebi7uouHSF57vw3YcaJ20f2J+d27J88mGa++sPHsGBAH2HjjQ1zhfdYyIfQBwUqeUhj5KQjA1OQmgsz+dUgpd12HZdpjvncsBbImuKAoMM+x8n8lkhkrqQEh20XKfBxq7EHzA3Aye58F1XVSr1ag/qWmaEVGLggCVKVPyQqsky8xj1vtPP/2E9957b7DioQ5j55Zhv+X53cDdQOEwepskRRL2BTUMI7JmCQC0rKR4TIG7rgLfh+t5W92HGHHylY0oSZBEMRR3S+Ea4/GJifFxLC4tQRIErK2uYnJiIrz/+gRPtQ2AqEuXqqqA44T3dkvDl8Rt8AA1pRBFEYqqwmduGQBYWVpCQCn2HTzY9zhfVYyIvU9wUgfCTBbbtjExOdkkvZrkT486yzDfb44pHfLvSMwasxmxD5PUgXBJLCe4ieLE5LFGEp7nwXNd+LxoivmGQQgmx8ehMAu8n3ZzN2/exPjYGKZ7EPjafmCdyZRPYjuG+KTdx+pHVRTYtg3DNNtKJwuEQJCkbQ8qBbYIn7m6XN+HZ1mw2ZgEhHowEdHHYjeUrQo4SuUybt6+jampKayur2N1fR0T4+PIalrPxxUHQUjsAiGQJCnMVPI8eL7f1j0W/y73u3PNdy2TgYmtvgVrrIBpRO7NGBF7HwhcNyJ1SinqtRoEUYyq52gQJAbAfN9HrV6H7/so5HJNUrTxrA1NVaEbBmzLGshqAppJ3fd9UGCbbovr+3CZxKoX69NJ2MOoMGlf0zSRzeVQzOd7JvM4GvU67ty9i3/wR3/U9zbYALta7L1ozfeDtE0qkkAIQS6bRa3RgGlZyKhqasufILyOoihGVj73X/OYhuf7cF03zFdn4+SrKJGRPSf6UrEIo9GAIAiYmZrCyuoq1jc2QMfGIuOjH3iuC891kWETBG/B6LXIU3c6Tu53Bytw0lQVZiygura8jFwuh4lBjIRXDCNi7xFBEMDj1YOEQG80YDkOJiYmwg/wm7AFLssgoZSiWCxul8uN+aUzmUyYG87yfvuVm22liOiB9zx4TJfD5xkIlEKSpLADDrPCo8IqGjbJ8ClFIZcbiNQB4MdLl3D82DFoA1qDnUiQF73sqMXOQXqX2eXg59yy7Wi11vcwEMYz+ITMw+88wOu4LlzHaTIi+IpLEkXkCwVUq1WMj49jemoKq2trWN/cBO/I1SsopTBMM2yVpyhRAZ4oCKGSaS9GC7PYKXu+spoGwzRDnzshePTgAbR8fluf4NcVI2LvET7LZOAR+1q9DoHlcAPYkgWIfce27TDzRRBQKhS2ZWFERTUx6y+fy2GzWkVD16PAai+IV7i6rgvbdVGv12HoOsCEuURJQkaWowc7mpB4qh8rGGk0GnBcF4V8fmAL+MmTJ7AsK8pZ7xc8FbGdn5ZLCQxL/KstuGtjgE1omgbXcWCaJvLsPhpsSCQq3+cQRBGaKELLZKK0U+5ycx0HDsK2fkvLy1BZFtHE+Dg2KhVsVCoIgqDn+9Bkqo7x+gYiCJBkGZZtd7x+nY6NT+haJgPTsqJK3ge3b+PoqVMDGx6vAkZnoAf4pomANyXg1rptR9Z60i1qmib0WOZLkvUdJGS+CNwqMQzYLMiaepy+H1pn7CfSkhEEaLkcSqVSZ8uQ53oLQhg/cBzkcrnB0uAQLr8v/fQTzpw5M3DTi3CY7Ukhaof3HCz2pPZ6vUAgBJlsFo1GA7bj9J1LHo0H4f3j+T7AMlPiZ4pb9JIkAey+8n0f+UIBtmVFbjkgJE/PdbFZrYJSilKxmGoMrudF922caAmlUGUZtm3D9bxUjV74MXEIhCBgvzm5m8w1+uTBAxx4441U23yVMSL2lIj71QlL5Ypb600Uw96PMl8UBfk2VZmU0rY+Wi3mkpFluSMZep4Hx/PgOE64zGW54IqqQpFlyJIUBm09L/Vy33aciNS1TKZpFdAPrl2/jumZmS231Q7C9/2mRhE7iUEbeABARlFgMQEsrmPeD/hKht9XNOV2RFFELpfDxuYmCsUifM8Lg5wsR9+t1bC8ugrTNDE5MdGxcQnv9yoIQmJao8h6Dng9EHv8OHi2GeU+d7YP0zTx7OlTFIrF197fPiL2FIj71fnNbBhGaK2Pjyd+vl6vw3FdaJlMW13xeNuxdshns6jUaqjV600WP0XoYnEdBw5TzqMsLSyraZAVZZvOTLvCkCR4nheJemXjaZfMT9ppQkpCrVbDw0ePBg+YYku0rNP+fVb4MwzS7YZ27fF6RS6bRaVahWVZPWWjJFXIRuMCUk/GmUwGtmWBAFsWPcL7RlVVbKyvo8IakpfLZchM70aW5SYxtIauI2DxmHbtBEVRhM/0e1JdoYRj4Cm7ACJyN0wTt27exDuvub99ROwp4HG/eixVrFqrbZXSxz4bUIpqrQaPNW5ul9WSlhhF1mmmVq+jWqshk8lEgTB+U/NmDoqidLT0giBIVWVJgwANVlWaz+e3CmQYBEKi/Om0hHbxxx9x6uRJZFS1rV5IL+h27nqZxHZ6LGkhShIymQwsywqD2F1WVpy0t+ngxBAJbKVARlWjNMKmbTDLe8+ePdjc3IwMjVw2G2XcSKIIWZbhOA78IEBO0zr6umVZDrspxQuwBkDcctcbDdy6ehVvvvvua+tvH8n2doFnmqCs4S4Ht9bHx8aaHmoKoF6vI/B9FAqFjqQOTo4pxsAtnEq1iuWVFTjMD5vP5zE2NoZ8Po+MqnYkdU7CXZf4lKLRaMAPgrbuo/i4ePpcJwnXR48eIQgCHBxWlWAKIvB9f0crTpvQ4dh7AqXhdRQE6IaReG9QbDWp4I2juw6PVft2g5rJwEkg9jjGxsYwzsTtuJtGYb1N19bXUa1WU7nAJJb26PJnq8v5a2tAsHsw/DMkd1GSsLa+jod37nTc5quMEbF3gO+6CCyruZCHWeuiKKIQyxLgpO55HgqFQtsAWKuQV7sbNqAUlm2jWquhWq3C9zyUSiVomgaRBVYVRUldmRpw90WXB860LNieh1w225O106rvwo/NdV38fPky3n333aESYCdEbqnnZLED2KriHQCRAiTTbed66ZzM/VilaC/7IkjX1i6TycB2nK6TQKlUQqlYhGPbqFSrUUquoqrIMXmEuq6jxtw2SY2wJeYm81gyAnfzJYHn57cD15UJN0EiYbVHjx69th2YXs91SgoEQQBf17e9bhgGbMfZ5lvXdR2u6yLHJFGTVO6SmjO0PqA8m8BmmhgCk3pVFQVEEOCytMVavR72E01JlFwxT+zweddxoJsmMorSUxZOK+IyCpcvX8b8/PyWzvqgvugU3+caMc/LFQNgKJMWvxdkWQ71yFkAclgZRN387aIoQpQkuI7TNQOqxO69zUoFDx8/RrlUQiGfj+59hxVGGaYZaaqrqtpUlCRJUkTswFalaSuiFW67Y2O+dq54yV1Hhmni1o0byBcK0F4zf/vIYm8Dn7XmiiPyrcfy1gFAN03Yto2MpnV2v6Alg4L9zWVJK9UqarVamCamKCgWiyiXy6G0AHu4ZVlGPp+H63moVqtNXWk6oZvF7gdB2IBaEAaqNIzDNE08fvwYp06diio04wHovizcFOQZpTo+T1dMHznZHBSh5kxUO0BpdB9xq30ow0zxmYyqRkJb3ZDVNKiKAs/zIvIGwuurKgoK+XxU++C6LvRGA9VaLcpv5zr5cf33dtpKvR6jLMtQFAWmaeL61atNE8jrgBGxJ4D71VthWRYcx2lqoGFZFizThKqqyMUyGZJ0WFpvWMe2UW80sFmpwDAMAGEThLFyGbkOZfuyLIfNsQlBrdGAzoTIOoEHLBOtP0qh1+ugAHKFwnDcJQBu3LyJAwcORHK2rW0ABaYJH1+GdzuONA+5zwLdz9ViRzriDLCV1RNQCj/eJCQGSRShsHzvTm6InsbHXD2drHaeGdMNtm2j0WhA0zTMTE2FRk+1uu1zPEurWCyGsgKEwLIsVGs1WKYZplUmGSexwq9Ux8+PDVvXIaOqEAUBmxsbePCa+dtHrpgW8Hz1VhImhEA3DARAlL5oOw50w4Asy4kpjXH1v/j2HNuGzgpBwKyb1kKOduDZNJIoolwsQjcMWJYVZeG08ytz/Zck141uGHBZbGBYfmnDMPD48WP88a9+1fmDnOjZ3/w3T4OLt7kDOlebcjzXwGkc8arjlnHz11tdIk3H0kK4mUwGDqsl6Chz28sQAUAUoy5FreBZOe3AZQJcpnWfjTUtr7NmMUkVqoQQKIoSdlLiBXSOA4sVKo0JApRY2mSUg99D1kx80uf3kZbNQtd1PH78GKWxMUzNzKTa1m7HiNhb4BnGtoeNd3WxTBMaa3/msJZwkiRtS3nc+ipt0o7hhO57HgTm8lBSyJc2bS8GQkjYF1WWYeg6qtUqcvk81ISijyh7omVftm3Dsm1omjZUwazr16/j8KFD23313SzuONEDTQ86t8SjY4iRJ2H/cwtvJ4g9XvTD/bl8vzx4GuWUJxxX16vccm0kJlXLXXPDWoHwrJWkcWYymbauGM/zYJomgiCAlsk0XdtyqQTP81Ct1SBJUsc8fJHJG/DUV5P1M+CVqpzg+TVPf2CkqaaAsAA697ffuXULE1NTz30l9yLw6h9hD/BsOyzBjoGTsmVZoQZ5NrvVEk4Q2pI6sKWk5zgONqtV1Fg+fD6Xw1ipBDWT6ZnUkz6dYf543pWnoevbHgiakNcdL0IalkUIhNoyzxYXceTIkaFtE4itNlpcF9E5YaQfsGYicTRRWOycB3xbnJhjP9Fr3F3CtxMLjLf+HnZBFG/pZ6f0e6dFuxTDJIudshhQgyUT5PP5bRM2ISTsxiTL2NzcTBUbIIQgo6rQNA1ZpmFjmCbqrPdv0GGVmfIgAUpDf7ssQ9d1PLx/v79t7TKMiJ0hCAIETDKAI347maaJgFJomQxqrHinWCx2vOls10WVFXM0Ebqq9uTH7kTqHJIoosRy523HQaVahRHzvQe8NyffZpcipEFw7fp1vHH48NAlc9P413nXnlaXUtPRxScF5hpplzPOPjT0cbb54raXJFGEqqqwY0Q3LCTdu6qqRj52ijB4W6/XYds2FFY70W41JIoiJiYmIBKCtfX1VAFLQRCiAqdiPo9sJoMgCKAbBqq1GhzH6a3KuXXSZ/dBJpOBIAh4cPduR1fTq4IRsTMEvA1ZGxis0W+90QClFMV8vq0/2nFdVGq1sFiJ0r4JHUhH6hyEEOQ0DaViEQrTHalUq2Euse83qTemLULqFfV6HSvLy3ijjRBTWu2SfhEFiV+Ej51h6FY7I6W02Sq9oLV4ibtiXOZqNEwz6jXA88M7QZYkTE5OApRidW2t62TEV1b8c4oshwYK06Y3TBMN1pgmDWjCSoRgK7/dDwLcvHFjKBIQLzNGxA6mUx6fxbmFwG4Qy7JClURWIFIsFBIDnQ5TwavV6wiCALlcDmVWVDSMFK60kFjxVDGfB2FVjDVWPAX0X4SUBteuXcORI0eGvt20Z4sHiZ9rcVILhk3sIgssOjtgtbcWL4miCMuyoDO3Sy6XC4PyPUyUiqJgYnwcfhBgbWOj45hbiR0Ir7UkSSjk85HMsGGaYa1ImvTPNudfZLLFa0tLWFtbS308uxEjYgdAbXubrGn85jB0HbppQmJL0dbOL77vo1KtolqrgVKKXDaLcqnU3NeRR/ijnaZwK/SyBE2ALMsoF4vI53Kg7Dg2NjZQr9cHLkJKQrVaxerqKg4dOtT+Q0N0UySBW+zdKmxfSnSYECKrfQfcCFy/vaHrsCwLAaXIalrivZ4WmqZhrFiE4ziJaZAcrcROKY209IHQgo8I3vdhWVZU4d0WrfdKLM1WURRIsox7d+4MPW7xMuG1z4rh1no8+6L1AatWqyCEoMQq6zgoQt+7aRgAy1BR22S58MmiNdjWDoOSehxcV8b3fdQbDQCAoqpwHCeUTR2ShXn92jUcPXaso7XerrqwG9KucHgsYWcdPi1ombSTGl2kQadjFAUh7LTEinuGkdnBJR946iFFeF8QSgfW3geAQqEAj91zndIgBUKiCbldvINLT7ssM0fXdSiKEhbvtZ7nViMqti/K4mSNWg1PnzzBgYMHX8ksmdee2Kltd3wAa9UqdMPA2Ph4U1Wp53mo6zp834esKMhns139urw4ZBhFOP2AUoocU5z0PA8NXY8yE1QmPtUvNisVrG9s4IMzZ4Y44t4RMLneF41+3DHdJj2VpT5aljWQJG3AdGi4a0cQhFDMS1FQq9UG6gbViqY0SFFMHLcgCJEGTie3DSEkInjTtuHYdtgUPpvdtrJIlFKOuViz2SxWV1YwMTmJUqk0hCN9ufBaE3sQBGHQlKHVWvdY2T4RBEyy5hAUYSDVZFZ+PpcLrfiUDzK/4YI2hTa9BEt7gef7sB0HY8znD4R67pZtR+3FJFmGpqqQ+shmuXb1Ko4fP97dF9vGmuqEXj4d+H5f4x82hqXRHocoCFBZyX8/Vrvv+7BtO5J8lphMcFxPXRLFoY6bEILJiQksr6xgY3MzbI7eshoQBAEO77+bcpvZTAayKMIwDBi6DllRoHVLH46ly4qiCNMwsLGxgdwQ+vi+bHj11iA9IIilA25zwVAKQ9fhOA7yzCJwPQ+VSgWmaUJVFJSLxb4yXUhMATGOnSJ1SilMw4DU0tFGZv7LcqkUWfE1pufBl/xpsLGxgWqthv379w955NEBpPsYwrz0Xbu0TnEfZTIZECC1r51b5/V6PWr+osgyCoUC8vk8FNZkOhqCIIAMeUIihGBiYgKSICSmQQqEwPP9nicUWZLCY5AkuLaNRr0eZc902hIPFquqiuXFRTSYe/JVwqs1TfWAIAgQuG7bGd40TTisX2g2lwt7f9o2iCCgUCyGvukBHoDWBgg7RepAKBng+z60YjGRPPhSXMtkYLsubMuCwaoBJdYhR5Hlttb41bTWOobvX+fCWX4QwHPdkPCCAA6zan3fj377vh/qmPs+At+Hxyauu3fvhs29RRGCKELkfwsCREGAIEnha4IAEv9cmyIfoH8/ezcIzHVmWlZb6YQgCKJ+t5xE+TXu1mKR55UPGzwNcmV1Fatra5iZno6qX3k8qeeKYRL2KVDZqkM3TRhM4iOTyUBsU13LK4Z5MHptbQ25XG7odRcvEq8vsVtWVMzQmkHBXRTU90PC8H1Qy0Imk9nSxuhBw6IdWsl9J0idK+8paVwshOnWxPU8XDcMEJsmRCZMJctytHRdW1uDruvYv2/fUMYb+D4s5ke2bRsmc3tZlgXbsqL3XNcNyZqRJ++jyRs1cwlaTsYSI2qB/2YEHQQBarVaKMbFthefEPgEQPnkwD7nsUmCE74oSdCYumdGVUOyURRkVDV6LcOaQLRDWotVZbnmtm1HPmvf9yMyj2SLGel1mpRbwV1I3O89TPA0yNX1daxtbGBybGxrhcUmwn6kIEQmJlfI5WCzVpGe54Vdxdrd8+wZVhQFK4uLGB8fx3hCm8vditeS2APPA2VZAK3VdzQIoka8hmnCcZxQKjc+ow9I6jT2wBCE7oOdIHVKKeqNBgQgUlhMC67nobFKQId1rjctC6ZlQRAEyLKMy1eu4Pjx413dH5RS6Kz5gsl0QSxG2HHS9jwvIkFOjlzCWJ2agprJRA8st665VWyxiaBYLKYmiKvXruH06dM9nZv4MfH+trbjQJakaOKxTBPVSgUrseO0LQtEEKJjiBN+JpOBwsrr87lcZ6uaEKiqCl3XQSmNJiEgvG7cb94PSQpMFwlAX/GQbtA0DWOlEjYrFWxUKiiXSuGxdgmcdgMRBCAIkGGa79wYcV23bWEVz8gxTRNrq6uRa+pVwOtJ7JYVWiXANoI2TDPSGmnoOvLMB71TTZEJIRDAXBSsHH5YMC0r7D+Zy0HX9b4nD0EQIvKJN1FYWV6GYRjIFwqoMfEnIgiwWLVgrV5Ho15HrVZDQ9dDEmNWraqq0DKZSG9eZQQXD+QBKSVbGbicwHPrdcpWCnyFUGhJ5+NB8vj/nutGwmvRCoSdL5PppBiGgVw2i0KxiHw+jyL7zQvduNStxQwPrt3Szc2S6piAKLAvAKn7pfaCfD4fFhwZRjS5EUEYaF88RsYbuudyOTiuC9tx0Gg0kGszWRJBQEZVsbK0hPGJibBq9hXAa0fsQRAkaq0DgMseNr6UVRQFpWJxi2jaKCT2DL4dSqMSaAKAdtHK7gWe78MwTSis4UBD14cyafAmCgRhL9Px8XE8uH8/DM6xysBMJoNCPo98Po/JqSkcfuMNlEulsDN9TFArDSIFxRTgbpmdmoQ7ImmfhDQ1QSeEQFaUMD02IaebrwAC30e9Xo+K3p48eQKdlfdLbPWYz+WgaRrUTAbFYnFbELTvw4hJDPBzOawsGR4PoQDGymU4KyuoVCqYnpoK3ZIDun7iksj8PpVEEbphoKHryCY12KYUgigisCxUq9WwreWQC/deBF47Yqcsar6txJ8VUliWBS2bhcR8sMNyvzSBLXFbdVPStC9LA8q0YAjCkvCBHkxKUavXsb6+jsrmJmqNBuq1WuiecV0s7N2LXC6H2bm5yHIMggCe58HzvGjfdSZxTBCSh8j83Z3IiMZ6WaZBEAQvREqg3dnlGiUdvxsjc8/34bluGNNB2Fu0XCpBlKRoVeDyDJdGA7VqFc8WF3H5yhWA0lBGgvUjHR8fR7lc7tmCb3LFgBF9rBK0X3A5ZQ5RkjA+Po6VtTVUq1VIsjyUCUQA4GPLGBBZ7rxhGNANA9lWeWq2MpFlGfVKBbViEVNTUwOP40Xj9SP2NloTlVoNOnO9FIvFUCSL0rZNqQcbRPsbOKpQpbRv14xl26HEcC4XVvX1kHHj+T42NzawtraGjY0NbGxsQFFVTIyNoTw+jj0LCyjk87h95w4C38fbb7/dcXu+78NlJO95XkhaMR8uIaGyX2s2itAiTpUGQRC8dPnI3OLlBM4DsAHP0mEWLIDoeouiCFVRwuBvy+QnyzKyuRx4uwi90YDjulBVFY1GI7T0KxU8ePAAuq5jbGwMkxMTGJ+YwPj4eCofcmtAf9BAKqV0S0s/hkwmg0Iuh7quQ2H+8YHB/Ob8HuPuslwuF+a8myYyQbBddlgQYDOfvGmaUa3HbsXL9RTsMAKW0dCKarWKWrUa+tPLZRBC4LpulO0w7AAS0D3tjxDSl2vGZ5KnsiQhwx5i2sGFZJom1tfXo596vY5SqYTx8XEcPHgQ77///rYHzvN9PHzwAF999VXX8YiiGAbx2DY40bemIbqet01ulVv3AvObR+30Yq9xcN30F9E5iRO363lhb1mWRcNTKz1G5nGIsRUhX720a37RCYqqwvG8KFd8ghXSAWFGFL+ut27exGalglw2G/mSJ8bHkc3lmvPY+WoyVkDXr0sm7nppt3IplUqR/suw0g0JEHVf4hOnIAjI5XIwTTMq8OJyBNzd5/t+2K6yXk+WKthFeK2InTpOlN7IGynUGw1UKxVks1lMjI9H5Oe6LqQ4SQzxIgcpsw0i1wyQ2nrXGw2ASQdsA6WoVqtNRO75PibGxjA2MYG3334b5bExSF2W748fPcL4xETyProdkyBAYq6F5qGFJMjTDbl173N3TtL5YoQjsPNksqwTnhfdJMCGmGuExTT4+3xSiXRKYvvjXZGa3mdj5CSuM62guFXLJyU+GSmK0kTg7QrUei7SYRMD10uPQ5IkzMzMYIa1g6Ox6//s2bPIhTMxOYmJsTFMTE5Ghk1rC8Jeib3V9dIOgiBgYnw8VCCt1VBKiD30A8JSiVuPIZvNhhlKTE4hm802uW0c24aiqjBNcyDZhheN14vYXTd6yHmjiWqtBjWTCS2d2E3gui5k/qAMc+ZuR1JtwG/MNNa7xcrFc9ls5Gs2TBNPnzzBg8ePUa9WoWUyocU2NYXjx4+Heuy9DB/A7bt38dZbb/Xwre4ghISuB76fFpLjRMqtsID/ZsFYz3HgeR7cThNBG6SpPGyaFNhkIjE3ief7EEQR+Xw+zKVnK4r42HdS/TujqmgYBjzP6yzARgjK5TLK5TIOHz4MYGvFtra2hkePHqHBUiivXr2KAwcORJk+fILqRtZxKz0tFFVFLpdDrV6HzjKCBgV3IdGE8cb17RuNxhaBU4p6tYrxyUnU6/VEue3dgteG2APfB2UNfANG6jxrpDXI5DFXQY67YYZ1cQdJ54r73hO2E1AK3TAgiSIs28b9+/exuLgIXdcxPTODPfPzmHvvPRTy+UGOAKtra6CUYrrfAFMP8gBxCILQUf/CZmJu8Rz2+OQQWd6xMfD3+OQWt/Djap/dHm7P8yAKQnuJ2x3IB49DVhQIlgXHcXqOMWiahr1792Lv3r2oVqs4d+5cqPjoOPj9738PWZYxOzeH+bm5sICnw7EEfaw4OPL5PCzWGEZVlKHESrhLhmB78ZeiKGFqLmv5l9U0CIIAj+no+L4fxdx2I14bYudBU0q3NGAEQUA2m922hOVNNeQ+dGDSDab/ySKJ4CmlePz4MZ49fYrNzU0AwPz8PN58663I58oFmAbF3du3cfjQof4tmbRuqDgRpwAP+MUn6LSpj/1qjqcFQUophT5Jkaf2maw+o59rs7y8jB9++AFvvvkmfrx0Ce++9x5AKTY3N/FscREXL16E47qYm5nB9OxsJAkQDjs5ONoLREJQKhSgGwbWNzcxM6TMFBILpLZCliQImoaGrkM3DORzORAA9UoFpYmJyJrfjdpDrw+xswCTaRiRBoyiKInd1F3XRQC0L0fuawCxh3YIk0Xg+1heWsLTp0/xZHERsiRhz549OHb8OEotBVXDykNu6DpWVlfx/gcfDGV7ndBPRkw7cbWdRtexprXYB7DsuVa7bdtN8tJp8ODBA1y/fh0ff/wxstnsVhCTEIyNj2NsfBynTp2Crut49vQpbt26he++/RaT09OYnZ3F3Ozs4BWbzBVXKpVQqVZRbzQGXl0CLBOsjUsGYBXW2Sz0RgOmZSGradjc2MD8vn1RxfBu9LW/FsQeeB6o78N1nKgcHpS2LTXmCnFDEwWKVx8OsBnbsrC4uIhni4tYW13F+MQEZmdnsXdhISxUKRQSOwdxy3XQKsJ79+5h/4EDg1n+KYm3V8uzX0t1aOiw79SjGuD6CKIIRVHgsAKxtLhy5QoWFxfx5ZdfIpfLodFotF3B5HI5vHHkCA6/8QZM08Ti4iKePnmCS5cuYXxsDHPMZZPtI6jOkc/nYZomarUaVEUZSok/5SvkNudXliSoqgrHtmGx58c0DEhMmmBE7C8pKBMFMpgPOqChFnW7G9h23R1bnvdKPTQI8OzZM9y7fx+VzU1Mz8xgYWEBH7z/PmRFgWXb0BuNMG0ttjRuJTkygDUIhH7kBw8e4Be/+EXf2wCQShK2H5IOfP+F9jnthlTumAGvkaqqkdxDN0L0fR8//PADbNvG2bNno8+7rps4cUexiiAAJQSZTAb79u/Hvv374fs+VldW8OzZM9y4cQO5fB6HDhzAnr170xsBses9Pj4e6rdXKpienBzYFcKzpnyarMkU+D5URUEQBLBtG4IgYG1lBTPz86jX621VNF9mvPLEToMAvmXB0HUIJCzpNk0TuUKhrZXlM83q4QygvwfV0HU8uH8f9x88QKFQwMGDBzH/6afNNzkNdda56iJHvCgmnos8iMX+6PFjTExO9pXiGEeaEfQzyoDSUEb3RWCH3SxpITE1y6TUxzgcx8H58+ehZbP47LPPmu6pVmKn2KoRAIvvAIgCzFybZXZuDrNzc0AQYGllBQ/u38flK1ewd+9eHDp0CMVisePY41dOFEWUSyWsb26i3mig1OW7aUAIgZjwDMT/y6gqDN+HaZpYXV7G7Pw8gFD7ftD7/nnjlSd237LQYO2+cvk8dFbaLiUVHrEgkOf70IYVDe8hUEqDAEuLi7h7/z42Nzexf2EBX375ZaKuCICoGUar+BTQXFRCKR2oeQIFcOfOHbz9zjt9byM+rmGDE88LbYnX5bhS5YEPgfi7pT42Gg1888032LNnD06ePLntff69VgGzpOOLVzVvvShgdnYWs7OzMA0DD+7fx9dff41cNouDhw5hz/x8W+ni+P6y2SxMy4Ku69AymYFdMlGGTIegPCEEmqZB13U0dB2LT5+iPDERGoIjYn95EPg+Gpub8IMA+UIBPmu/VehwkRzHAaUUyqCumDbVnkk3FX8A7j94gGwuh4MHDuDjjz/uuPyjQRCJQnWKBXCCF0URbp+aHyurq6AApoagfJcmkNtrI2+eW/3CfOxpxvucrPpOqY/r6+v49ttvceLECRw4cGD7EAHYLFss1equS0Wqls3ixKlTOHHiBBaXlvDg/n38/PPP2LewgIOHDjUbJAnXrlwqwXGcoblkAKZ9EwuktgZVeaacbpp49OAByhMTcBxn17ljXmli1ysVOLYd9jQURdR0vbnqMf4gMcuaCzDtdDcVGgRYXlnBvXv3sL62hr0LC/js88+7Llk5TMtCQCkKaTUtBAGEpaT1KjR2984dvHH48FCIs9sWojTOHgOnAF5uHzsh3auHh2Cxx1Mf431Rnzx5gp9//hkffPABpqent3bJ9stdLl4bH3s7JFrt2z4kYG5+HnPz8zB0HfcfPMDv/v7vUSgWcfDgQeyZnw/rBVq+JooixsplrK2vo1qrYaxcTj2uVsRHGG9wkzQpiaKIbCYDw7Lw8N49zC8swDTNXZXT/soSu+s4sBuNqIGBY9vtrfU4kbALPTCJtSEnyzRx5949PLh/H5lMBgcPHcKZM2d6epiCIIBlWT0VcjQJIwFbFbh8rG3Q0HWsra3hzJkzqcfXCa2KlknoOXDKj+sFEXtaOm6SiNhB8NRHniFz69Yt3L9/H5/HDAdeIdo0PrQPnrZFF6u9FdlcDqdOncLJEyfwbHExtOJ/+gnze/ZgZnYWxZbYVyaTQS6bRYNVpA4lS6bldxIkSYIqy9jY2MDYxETYbGdE7C8e+sYGCICMpgGUwrKsRI0SAE03EsUQGiInkLrlOLh14wbuP3iA+bk5fPzJJyj3aYFwa6wXBbp2D18iycdWMnfv3sX+AweGtgzdCWcJJ/bWbljPC2mzeLoR4LDqDXjqo+U4uHbtGqrVKs6ePQuVNUrptB/P87akNFIiKgLq4fwTQcCePXuwZ88eNBoN3LlzBz98/z1mZ2dx4sSJphTDYrEI0zRRqdUwPQR3IL9W3eQRFEWB43lYevoUWjbbVbLhZcLLu3YdAI7jwLNtqEyhzXEc+O2IsNUHPqjF3vLQuK6Lq9eu4de//jX8IMCvfvUrnH7vvb5J3Q8CWKYZ9s/ssfFvN9rg5fOc7D3fx/3793EowR+7U+iH3ILn3Dkpjp6akD/HiUcURfz044/QDQOfffYZFEUJUxW7nN+eLXZs6cj0i3w+j+PHjuHjTz6Bmsngt7/9LS5duhQ2JmfHUsjnw65R7LWe0UaGoxMICRuHN1hXK9M0+9v3C8DumH56RG1zM+oLya31eAPmThhWA1/X93H3zh3cvn0bs3Nz+OUvfoFcNhvm0/p+3w+5aRgAAK3H6kISs8rT7JkAWFpawsTEBHKxJSi36ncqUJl2fHG0qvg9T0TUsEOFV6nHwQK4FIBhGDh37hwKxSKOHDnSE1G7ntdXDUeqGEIHUEohSxJOnTyJNw4fxq1bt/DXf/3XOHDgAI4dO4Z8Po+GYaBSq2G2x3u/3f5EQUDQJaFAFkVYhGB9dRWFQiExA+1lxCtH7JZlwbdt5Jh1bjNrvZ2MLYDEbIS+LBCWLnnv7l3cuHULU1NTOHv2bFNpdNz10Ss8z4PNViK9pvZxN0UvxPLo0SMsLCw0vZY0/l62yQWZ2snW9nNmXlTnpDjSTpZCh5VTL2uVVsubi5xVKhWcP38ebxw+jL0LC9BNM3Qtprw+nudB6idxgFnt/dZKxCdnVVXx1ltv4Y033sDNmzfx61//GocPHcLcnj2oNxp9KUC2jop2ePZbv6dlMjB0HfV6HWNjY7ui4fUrReyUUtQ2N6GwQqQgCGAzaz0xdzbpZu/hIYgj8H08ePAAN27cQLlcxueff45yuwyXPtPa+rXWgS3iSfuQ246D1dVVfJBCF6ZpNUBppKjX7fOt6NfD/CI7J3VqYpKIflMaY/nX7dwpXMjr9OnTmJ+fhx8EECwLruOk7uM5iB95kOrmeG9YDk3TcPr0aRw5ehQ3btzAH77+GrPz8xHZ9mN8tebnd2v9RwiBJEmwDQOVSgWTk5MjYn/eMAwDgetCYyptTlprnf+msWYKKcGVFa9dvYpsLoePPv4Y42NjHb+TWu0vBs914bguNCYv2jNYR6K0D96Tp08xMzvb00POrfn44xl3rfC/2x5/v6QwaLB7GOhlxdLpA60FNB0KauK4f/8+bly/jk8++QRj7P4TWVMTuwdid/u12IHQau+zwjlgFaxJyGWzeP+991Cv13HlyhX8fOkSNvfvx8ljx1LHmZrOe5zYmSHS8d5jvvbN9XWsj41tE9l7GfHKEDulFI1aDRlBgCJJCIDIt96u0i3pYQyCILXFvry8jJ9++gmyouDd998fSsS+HQzDCIM5ffoXBVYOnvahe/TwIY4cPdrXvuIgSX/HHqSkh60XBEEQrrJeFLH3EjwFtgyImE883AztO75z+fJlLC0t4cuzZ7cZMYosh60IU7qrbNOEOkANB+lS3dkWKdxwhUIBn3zyCe4/eID79+/jfz16hLdOncLCwkK6+ghCEs9xmobdoiiGmjirq5ibm3vphcFeGWLXdR2wbWRZcMNmKYH5TtZ6K7q4EDhc18XPP/+M1dVVvPPOO5iZnu5pBu+1zZjrOHA9L2zj1aelwBUt05BHQ9dRq9ejlmo7ifjRRJreLccYJ4rW44902F+wBdW6Kml7ddk12PaZPia2SMjLsvDVV18lFtUpigLDNOE4TlcXHqUUtuOEKcL9ose8drbj8LylnJzn5+chswnr1q1bePLkCd57992ORk8nrSTCSL/tmNnreU3D+soKNjY2Xnpif2XSHW3ThMLy1CnCXO9erXWAPWwdSGJ5eRl//dd/DUIIfvnLX2J2ZmbHl2WGaUIQhNTL6STwPpvtdKnjePz4Mfbu3btzZJkUOCVbDau5uyaqRmRkEWnfANGPzyx2XvzD87T53/GVQfRe7P2mz8Y/h5aqzJbX+d9BbJu8dV+036QftIkx9HiuHcfB119/DUEQ8Nnnn7etlCaEQJYkOEyKuhNMy4o6Cw2CXp8Hfr7Sfk9VFGiaBkkU8cXnn6NULOJv/uZv8Ojx446B6Y4ZMJ2OmV03URQRBAEqrJnNy4xXwmKnlMJxHOQZiTusUW1P1nrs/SSVQM/z8PPPP2NpeRnvv//+Vll2n4GwtLCZtZ5v6SbfKwghIKIYEmGnoSHMhnn3vff63lfXsSDBok15TlrPAY3lsG/L2In9nZiNxFdonNTjY4i7ihJe53/H6x7SXp2k4+/lyjbqdZz75hssLCzgxIkTXT+vKAocJl3dKWZiGkZi45meQUIlxa5SAwwBs5h7ub+LhQJM1tbuxMmTmJubw8WLF/H06VO8++67yMSMIIoUacxsDEn3YTxOJMsyKpVK2BN5h2VHBsErYbE7jgPieZF0reM4EAWhfSZMhxuoqeCE/b3CrHRKKf7BH/1Rk9ZGX0h7A9NQllca0FrnEFNY7JVKBV4QYGJ8fOD9tcMwVzj8er3w4GkPSEz1TPnd9fV1/P73v8exY8dSkToQkpFASFer3TAMaMNyMfCJNgWia9jDfSHLMvK5HAwmnVAeG8NXv/gFCoUC/uY3v8HjmPVO2aqu03PHi/MS34txhqIoYbell7xY6ZWw2G3bhsjSkgJ0KItOkZoW5dMSAt/z8BO30t99F9OtPuc+A35pb1/bceD5/lBahAFhqbnDer+2w6NHj7CvJXf9eaDfcnqeJvfCCpQ6uVeGjCePH+Pny5dx5swZTPXQE5QQAkVRYNs2KKvGToJhmsMjdmCbkmI7UBZz6PUcFvJ5GIaBaq2GKab+ePLkSczPzeGHixfx5MkTvHP6NFTOBV3IPQ0USUKjXoeu66kF+14Edo+Z0wG2aUIWxVDEyHEQUJqca9rFWgdYkYwgYGVlBX/9m9+ABgH+wS9/OTRS7wWWZUEUhKHlzQqC0HFJGlCKR48fbytKeh7ol9iDAZsovxD0Md6bN2/i6rVr+OKLL3oidQ5FlkERpjO2gzEsVwxDLxZ7L8FTDlEUkU+QGiiPjeEXrNL7N7/5DZ48edI1dsbH23blF1sZUgAb6+s9jfV5Y9db7EEQwHUcZBn5RW6Y1vzWlLO1rut49OgRdF3Hu+++i9nZ2S1f6nMkEM/z4LFMmGGBp7u1K1JaXVuDlskMbYXQDq17HkT8ik/ELwx9WOy93EWUUvz444+RkFe/6a68u5LboTuYaZp9TRptwatRu1jtQdz92SPy+Tx0XUe1Vms6N4QQnDh1CrN79uCH77/Hk6dPcfr06VQuzbhPvRWEkNDPXq2+1H72XW+x27YNgYY6EwEAv12BRYoHzzQMXL58GcvLyyiVSjAtK/SlvYClPrdAhuFb5yDM79kuO+DRw4cvxFrvZxnOwesOkgKfqRAjlTQjaN1yz5WnDK2TUdKIPdfFuXPnYNs2vvzyy75JnY9PURR4ntc27W/YrhigOVbVFgO4swRCUCwU4Ps+dFaZHa8JGCuX8ctf/hLZbBa//e1vUa1Wu26zW76/LEmoV6uwbbvn8T4v7HqL3bZtyABESQp9iMB210UKa7tWq+EPX3+NhYUFFEslyKKIpaUlXL1yBZqmYXZmBtMzM5gYGxs8HazLmHhTXVVVhzqhiILQtkjJ8308ffYssV3asLGNHLd9YPu5aVfI5AdBFCTvh9zjqZNp0VRUxPfT4XpGOfgdttn6nmmaOHfuHCYnJ/HO228PZbUoyzIs24brult+5xgMXR+qKwbAltXe4XoEKYqTOkHLZiE3GqjX603ZMByCIODNN99EqVTC17//PT786KOOK5O2KZMs/ibLMoxaDYZhvLQa7bue2B3LQkaSoiYBgij2rB2+trqK8xcu4J133oGmaajV61jYtw8L+/aBBgE2NjexvLSEyz//jGqjgbnZWczMzGB2enowK6oN+ASVdJMOAiFusbesapaWljBWLu/I8SSCp5a15JF3SjtrxYvOiGmadEl3WeR48VJr04048VUqFXzzzTc4cuQI3njjjaGNl7tjHMfZRuye5yEIgh3RQemmITOo4qVACEqlElbX1tDQ9eQ0ZwB7FxagZjL49ttv8dbbb7dNEiAAkBD45SMUWb3F+toapqamXsoYz64ndur7IIIAn1J4nocMaybQ+tC1w+NHj/DT5cv46MMPMTU1hUqlgiAIwki9IIAIAiYmJjAxMYGTp07BMAwsLS9jaXERl3/+GflcDtOsee9YuZw6ZYsIQrJvmTKZYUlqX1zVJzgBJuUXP3z4EPv27Rvq/jjiFm5Uldiu72QPD8mLbrAB9J4VEz8XTVeBbWdxcREXL17Eu+++iz179mx9Z0jBekVREhUfDdMMrfWdOJcsx7/dEfieB2GAe50bQZIkhVZ0h57GU1NT+Pzzz/GHc+dgGgaOHj2aeO0IgAAtKyn2OW4g1Wq1vse809j1xM5tNZel8cmynO4hoxS3bt3CvXv3ouo1AJEcruf7kFstQUqhaRoOHjiAgwcOwA8CbKyvY2lpCT9evAjLsjA7M4MZ5rZJWu52g+O68INgx0qWBVHcZonYjoOVlEqO3RCRUNLD0sFV0Q+dRC6OF2kx9Wlt8gku+i6luHvvHm7duIFPPvkE4+Pj211L7LNxNc1eCZ83u25VfDQNYzApgS5om/rIJrh+ZZd59S8oRS6bRaVahWXb21a7cZmDQrGIs2fP4ptvvoFhGHjn9OlE42Bb7Ia/zix2Xdf7GvPzwK4ndhIEAIv2i8wNE7R5IOKvXfrpJ6ytreHs2bNNnZVEUQxz2H1/W8S79RKLhGBqchJTk5N46803YZgmlpaW8OTJE/x46RKKxSJmZ2YwOzuLUrncLIjV5qaxTHOoKY6tEAVhW8rb06dPMTs317Nca9tMoW5pZcwNEbkletrrFiKL/QVmxfSrIQ+wACoL9P3cQcgr/PDWXrYRPrMg0xC9KAiQRHGb4qNpmjuqf8KD062j81gOe7/EHs+4yWazqNXrMAyjqxtT0zR88cUX+PbCBVw4fx4ffvjhNhduJ80bQRBgjoh950DYg8HdMNs/0PzY+b6P7779Fq7n4eyXX24jb1EQws7rrZkjSRc4Zm0BQFbTcOjgQRw6eBBeEGB9bQ1LS0v49rvv4Hpe6Jdn1nwSiXqeB9fzhp6ZEAcXA4vjYRclR+4D32aZDiJxEG18gFRH3sT6RbpiBtg/QXjNv/3uO1iWhbNffdU2FbH9Rkhk9W4NqrlEv5WcFEWBaxhNio+6YfTUQ7dnEJJotQe+D0ppz41jKKVbonEMgiBA0zToup5KV16WZXz66af44eJF/P53v8Mnn366LQutneEhiCJ0wwibvAypH/AwsauJnavkecwC7WblOraNc+fOIZfP48yHHyZaCZIkgTB/fRwd6SchOCQJAmampzHD5Acauo6l5WU8fPgQFy9eRKlcxtTkJGZmZ0M3ECFR+lQ/Lpy04BkK/Ia1bBuVarVJJiHJnbKTrfD6/u5LICcwSH2DZVn45tw55PN5vP/558PrAtVK6HGrnhXvGaYZrnIZkZm6jolh5rAnDYuPJXa+AtYmMm2chN+b7doh5nM56LoOwzRRTNHGjggCPnj/fVy7ehV///d/j88+/bSpFWSTOyb2nIuCAAQB6rUayl36L7wI7Gpi5wE4x3WhZTIQWVVYhNhN5Hkefve732F2bg6nTp5sS1SCKIIQ0iyWxXx4HR/gFuu9FflcDm8cOoQ3Dh2C5/tYW13Fk8VFnD9/HjQIMD09jVw+j5mZmR0lKpE94L7vQxRFLC0vR5H9ppHvtBXMHoxBipP4xL4bLfZ6vY4/fP019uzdixMnTgyt124iWqx6QghEUYTLnhsKwLAsLOy0FG1C6qMfBBCQ7hxShKu0TneMLMtQFQWmaSKfy6V7lgjByTffhJbN4u9//3t89dVXW2mfggDw1Xts3HwiqlYqI2IfOnwfNAjge157CQEAoBTfffstJiYn8eapUx03KbCbz28tvR4ieUiiiNnZWUxNT4O+/TYajQYePX6MR48f4/r165gYH8cMy7TJ5/NDIy7KLDcK9kCJIpaePXsu0sOt6JQlkRY71Ri6x0H0fG+srq7iu2+/xalTp7B3YeG5yFO0QpFlGKYZ3geEoFavh3r/GGwV0g2tqY+B76fKiKFI32g+l8thY3MTdkyDPs0ZPnjoEDzXxfnz53H2yy9DF0tsdRu32Al7jmr1eqoxPW/samKnQQCXzaadSnuvXrsG13Xx4UcfpdquKIrwYj72nh67LpZ70mfz+Tzm5uawZ34eWjaL1dVVLC0t4c6dOxAIiUh+anKypxTIeHoht4wlnvIYs9jffOutXo5waODj6rvqlL4ELfF6lDR49OgRLv/8Mz788ENMTU/D9/2BJ7h+IEkSCCHwPA8UiOQrmtRNsQMkH0t9pGzF1skFxeM7vazsMpkMROYDj5qLpPz+kaNHUa3XcfHiRXzwwQehwBxbXca3wYXn9EYj9bieJ3Y1scP34bouJFFse3M8efIEjx8/xldffZXah8mrWAH0b03x2b1DcQYnXZ7iqOVykGUZ8/PzmJ+fB6UUtWoVS8vLuHXrFr799ltMTExgdnYWszMzTb5ADv4g8lxx2vJQEh4c9jxsNhrQstkdTXNrB07mg1jcL0PgKqDJ+v2toJTi5o0bePDgAb744gsUSyUA4fH30yN0UEjM5eh6Hkxd3+aPjhMpz2gJhkTyAgm12n3mVkmanPne+3FRCYKArKah1mhEQdTUZ5gQvHv6NH7/9de4desWjh07BgFhTvu2Z5mQlzYzZtcSO6UU8P2wrVUbVCoVXPrxR3z+xRc9VXGKMeGigR651iKpNmO1TRMCIdvcSYQQlMpllMplHDt2DI7jYGV5GcsrK7hx4wZkWcYsq4KdnJgIc9R5PKB1//HjY/0bF5eWQpGzF4RXxRXTbQTU9/HjpUuo1mr46he/2Ja9NQy3VM8gBIosw7ZtVGu1jhK08S5ThHQuNkq7b0IpAt8PFRVbJude3C7tkM1mUW80oBtGeGw9TEqiJOGjjz7C3/3d36FULGJmbm5bdozn+xDYxMjlP14m7F5iD4LQnSBJYd45s5x41Nx2HJz/5hucfvddlJl1lBaiJEUt1/rxoW4D/34Cufu+D8fzoGlaV5JSFAV7Fxawd2EBQRCgWq1iaXERV69dQ71Ww+TUFGanpzE7O9sxZVKSJLieh8Vnz3D69OnBjq1PRBkSfYIvz190r1MKdLw/XMfBhQsXIEkSvvjii20peD33Bx0iJEkKs6I2N1Npi3P/OH/GSGuyQlow90bALPb4StqPGyYDQJZlaJkMDNNEIZ/vWd9J0zR89OGHuHD+PL44exaFfL6patjnq0VK0ajXR8Q+NPh+5CemlMJzXYiKEqY/BgHOnz+PhX37sJeVZfcCvjT02PaHipgPXkCY8kYpTX1j0NiDVSqVUCqVcOz4cTiOg+Xl5VC47No1aJqGGVYFOzEx0bTcFSUJtmXBMAyM7WCnpI7HgcGsvqiJ9YtOdUR7d5Kh6zh37hymp6bw1ttvtyeXDqu5nQSv0q7Vatizd29vX45PSLE4Q9qj4GnKAjPGKMJA6jBXYNlcDqZtw7SsvoqvxicmcOLUKZz/5ht8dfYsJLai9n0foBSSKIIC0BsNTExODm3cw8ArQewAIsU6CuDSpUtQZRknU7YOa4XEqk89z9tRH25AabSM60RQnMibKgtbHgBFUbCwsICFhQXQIMBmpYLlpSVcuXwZDcPAzNQUZmZnMT0zA1mSsL6xgampqRcnoDXoBrqQ6nNBS6Axjs3NTZw/f76rkBcBUnUZ2gnwtMdavR5JavS5oaZc7yjw2u07aG7+MuxrqWUykAQhbCDSZyrngQMHUK9W8e333+Pjjz+GwAPOlIbeAkphvIQB1F1L7DQIQoua9TZ1XBcUwN07d7CxsYGvzp7t+0YRWTcmz/exYwssQuA6DiilycJliBE6a9icetOCgPHxcYyPj+PEyZOwLAvLy8tYXl7Gz5cvI6dpMC0LM7OzoZ75iyB3Qgba906RQS9oZ7EvLi7i4g8/4L333sPc/HznjbxgV1LAjJehNYxoyZdPJHd2TwdBMJD4Vxpks1nUGg04jtO3TMebb7+Nc3/4A65euYK33noLLuMdsMD3y6gZs2uJnVvsiixDZlks9XodV65cwS//6I8GulFlWQZBWKma28GiDcdxIIpiGLXnKV0817xPxcMkZDIZ7N+/H/v37wcNAqytreHvf/97LC4t4fGjR6HLZnYWM9PTUJ+TbG9URt6nCyIIAviMHHxWls63G/87vr+4Gyv+nmEYW3nKMYuTBwoR+83/JghrAVoLZu7euYObt27h008/fWFurl6gMzXEtn2CB0CrFR9dl1iacq9SAr0il8uFQVTT7JvYCSH48MMP8Zvf/AZz8/OQZRmyokQNayzTTCVh8Dzx8oykBwRBEGpMsACGJMsApbh+/ToOvfFGR9nONJCYBWN3afw8CGgQwI5ZEZxMApamuFMgzNIoFgp49733oCoKlpaX8ezpU/x06RIKhQJmmctmbGxs56QEWDZJK63z7jfx35xAg9hrtm3Dsu3OfSrbgMTIGwjdeNv0VlLA930YTHPFME3cuX0bGxsb+PDDD5HRNFiWFSoBCgIENs5tnZNYAPhFpDwCYSvIQqEAdweIPUIQIACrFGbKiDwjRt5hYhdFEVomE0oVFwp9rxBlRcHJkydx5coVnH73XUiiCIclWFCE8ZRij0kaO4ldSexg1hqwJQFgOQ4Wl5bwf/zJnwy8eYqwJV19B31nDisMURUltCSZoFGcSHeqAnBpaQlTMzOhG0jTcPDgQRw8eBCB72N9fR1Ly8v44Ycf4DjOlnDZ9DSUIUT+uaXtuS4cxwkn6Rhht1XTY5kUIrveAABKkc/lwv+5Jd1idcdfbzdJlVoeyHjKaNMKAFvuMVAK1/MQ+D5kScKVy5fh+j4+PHMGoih2bJsWkT0hEalzf/fzdi1Vq1WUyuVQG2nY91t8lYStrJqATdYELPV2h2MM2WwWhmnCYDID/WLf/v24efMmNtbXUdi/H4S5f4FQ9nhE7IOC0kh9UWIz/t27d7FvYSH6f1DIshw2yt6hhrWO44DE3REJD1Si7vYQHrxnz57h7XfeCTVxfD9aQgqiiKnpaUxNT+Ott95Co9HAyvIyHj1+jIs//ohSqRQS/ewsSqVSRxKKXCWeB4+5SwLfjyxT3swECImOF8xwrWtBEJr+boVhmkAP2US9gE8OQPcgL6UUP1y8iFKxiE/ffRckdv9xP3LAfcqx3wG7hx22+owMFXa8oihGv3eS8CvVKvbt3x9lkw38/LB7OYhNjq0ghMBznNC/zqs6dwgEoZGWpglHmm0dfuONkGv27WvKZtqmBvuCsTuJHeGJ5Nb6xsYGqpUKjh49Csu2oWYyfWdd8FsxwzJVbNseKrFzC9C0LKiKshVg6rAU5/7dYSzWdV2H47qYGB9HtVZrIvZW5PN55PN5HDp8GL7nYXVtDctLS7hw4QIC348aikxMTITZAgkEHg49JCtJkiBJUkTYhAVQ+wFf4bxI1Op1fH/xIg7s24cTCcJyRBDC4H6HbVAaKom6jtMUM3Bct2n1shOEHwQB9EYD5VIJDV2Hx6q4+wKfsFPkodMggE8pVFEEiSUN7Eg+PyNfTdNQq9UG8oXbrovJqSncvXcPz54+xeTUVFNu+8uE3UnslEbRfFCKq1eu4OTJk8hqGmzbhqQokSZKP9sGAEVVITAXzzDa1caDdrbrhvvgPs2UD+c2/Y4+rPjlpSXMTk83NRRJA1GSIr2aY8ePo1qtYnllBbdv38b333+PQrGIyYkJTE1Po1goRATOCagV8YBnP+hWGLTTWF1ZwbfffotDb7yB423aq6WFIAiQZHnbw0gphe95XQmfB+BFUYxSddOg0WhA0zTIshwWrbluzz1vuduqF7eh53kgQESwfILnEhE7QZIZVUWdENiO0xex+74Px7YhEoJTJ0/i8s8/44svvwTArtPIYh8cPKCmyjJWVldhmCb279sHilDC1xrQlwYgKvF3THPgsYKQpiwXl/lfoxubtteXTkL0uZYiEf5aJywuLWFh3z4QQiAxaYFOY/d9H67nwWM/fH+qquLQwYM4euQIAkqxub6OldVV/HzpEgCEejazs5hso/E96MNLX1SaJoBHDx9GQbRcLjfwBNPu24SQroTvM3VT07KibYmSBImRfSeir8WkBBRZDtNvWYCzG3hcqKmqOiW48BhfHfD7WWjXB3gA8O0pigKRrcD7yXRzXRcBpchlMtBmZnA7k8Hjx48x8wIlOTphVxK7zwsERBGXL1/GyVOnwmg7gGwmg4ZhwFWU3l0oLTeVqqrYtKzUN/u2zaE5EMdfs10Xarw3K1tm93NTJ5I8kOi3930fq6ureP/99wFgW5CPuwV4J6e4VS0IQpjmxdwprVZ4du9e7Nm7F5RS1Go1rCwv4/adO/j2u+8wPj4etQjMFwpbOfsDPMQBpf2vyvoEpRQ3btzAo4cPQ3kAprUyDJdQL9ICSYQfv3a+58HyPIAbEDGSF5mqIxBqKRUYsUuSBMLaJm5LC4wHj/sk8zi8FvcfD24nHf8gujSt21NVFYZl9Vw/EcXa2OqTUopTb76JC+fPh9LbGPnYhwLe3Wh5aQkUwJ5YEYiSyUAwTZim2TOxt95AvJOR43k9dTWKlqcJ7/GZf1tq2RDKypsyapoHBBCC1dVVlEql6MEV2IPc0HUEvt8kVSyKIhRF2SKElL5XQkgkdXDk6FG4rouVlRUsLy3h1u3bkEQR09PTmJ6ZweQgZdjP2adJfR8/XLyIeqOBs199hUwmE+a/D0rqvNAKg0ksEELCiZfd89yq9zwPnu/Dik3gEivqq1SrYRAQiHz3nuuG90eczOPnesDjDXwfQRBse5644mMreCZSu8bSnRCvagUAlWnHuD0+z5ZlIaAU2ZjrdKxcRrlcxpMnT3Bypxul9IHdSeyuC0IIbt++va0bEkGoEdFoNMKGvb3k5raQq6KqEBFe2DTbSSqMaYXjOBDQWT9+GEgi+aWlJUzPzMBxHDiOA900YRhGlF2SYdkD3D8+DMiyjD179mDPnj2glKJareLZ4iJu3LiBarWK8bExTHMZ4h7cZwHtTQd9ELiOg/MXLkCWJHz5xReRJv4wRMgiF9wQJvY4Ique32eUwvP9iOgdx0GtWg11y3UdsixHK7huXYoGATfKkvzc7dQ6eXFTKqmCDuDPcNrnGUC0ClJlOXom+DiOHj+Oby9cwInjx0fEPgx4nocgCFBvNJp6dXIoigJJFGEaBpS4y6MbWh4sRZabtdk7frV7MwAKwHacSHwpDq7LvROZHhQhOS0vL+ONo0dRbzRAmGY1ggDZXG5HO9RzEEJQLpdRLBRw7OhROI6DxcVFLC0t4fq1a8hkMlEV7MTERFv9fP4QPQ9lR73RwLlvvsEMSwGNTyaD1hnEiWzHj4SQaNIGwnRRLwhQLJXgsYnecd2ov0Emk9mRidNjPU5bry3PnOr0DPHVQ1q3ZesnuHRCmueZg690FFVtWsUAQC6bhShJqNfrI2IfBnzPQ6VSwXiLaiEHAaBls6jX67Asa6Du64qiNC1jW5FUot4OLstoaFfaTARhaFZbQCkcx4HrOHCZz7yh65icmIgsc57Hzq2obmqFwwI/Qi5ctpf55jc3N7G8vIxrV6+iXq9jamoq0puPX8PnNc7NjQ18c/48jh87hkOHD28/jgEn4rZaKjsIivD5WFtdxdjYGDRVBVQVnu9DcRysb26iYRhwXDeaCBRZHhrJ+2y7SWjnjomD++JTxSQS3s9kMqnTHh3XReD7YVpyfAzsdxAEKJfLWF1Z6Sj09iKwK4mdUoqNjQ3MtMu4QLjUUxQFlmWFLpUuN2a7mySjqmjoemIAlQJhl6KU43YdB6C0rRtmUG1unwV5HMeJMg9EQYCaycBmbo9CS9clWZZhMungpnzimGvgeeSLE0K2hMtOnIBt21haWsLyygquXLkSyRDPzs1FSoQ7Oa7FZ89w8eJFvPf++5ibm0v+0KDuoCH6rtvuAluujIgQAaytr2MypmUjiSIkTUORdfOSZRmu68KyLFiWFVm7siT1re8S+D4CAHI7Qo2RdtfjYjEskbSXY0h6lnjao9Ml7TEIAtiWFcoeyHKTKygcajjWiYkJLC8t4eWy13chsfMbdG19HYcTrCggvJEDhLKdruuiUa+jUCz2tXRXWKFSXNOZ3zAB7d49Jxo3mBuGFSUljrsPC47nxdu2HVneoiAgk8lAYfnJQJiiN54gSiVLEiygqVApnmnD9xERPSEDuQ3iBNMJqqpGwmVBEGBzcxNLS0v46aefoOs6xsfGMLdnD/bMzfWce91tfHfv3sXt27fx6WefYaxDB/q0bfHa7iv2dyQyNqQVWyuRh5vfGuv6+jreefvtbd+TJAm+4yCTySCTySBgjWAikkdYoazIcs+WfCf/OoBI9yd1dhC2YhSt32lnJCmKAiIIsGy7rfuRUgrTNBEEQeiuTNo3y72fHB/HtStX4LHalJcFu47YgTD44dj2No2POAgAIorI5/No1OvQGw3k8/lkQulwI6mqCgGAzW6EeJZAL4+053lhZL1L0JRbWN3gBwFs24Zt2yHBCAK0TCaKL7RifWMjyoCIgz9kfoelaSLR8/ewVSyU6ny0knoKMhMEARMTE5iYmMCpU6dQrdXw9MkTrCwv49qVK8jn85Fvfqxc7jvwS4MAl3/+GSurqzj75ZfIdgnmDuqKaUU/mTHxgH1S3CYJruuiXq+jXC5ve4+n8/EVqiCKyIgiMqqKgNU0ODFLXlEUqIqSyor3PC/Rv9465l5XrfHnMc03tS5pj6ZlwfN9ZFQ1PB8AkkZMKYWiqsjmclhZXu5pzDuNXUfslFKsra1hcmKi40PFL7IkScjlcmjoeiRRum2bHfYnsvxt3umoX1eJw90wXaLx3dK6XNeFZdtwePWqLCOjqh2zbCilWF9bS2yDJ7CH1/W81Nrz2wgktp/4a5SRdlOGTguR90NmGVXF3Pw8jh8/DgpgY30dy8vL+PHiRViWFfnlp6enU2vJeJ6H7777Dr7n4ezZs12v0074+duSGqXReWs38fcyjo2NDZRLpURSi/cikFveF0QRqihCZT5517ajDCvu+pRiefKtSKNFM9BqEFuWdCeoqto27dGybbiuG8qBs2dKSDA+OBcIhGBqagrPFhcHGPnwsSuJfX11FQvt/J78c7GLISsKtCCAaZowBWF7MLWL1aiqKir1Ovwg6DsTg2vOdH0A29xEtuPAsqxoDFomAzVF7AAIS8clSYLWxmUhi+JQJIoTCb+FrGhM6pQAfbkeghip8gdramoKb775JgzDwNLSEp48fYpLly6hUCxGxVHthMss08S5b75BuVTCux9+2CTk1RZ9rNqSthHPrGkyHFozboaxP4a1tTWMT0wkvieKIoggwPf9jsaCJIqQsllkggCO68KxbRiGEVZsq+o2N43PZLalLhMm1xDq14BqqvRu86zxyb417dFxHDi2DVkUu6ZDRo1eBAHT09O4d+9eX+PdKew6Yg+CAGvr6zjN/YNtUs5aLUHuLzQtK7Q84heuS4qVkskAtRosy2rrc+sE7obRetS79lgAx7btqAQ7l8s1V62mwPrGRtsHGWBNjR2nqdXgMNFaZxBwImOvNfW6jKX/xQN/8e0kSRxzZLNZHDp0CIcOHYLv+1hbW8PS0hK+/e47eK4buWymp6ehyDL2PyFw//Wv8QkRIR3NITAfQ3hzBqTc+Tp3sthbc67b5V/7/LiT7r8dDAxvbGzg4KFDie9xqQnX85AmckEEAaqqQlGUUIo57qaR5TBxQRS34j8pdFoGTSIghIB2mCCS0h5dz4NlWdHxdAOfQARCMDExge++/36gLk3Dxq4j9o2NDRBCtopZ2gUisf1B0rJZBEEAQ9dBCIGSwt8dUIqspkEUBOi63hexc+Gmbvvj47bZw+EysSRFUaIUxX6wvr6OiQ7dfCRJipoL72SPVyDB7dJK0C25wvHP82C1T2NNOviDy90+7G+e7zzNFChBKRq6juWlJTy4fx8/fP89ZgwVb14XAFAQ4iO4tIjgx0WAAGRPCeTUNMQ3Z0AOjQFMcC6e6tapII22+XvrMBMMkueQfRQEAdY3NnDmzJm2nxElCTa7Z3vRL5IVBbKihIJZsdx4UZIi4a80K8yB3VstcYfE7JhY2iMhBKZpRpIkqbJyggACG6soCBgbG8OjR49emrTHXUfstVoNWU1L5RJpvTH5hMCDqUKx2PZG46QOhFZJNptFXdcR0N6rDT3fh5TQPacVruvCMAy4rLI2m8mkStXshvX1dezfv7/t+5zMPc/bEX3zbujZQuOppwkunSD2N1r+zuVykTV///591P7nZeaXBSIBCHZp6dMq6NMqgl/fBjQZ5OQUxFMzICenQYqZLbLu89qQrV1tvTakjJhOqFaryDJFx3bg2vh+n/rsoihC0zRkVBUOy9jSG41QVI/5rzth0KyrOHiAtPV1nvZoWVZkIGia1nUFFm2XW+zs+ueyWTReoqbWu47YAeaHS/m5ba8JAnL5POr1Ohr1OvL5/DYrlYL50GLfz2azqDcaPbtjKBAFY9rB87ywEtB1QQQB+XwecocgVC9wXBd6o9E5g4iEVYl8ubyTSKKuJmJvCRJGn+e+U8T8qB222QnXrl3DkydP8Okv3gf96Xz3L5gu6A/P4P3wLPx/XxneqQkEh4rAG1lQcfsIovTF2P/xY6FJ92YPedz9Yn19vWsvVlEUIYBlSg2wguNuDUEQ4LguBFGEYZpwbBuZTKbjCrRfd0zr93gwtZXcFZZ2XK3VUMjloGlacjYVIYkTLg2CgQ2uncSuI/ZILTHFzd/u5hBEEflCAfVaDY16HblCIbqBo96MLdvX+nTHcIXEpJs48P3wRnccgBBo2Swyqho1Sh4GNjc3UR4b65oCqMgydCbVsFNyuAELnMYDxJyomwic/xn/cjyzpk/yC5iQl95o4OzZs1AzGZw74eHtx1lA7yF4/KgCf7ECLwP4kIHjM6Ff/sQkSE7dGnu7Y+Hvxe/j5+CGAYDVtTXMdpGa5d2rfM8DhrCCc5mMRj6Xg+t5sC0LDcOALEnIZDKJBDmonz1pW/Ft8g5elm1jamKirQuy3VUJKG1arT2fq5ceu47YI6QhdrS35kSe495ooF6vI5fLbVWYtbH0NU1DwzB6csd4rFFy3PKhQQCTBZiAcFmoaVqTq6YfNbskbKyvdwyccnA/u+/7wyP2FsKOrO2EYpJesmP6Ed9yHQfnz5+Hoij4Iibk9WgP8N4/+2Pg/iaCK8sIrq0AT2vdx8D5uO6CfvcE/ndPwnvywBiEN6chnJoB9hY7TkBNVntsxdKa0pi2tqHrmCnFxvo6Tp061fWzkiQNJVOK0rA3rMxEtFRFgcIaxdu2jXqjEaXsxu+7fiburlpN7Nn2PA+GrgMAFFHs6E5rd+6DIGgOBD+niTktdh2x9yq81Mm6EyUJhWIRer2Oer0eVtt1sMaz2Swauh5WraWsduTBGVGSQCmFZdswWb9ORVHCeEGCtTAsi2V9fR37Dxzo+jlJkgBCooewV1Agkldod87bHU8/BSm9PPhcyGt2dhZvvfnmtvuHiALwxgTENyYg/j9Ogm6aoFdXEFxbBr2xCtjbtbYpSfCTUwrc30BwfwPB//cGUFRBTs1AODkNcmIKRNs6r+2OmF/31vcpmA9+AALRdR0USCX4JkoSKFN6HEQ2gVdkxu8pQggyLCXStm3YTHxMVRQoihIRfK/XOc0z4zgOTNMEpRTFYhGbXDemXTZLkhsmlsMef+1lwu4kdqSf0bt9ThAE5AuFkLB5GXE2m/gARe6YRiM1sbueFzVkMEwzzOWVZWQ1rXOWyxAsAEop1tfX8R5rrNEJPM3Nc12gw+QWBZJYrnA7n3niPhIIK/p8LxY70is7bmxs4ML58zh2/DgOtUnx2zaeMQ3k8/0QPt8P6vnA3Q0EV1cQXF0GlsIAGRUA0m3INRv0m0fwv3kECAQ4PA6BET2dTe681ImcWv3ylNKwIjKWPtrprGxsbGBiYiKV9R8VKnle12KtTnAZsSfd6wJbBSuqGqZIskwalclhCLE4yqCglMK2bVi2DYEQ5PP50OiioW49Eo6x3X3Jr0/TynZksQ8JKYmg6yzOyCaXy8EWRZimCd/zQvmBFktaYNH+hmGk2rcfBHAcJ1yOSlJY9p/Pp851HdRqr9XrkBUldaaLLEmJgmCtvsleiZhjKA9pPMjaBU+fPMGlS5fw3gcfYK7PFmZEEoFjUxCPTUH8f54CXdNBr66A3HwG8nATSCv/FFDg9jqC2+sI/vs1YEwDTk6DnJoCOToJokrNx5dmbAnE14nc19bWEvWCkiCyLC4vCNBv5wAaBOEKsMv9LgoCctls2BDEsmAyyRA1k0ntFowKhtqsFHXDCCcp5tfnevXcNZOINvc5z5aLGxfPI6OpF+w6Yu/ZYkcHQqE0yokGwg4rAms8UOMZMy2WBnfHGJbV1WrXdR31RgP5QgG5bBZqr2JVggAM0HJrY3099YMMhFZVwCwYibmOIr84w05lbHS8TjFEKaidPkQpbt+5gzt37uCzzz9P1ETpF2QyB3L2IMj7U5BdH9IzK7Tmry0Dq+kmfADApgn84SHoHx6CSgLwxjjIiWnQk1Ogk8lpd2nRdB5jk/T6+nqiXlASCAmbZHuuC/QpsuYywkzr2pNEMQywsjoOnQVYVVXtej5EQUhUeQyCALphIPD9SBiPg7B9eu2esTZkzdvgcRcVBUYW+7AwqD40pTRRnVGW5Sa/ezabDUX2GTRNg0hIR3eMz26mOivlnyiXU1XctSIt2bXDWpeK0wiMwPny22apacNGx2NJuQrgTcHbXX8aBPjpp5+wvr6Or86ehbZTDUSCAIIigZyagXhqBiLeAl1pILi6jODqCnB7HfBSWvNeANxYA72xBvr/oQjGVeDUDMjJKZAjEyDKAI8ps+ot04RpWeEkx7NEunxVkqSouK6ficZhwddeUyZ5NyfTsmAx1dJsNtvRem/VIAJCNxD3p2ttXJ+iKMJuY7G3O0ee50WZQ0EQvHQZMcAuJHael9rTyWy56N3EvERBCMm90YCu6/B9P9SXISR0x2Szbd0xtuuGQSpKIYsicprWF6lHQxeEiMx6xfrqKg638yvH/N3xVZAoSXBdt62uzEAYwnKVbyGJaDzPw3fffgs/CPDl2bM72n4wUU1xOg9xOg/xF4dBbQ/05loYgL2yElroaUAIsGYAf38f9O/vg8oicHQC5ORM6LaZTN8+MI7l5WVMTU1FEyIfe+RmS7g2Es9n76NQiQYBfN/vu8ReYO4ZgXVCazQaocWdsL0kNwz3pxOEbtZ2k4LMGum0pvl28q/7vh9q4Wx9ODFF+kVi1xH77Owsfr++HnYNT/ngbrN8uxA7EF7YfKEAwzRhWVZoNeRyEEUx0R1DARi6DstxQk2XbBaVWm2r52Sf6EejHQgLk0zLQqFQ2HoxgcxbochyFOQddmu0Tv7f1PGENq44y7Jw7tw5lMtlnD59esdy8TmChDHEQVQJ5O1ZCG/Phse1WN8KwN7dCH3uSd8jLefJ9YGrK6BXV0D/3wBm8sCp6bAC9vA4iJyOcBeXlhLjDPHCMILmHgNRl60+CpWioOmA978iyxDz+VDAjz2HmRbfe9wNEzCxP5e5E7UuEgGSJIEiIc23DbFzN0yTsUYpNqtV7NmzZ6BjHSZ2HbFrmgYlm8Xq6irm5+dTfSdO7EmpZJ3As1cMXUe9VoPKGhDE3TEeazvnBwEymQyymta1qUBq9Gnl1mo1FAuFqOKutWCmHWSWz+563lAFjdIs/dNuB2ieIKrVKr45dw4HDx7EsWPHdtzfyRUq004ehBBgvghxvgjxV2+AGg78G6ug11aBq8tArbn1IqGkfcrNcgNYboD+9h6oKgHHJkOSPzUNMpaczRT4PlaWl/HOO+90Pi60VHWzkvmgjziPzbTXB6lcBRuPIAjI5XJhqqJlwWs0oMVkESjL0HKYAiqltK113wqp5X5vUtdMAPfHx4+LNwOfSOP2fE7YdcQuiiLGp6aw3AOxc/AGAiAktU8XCK0GuVSCaVmwWUm0zCxbw7JgmiYEQlAsFKK2X57nhe6YQYmd9C5jSilFvVZDLpfruckut9Jc132uSnVpqThosdhXlpfx3Xff4e133sHCwsIOja4Z/TRaaYImQzg9B5yeC7f1tA56bRn0yirwYDNFHiWD7QE/L4H+vBRO3PNF4NQ0hFNTwIFxECmceNbX15HP51NnR8X3LjBlxl787IHvwx+S7lB8n4qiQGSyBIZpQmH78JlqK+8C1lrs1AnxRjMBSx+NajESPs8VUOOurJXVVRw9fnzkihkEoihiz549eHjjBt7tYoE0IU7q7P9eQAhBVtOgyjIMw4AfBKhWKhAEAWOlErK5XFP6k+d5UcrYwEg7CTHLPABCDQzWG7RX8MrAYeqWDDMfGQivx4MHD3Dt6lV89PHHmJycHNIeUoyB/e733MTvQ0JIWKG6twj88RFQw4V4ZQn+1WXg2grQ6KH681kNeFZD8Nd3AE0Cjk+BnJrBKtYwMzPT11hFUYTjOCCCsF1Rsw24KukwYhytZ1hkmTOWbcOyLDQajVDbhnUQ63WfAsv+4WMOkNwtCYj511sMno2NDZz+4IOe9rvT2HXETgjB7Owsvjt3DrZlpU8h5Fb6gBAlCdl8PmqtVavXw6KPlm27Hbqx94o0fnaKrf6PBKEr5kCKitMkyLIc6bMP7RhSuMBSZQGx+MjVq1fx7NkzfHn2LPItDbp3GkGXzJyu6OSbz8oQzuwF3p8HDSjwqAJ6bQX06irwaDP9DGl6wI+LoD8u4hgAby4Pev8WcHIK2F9KPXZBFKNiNDC3Hjdg2q0iHSZmNyyRrKQVK/er244DWZJQLpf7vlclSYLLUxg7fC7JDUMpxcbmJg4ePNjXvncKu47YAZaSWC5jZW0NC3v3pvoO94v24oJJgh8EaNTryKgq9uzZg/X1ddRrNdiWhVwuB0WW4fs+Apos/NUvWrNjuDUdz92NTy61eh35eOC0B/BOT8OcnNKc8TQuJ9/3ce3aNXiuGwl5PXf0WEuR9N00IEKoPUMOjAH/t2OgdQv02hrotWXg+ipgpG+gLC02gMXbwP++DeRk0ONTwKnp0KrPt3e5CcxQ8IMglJ6OGxkJAdfA9xH4flOK8KCI3xe+78M0zVAKWxQxOTEB07JgmGb3au42kFmjmSCWMJCUFePzZiExYq9UKiiNjTUnKbwE2JXELkkSpmdnsby0lIrYKbCl3z0Iqft+pLmcz+fDJaFpRuRar9fDxr7s5hoqsZNmydoA7avdfM+DZZqJ/V3T7ksSxTDtsY/GIjsFx7bx7XffQZZlfP755wOlkQ6CpMrD1EhhWLSVZChkQD7aC3y0F9QPgAeVULTs6grwpJp+DLoL/PAs/CEA3T8WWvInp0O3kLC1f17bEPg+kHC+4wHXgIaCXxTDccNw8BRnrisDSkOtGRbsFEURumHAMAxks9menztRkgBKEfC0zjbpn16Lfx0AlldWcOz48YGPcdjYlcQuiiLm5uZw5bvv8EEX3xZFswwv7dNq91nmCwDkC4VomZnL5VCr1zE5MREVRFjVKiAIEDtooPeDgE1MBJ2XjPVGA7lcbiD/uCLLaLju0GR801rs7a5Lo9HAN998g8nJSRw6dOiFkTrQnCK4Qzvo+hEiCsDhcYiHx4H/+3HQigl6bRX02gpwYxWwUmrrU4QB2webwP/vFlBUQU9MASemgONTELIyIAhdZaT5iB0WWxqWG4ZSCsdxYBgGvCCAIsthJWpMX51nzRi6DsMwkNG0VN3KOOIdxPikwCcsfi2CIEAQBNsCwpVqFV/+8pdDOdZhYtcSe7lcRpUVEOW6WKbxCLbQpvS4E1xWdCSwJhhxoisw6d+GrqNcKkFRFFiWBcdxsFmphIqRqtp3JWfUfo0RbJosl3q9PvDSUJIkCExHYyjZMQOslDbW13HhwgUcP34cU9PTL1xJjxsHfUnLpslS6mO7pKyBfLoP+HQfqOeD3tsEvbKE2oX7KOo9bKhmAxeehD8CAT04BvF4Cf6hMujBzjnhnueBsjzzSA6jz8kviDXJDliVeJ7VkQDY5oYUCEE2l4NpGKF6KpCa3GWWy97a5zWeGZPkX/d8H9VarWN3sheFXUvshBDs2bcPDx4+xKmTJxM/16pzsvVGemJwXBeGrkf67a03tsqIu16tolQoQBRFZDKZsCMLExUzTTMi+F4szXhFYC8pj8MidsI63wyD2DsVJ0WfSTi+J0+e4KdLl/D+Bx9gdnYW9Xr9haeV0SDozw2TEgTJla2pvy+JIEcnsVz0cH1sFV+8dQa4thZm2dxaA5yUeekBBe5uQHi2AedvfEDKgHKXzbFJkEzzvcybrsuyDLDMn6hSPG2qJM9HZ1lZIiFRd6O4EB3378chEIJsNhs9czTBwk6CKIoQmeDZNjCrnTcej/vXHz9+jL0LCy+knWQ37FpiB4APzpzBH37zGxw+dCi0ElowqGVnM+10SZI6ujaKpRLMlRXohoF8LgdKKVTWPMOPKdaZtg1VUaB1aQsGIFE2gfsyux1XrV7HbJ/pbXEoshwVfAxMptwF1gGEkK3sGUpx+/Zt3Ll7F59//jlKTMirnyYbw0YwwPlI209gGEe4tLSEmZkZkPEs8Pk+4PN9oG4A3F0Hrq6GRL/a3ZwXAoCKBLRqgXzzGPjmMSAKoIfGwgDsyWkEkxn4fHUXOz5+73STxvCZD52roUqyDFVRtjqbxeJjgii23RZhEwGYzgwvVuoGkXeMagG32lsbvXu+j+vXr+P/+if/pOu2XwR2NbHnCgUs7NuHa9ev47133236TDvqIykLfjipy5KEXJd0Ok3ToCoKqtVq1KiDu15EUUSO9VTkubcOS9FKqo7jVnrb0nt0J5ZarYYjQ+iWrsgyLNseOO2xl4mBEILA93Hpp5+wubGBX3z1VVPzk53uCZoGtIeq023o4TwM6nBaWl7Gh2fONG9XFoDjof8c/+dJ0FUduMZIvo1wmegDRAJ8AZD4234Qfv72OvDfr8OeVREcGYNyfB44IgNKSx9hnrvf8tx5vg/btsOgaxBAYc02tvno45NFF3cWISSUEgCiLlDdyF0QhLYqj34QoLW95d07dzA+Pp5a4/95Y1cSu8DSrnzfx8mTJ/Hr//W/cOTIERRiBNyJuLvlS/uel5rUgfBGKhQKWF1bi7rUtN6YgiAgq2nQMpmwqYBlheqPrNmAFBcV6rKvpK7rHAFLxxxGbjcPKjlDTHvsBs/zcP78eVBK8eWXX27XGklp8e4kaBBs0+ofOgZMy23U6/BcF8UuAXwylQPO5oCzB0AdPyTqqysh0W+EvmohFMZBINJE+fmAAI5uQ/l+CcLvlwBJAI6MAyemwyDsFFPYjAWdPSbN6/k+KABVlqGoatvVWK9XPLLcEZK7KIodM3WEDisKPka+erAdB7du38Yf/YN/MLAWzk5hVxI7EFrCvu8jp2k4cuQIrl65go8//njg7VJK0WCB0mwP6YL5fB6VSgXVSqWjxCi/4bRMBpbjwDQMVGu10Devaciw7umd0GliMgwDqqoOhYh5M4K2jQhSInVNjWniD+fOoVwq4Z02Ql5RtsILREDp0AXSWpGqWKsDlpeXMTM729O5IooYulZOsQD1sg5cW4FwbQVkeR1Bm0N2pXCsCpe88QLg+lr4AwBTOeDEJOiJKbj7C7ADL/RZA5GFnta91qt7NZPJwGc9hnmFauJ2gTAukADXdZu+e/PWLczNz79U2jCt2LXELklSeHMIAg6/8QZ+/etfY2NjA+Pj490fCEIgAInZMVxyNylQ2nmTodW+tLQEOY1WBSFQFQWqosB2HFimCV3XYRoGFFWFKsttLYwmX3QLhhE4jUORJOiseKNf90MakqpWq/jmm29w4ODB0I3UqTqzr1EMB9yq68fP/zyzeRaXlvquPAbY5DmbB2bzIL88BGltE8G9DeBWLXTdVMNG7BSAowKSH3PTtMBb1+Fe0OFcfIBAEkD2FZF5YwbyyRmQInORpJTM6Oc4spoWqrEaRmKsjHsAkobv+34o281cObpp4uGDB/jVr3411CKsYWPXEntcw0KSJJw8eRI/X76Ms2fPdrwBOj1cXJ5Xy2abAiVpUcjnsSwIYQf0qan2H2TpW/wG4wTvum6oI81cNSIhUFUViqpuU8lrFyfgHZuGBV6F6rguMv3eyF0eyKXlZXz//fc4/c472LtnT/uc6Z3OH0+BgYqTnhOxO7aNjfX1bf71QSBlVdhHJ0DePxDed8/qwLUVeNeX4a9WkbVaqjQJ4MqAI1MEJEywkT0gYwSQL1WASxUAN8PJ48RkuFI4UA7dOAkgQN/uKe4G1Q0DpmUh21J0F0lEJGzbaenZeu3aNRw8eBBqJvNSZsNw7FpilyQJQRDACwIQSrFvYQG3b93C0uIipmdnu1t1LRkmvB2Xwki2H4iSBE3TUK3VIhW4VnRq7SczKz3HijIcx4kUJEVB2CL5DpZzrVodais4ngrmOE7fxN7pUbx//z6uXbuGTz7+eGtp24Y0B1ZVHAKiVV6vqxee1ZF2QhjAx/5scRHT09ND9f/yGoooeL2nCOwpwv1kFoJuQX5sIbixBvf2Khzbhh8WekP0AdUDZBcQkg5nqRH+/O0DQBWB45OhX/7EJFDaCnhSDOaa4qqPlm3DEcUoaYEbSElXJaA0VDmVZYAQbFYqWF5exq9+9SsAeDFyFimxa4mdz5au60Jh6VRvvvkmrly+jF9OT6d68LiLIAgCGIYRNdEYBBlVhS6KqNZqGB8ba3qvSV2y07iYpa6qapTXa9s2DMOAwYK6iqJE1nQc9Xp96PK1qqqGfSOHVIUKhCR99do1PHv6FGdbhLyEluKT+HcAvNjgab+uGDIcEbo0ePz4MQ4O4IZJAndXxAPHvueF/ueMDOOoAu9wDkGwD8KqDuVOFfKNTYgPq+kZ2faBn5bDHwDYU2BSB1MgB8a6Z7MFFPj9Q+DmWujX/9VhIKaDo6pq1DBbFMUmwyupcJE3C5FZYsO169dx9OjR0EXKUppfVuxaYpckKexX6LpQWPbG7Owsrt+4gbv37uGNNOl+7EbRmVRAL8HSJFBKIcty2GGpXsdYuRyVJVO2v14hCEJY3JTJwPd9OK4L27KiMYuCAJXJlRJCUKvVhi5IpCgKDNMMrfYhWCl+EOCH77+HaZo4+9VXqVdIdBA3yJAwkCumB/S7dcs0UdncxMwQEgniEJhmjM+EsjzXRa1eh2maoetSECDLchgILRWBN+aAP0EoO3xjLRQtu7EK6D0E4p/Ww5+/vgealUCOjIMenwyt+kLCPfPb+yD/81b49/W1sCXh/+vMVlYOwtTkRqMR1pzk8yAd0md50FQURSwuLaFer+OjDz+MnumRxb5DUFUVlmUBfOYlBB+8/z7+/ne/Q6lYxNT0dNdt2KYZZtfkcgPrW/ClaqlYxPrGRph2OESSFUURmihCy4TFIDbrGMM1bMAULIfd61NgcQzHdfsi9rgdZDsOzn/zDTRNw+dffJF4ztuRWlxV8EUhavTR473yvMKmT548wczsbF8xok4gCAOJ3KAIKA1JPZNBIVbqvw15BfhgPvwJKPCoGgZfr68Cj2vp9294IBeXQC4+AyUA9paAk5OhRb/AUjp/9/9v702D5DjT88An76Ourr7RQOMgAOIiCQIkSIIHSM6MHOO1dhWxHq+P2LUctmxZG7LWYUXY1j+HHNoJ27OSvSttrBWxPyxHzNiWQztjyeEZUdTM8AAIcEgCJEEAPHBffdeRlXfmtz/y+7KzquvIqq7G0cgnoqOB6qo8qiqffL/3fd7nvdb8mmUL5P86Dfzys1H0j+iGnNN1NBoN2JYVr9CZ3zxblfq+jzAMoakqarUaPvzZz/D88ePRygXR55kR+wZBVdV46IVA3Rtz+TyOHTuG02fO4NVXX+0avQa0OUJWlKGQISv65XI51A0DS5VKNIBjA6RxgihCpzl913Xheh7m5uchKQoq1SpEQYAoSZBEMZ6KtB7IkoQGvQn2TRqUDA3DwMmTJzGzdSsOHTzY+Zh65JfvtyrmnhROB/y8bt68GY0HXCfYUAnf9+Mfy4n0jMV8HiEh0HW9yb+lJ3guKpDuHAH+u71A3YkI/rPFKH1i9YjmKaNyBMCNavTzo69A8jIwWwRXd9a+pO6A/O5p4JeeAXZHqVFBECArChzHWWP8xeB6Xtwrc/LUKTzx5JMol8vRjZ1G+cNYvW4UHmpil6nm2/V9aDTfxRGCyYkJHDxwACdPnsTrr73WLEtKkIZt2+Bog9AwQFjnGsehVCrBXlhAtVpFuSXXPkxwHAeRkrckCCjk89BUNS4G27RgJ9IGDUmSBtK4y7IMk3bN9vt+EURGXu+99x4OHjzYcyhB7JHTSm4PQI6dDKph75PYB/GLaRgGDMPAZIqVaitaiTygTTkkDMFTIszRz0TVNBj1+po8dd8oKMBz26KfgEQOkxcWooj+trHm6VEKZO1mOMNd1cy3AWf7IP/2Z8AvHo7UN4hqYa7rwnYc5GngwxESSR7DMCb802fOYOvMDGa3b4+2xfPgCHmgpY7AQ07sPM3reY4TEXvi4tm1axdq9TpOnz6Nl156adVdkT4nCIJY6SHQXPt6l8tBws9C0zTkNA3VahX5fH7o6ZEkmA+HQ0mX/RBC4Ps+PN+HRwcBW3akP5ZEMSb5NETP8zwkmo7pl9hv3byJs+fO4dlnn03lYcN1KDQ+EKqYPgytYgz43ep3Pzdv3sTMzEyqGw8hkf94MiJn1wC7rlgdi22P1Xh8zwMhJNZ2DwUCB+wejX5+fh9QsYGLiyDn58F9vhQVVtfxwXNeAPL/fgT89SeAY1sjDxlFiYZj07F44DggDOHSm9qnn34KWZJw8NCh1Q3R7+CDXDgFHnJiB1YVG0xxkpQuPfnkkzh56hTOnj2LI0ePNl0otm2vLqdSmmv1QuD7Tfsoj4zAtCwsVyqY6qZrXydYzq91VCDHcXGUDk2LL2TP9+F7HkxqbwpQqSUl+U5EL8tydGEnlq/dQAjB55cu4cuvvsIrL7+MUh/+9O2UMd2kovcKhJD+azEDShf77T69ceMGnuoyBzgIAvh00LRHyTk6PC5O2yWJvBU8PQ/bcaJV4EbaTIyowPFZcC9sizpZL6+A+2wB+OQOMN+PD/EqOEKA734CXK0Af+VQNALSceA4TuzNQ6jE8cb166jX6zhx4kTT940VTrOIfYOhqioaoCb5LX4rPMfh+eeew09+8hN89dVXsVImGa3HX+J1enMQRMSe9F0XJQnFQgGVahW2bW9YTo7jOPAcB8u2UeoywJrn+biFG0AT0Xs0T89hNb3DltoCLZ7KrFnJdXte1CQMcfbcOSwvL+PVV1/tP93V5vN4EOSOA6diBtlXH8+tVavwPA9jY2NxNB4GAYIwREA/59hgjn6e7Cft+XA8D48O0rgnESv7vEUeeHwMeHwM3P/wOMhiA+H5eXAXFoEvl8F5KW2IGU7eAMZ1cK/viqN2FrG7vo+5uTlcv34dr776alOqKXZXRRaxbzgkSQJEMZrPSdMdBKurNkkU8eKLL+InP/4xcrkcpqenm6P1BNIOsmgFoZ2kfhhCbiG8UqmERqOBxeVlbJuZGeQU04Hno4i9j5VBE9Hrepxj9Xx/NarD6nsp8HzUHWvbMSm0Kwz7vo8zp08DAE6cODFQ8bhdFyB7ZA2tr8MYrJ88NqGptn5XDIOGC2lnwIZhiCtXr2JychKGYcTqLHbMTNUkCEL0mQ2YF+cAuLYNlbqZbii6BVpjOvhXd4G8sgPwApDf/wDcl8t9bZ68ex3c67viqN1zXXCEYHlpCZ9fuoQXjh9fE4wkP/cHaWRkOzz0xA5Ed0/PMKBhdamURE7X8fwLL+C9U6fw0ksvRQWgZLSeQL/LX0bqbFh2O1fHUqkUyR8NYyiui+3AIbIaXo8Ei0XoLBphBbUgDGPPDI7jYNo2UKlAoMTOInpeEOC5Ls6cOYPR0VE8/fTTADDQzZLlO+MLPLkcpgqopot/wNVWPwNMQlocb1XFdCP65LCUAQ4ufi0bzcY+B/a5sO3fuHULTz7xBMBxkKjtLc/zUcQ5pBVOEATR8IqNJnWg43vG8XwkUiCRL38g8uDaFFp7YcUzce7HP8bU1BTGxsbAITLQu/T55zj4xBNrurfj7wl9LwtdVsYPAjYHsdMqfRAEHfOf42NjeOrwYZw8dQpHjx7FSId8Lxu5leZSSJr/d9NYF/J5GPU6llZWujo/rhfDaiBiiBU3icfyVO/P0eV4EAQIqMdNrV7HJx9/jG2zs9i5fTuMRgPM/57juPh1PNd9rBwB4oIjlyBudvNcL5kPik4a9p43hmSUT4+/tWEtGSCw334QwPc8+JTU4/eDpt5EUYQoCKhWqxA4DltnZjYuTUVI5JtCo/77hsR7TQDwAGC6/W1CEjDyq8fxJGdjbm4On376KUzLAiEEU9PTmN22bc1rkgGfrKqp7LzvJzYHsSsKarQbTlCUjlHY1pkZVCoV/OxnP8OLL77Y3naT48CnUDGwQkvrY20Ji+MwUi5jbn4elWp1jdXAMEAIgW3bw1UqtAHHRa6UtutCkSRAlgFNw9zcHD7++GM89eSTmJycjKJ834fLinTJ6JoSE/OW56klBE9/2L9bV199ea1sAGJnx35uzJSwQxrtJsk7pL8RhquKqpYoHUDsJS7QCLx1/3fu3MG2bds29L1xPQ+g0fqG3k571bpaz5HjgL1jkY98GxCBB6Zy4LYWQYpK1IV6bCt4nsM48hgfH8f27dvxzrvvAjyPXTt3rr2GW27Ew/Ri2ihsCmIXBAGCosBz3dWiRpsviOf72LZtG0bHxvDuyZM48vTTbX1V0izPw5ZBvZ2MhBg0TUNO11GrVlHYAPmj7/uxUmGj7WFlSuye70OSJFy5cgUXL1zAi8ePY3R0tOm5LH0Q0iIeIzRCyc4Pgih3zUYBJiJbQotVPMeBFwTYth2PGmRKpuglXCyRTG6DFYKbnpMCyfRJUgbreV6sKmFpGfb3ZE6bFS5DqotmNwT2HWEBAM9ubIIAMXEz4wUhTvewz7Xbsd64eROvvPxyqnMbCITAoT0fEjXf27hddb+O1tReOA74n58CfnAR5HY90sbP5GOTMkzmQARuNX3XgoWFBZw+cwaz27aBlyRIbdJMvCA0XVMjLd/xNPjt3/5t/Pqv/zq+853v4Nd//dfX/P3SpUt46qmn8Pzzz+Ott97qe/ut2BTEDkTpGNuyENLcW7yUTzzH933wdMma03WcOnUKhmHgwP79zRcP19nvHKAdph0utm5fyo2UPzqOA1VdnSK/keQuSRJ4nofjOLh06RLu3LmDE6++ilyLgRpJRKG8IHQt2jGCZIRI2I3A96PCNLVQCHwfpmmmj05bbvBckvy5yIO7Wq02HQN7fnLFQDguGuHmuj3ljmzlIfA8JPrc5Kok7U2mSbfPgo2WVcvi4iJURRmqdUUrXNcFCcPY+rbXaLr1oNe70vZbXVJB/pfDHQMyvsPjV65exfnz5/HMM8/A8300LKt9tN7y/Rmk4fCll14CALz33ntt//4P/sE/QBAE+N3f/d2+t90Om4fYFQUmx8H3/ViW13qHZpJIQghGRkbw+uuv4+TJkzDqdRx95pk10qZ2X4aO0UoKIhUlCaVCASsbIH+0bTsuavVTEBwEHBd1sn7w4YcIfR8nXn0ViiQ1kSIDSSkjZYTLJ/O3NI3BIAgCAt9HsVhcvWmgJS1GH0/m6ZPHxcgxfk4YRtrtBNk2kT8SUT8i87l8Pr9KQIkaQvK5q6dA1vVZJHPzHKL3k0XzhBBcv34dW7duHXj7PUFIpPOmTUv9igtSo4/vST+Pt3vvCSE4f/48bt26hRMnTgAAVioVaIoSpcwSNZHWaL1QKAxkh3z06FFomobTVC2WxB/+4R/ijTfewK/92q/hqaee6nvb7XBvBLn3ALIsA4IAx2n2i2AfSdNAWvqhqaqKV0+cQBAEePvtt5tf2yaq6tadmlb9UCyVIIkiFpf7k2f1QuuNYqOaeFgu//0zZwAAx557DjIj9fYvGHxnbc6B4/nos6EpDJ4qeWJdNl1Oy7IcTaJSFKiKEjtkapoGTdeh53LIUTfPXC4HXdfjjl1VVeNBCoqirA5Ypj7eoihCYD80590uCictN6ZhgDXSsa7iW7duYceOHdGNZgMiacdxYjMsICK6jUzF9EKvd7O1sN1aj/B9H2feew9LtL9CluVoWDtNMxFE6h+g/TXda4ZsJ0iShGPHjuHGjRu4c+dO/Hij0cA/+kf/CJOTk/jN3/zNgbbdDpuG2DmOg57PRyoC+sHEkRcQz+2URLHpwxJEEc89/zzGx8fx5z/+Meq1Vce5VlpJ84XuRahM/hj4Pur1eu8TSwlmZpb2OPoBSUS4tXodP/7xjzE5OYnDhw/DW+c81F5Inkev/OtGI+zTACz5/dsIXL9xA5MTE/ENnTkP8sBQFEMkDOE4TnzjBOhqcMjE3m513fG5vZ6QiLZbV0uWZeGtt96CIEl4+aWXIElS3JPB8XwciTNi53m+6UZCCMHoOuacsnTMqVOn4sd+8zd/Ezdv3sS/+Bf/oq/O7F7YNMQOAPliMWrUSUTebOnI/CDa5Xk5jsOhQ4dwYP9+/OSnP8Xc/Dz7Q5SfQ/e8esvGej6lkM9DkWUsVypDi34cx1mjiFkvuRNEEj/2Mz8/j7d++lM8vm8fDh46BJUOAlnvsOtuWHMG91kVc6+6ToHuJEYIweXLl7HrscdWH0v85hIpm0FJ3nFdEEKaVoKd8tXrwUZsjxWhGSqVCn7yk59gy8wMjh49Co7n4bguQnp+YRhGKzGej11aW68fWZZRWAf5MmJn6ZiLFy/id37nd3D8+HH84i/+4sDbbYdNRew8z0PRdbiuuzo3M6EuEOlAjk6Et2PHDrzwwgt4/8wZXLl8OX790JeeHBdJHgnBSqUylE1alrXGv6KTmVYvxMqORAfjjRs3cPr0aTx77Fg8JJnVMmy3s4743irNNw6xQdY9vLGQLvtaXlmB7/tdnRzZCofjuL4vdBatM608A8/zwyXiPt/PNPtmKwCmXLp95w7eeecdPPnkk5GlMcchDAK4jhPba4DjYjlpUyomgdI6ZY4vvvgiOI6LC6i/+qu/iiAI8Hu/93tDT51uKmIHAK1YjJopWnLt7I7cC+Pj43j11Vfx+Rdf4PTp07BsO9XF3K9BlaKqyOs66vV6JN9bJ5wOxViWk02DkJBYkhhHf4Tg0qVLOH/+PF555ZUmIuF4Hoosw6eRT1uslwSS72eLIuReIuwQxaV5zaDotqfLly/3tD9OginEeKRL1TiOA7RE69FBcasKnfVigO2kVRNxPI8gCHDu3Dmc/egjvHj8OGYSRWaLSmZVRUFAfXRYvaZTwXsQmWMS5XIZBw4cwAcffIDvfve7ePPNN/HLv/zLOHLkyLq22w6bjtglRYEoSXAcJ/5wWKogbcdcPp/H17/2NWiahj/90Y9w9erVnq+J1Rd9YHRsDLIkYX5hYd0kYFO5Yys4WmhshzjVQqWFaxquwhAfffQRbt26hddeew3FNm3UiqIAHLfmRpo4gL7PpRNa5av3EvFYvpSpmGHYQHeC47q4c/s2duzY0fdr2feU7xLFh3QADWuKSoI1lq2X2JlSqd/PM81eeZ7HrVu38Maf/Rk8z8PXv/71JlL2qUMpsxVhETqL2IHVeadJlNdJ7ADw8ssvo9Fo4Jd/+ZcxPj6O3/qt31r3Ntth0xE7z/PQ8nkQQuDQFEEcTfeRHxVEEYeeeAIvvfQSLl++jLfffhtGimJnPxEdz/NRQw8hWFxq3zmXFkm545pjQnPUzi5ulmppd7F4noeTp07Btm2cOHGiozRTEASIghC/12swhMjuXmjze4HdeNOmYoZVOG13xteuXcP0li2raYQBt5uM4pNwHKejgyG7sW3kamQ9r7MsC6dOnsQnn3yCZ555Bs8++2xz0xFVdTGFE7A6+Yyn3kftbt65XG4ojo4sz24YBr797W9v2BCeTUfsACDrOkRRbIraB/kikTDEyMgIXnvtNczMzOAnP/0pLl640F4VMOB+NE1DqViEaZowjP7NjBhc1+14oSej9riVvcuFaZkm3nrrLeRyORx/4YWeKx1VVUHCsK1CZhhUfD/91xnYZ542OBjWTaj1zFnR9LFE0XS9SBJ8GARRBzc1Elt7QNz6tewb8HkSQvDll1/iz958E/lCAV//+tcxMTGx5nNwaP2NzWEAVlUwIptn2uazKw2JgFn67NixY/g7f+fvDGWb7bBpGpSS4EQxGsDRaKwhG/YlDkl3+9XWbrM9u3djZmYGH330Ef7szTdx9OjR9l4zA2BkZASWbWNxeRnKgPNXu80iZXpcn7ozdkOlUsGpU6ewd88e7N6zJxWpSpIUqQwcJ5KTJjCUSzjRfHS/KD7sMxWzUU1i8wsLEEVxjXXDMEAQRbyE4zpGp2wgxbpWYkN+X6q1Gj768EMAwIlXXml2XmQ3IhJ1Mzu2HQ+UYWgyD+zwfS8P6Vr/V//qX4Hn+Q0pmCaxKSN2QRQhqyp4QYg8LujjHBJE0+NNbVcM1DUNLx4/jgMHDuD0e+/how8/hE9zceu6iDkOE+PjEDkOC4udZzd2Q1uf8IRUEUDP+ZR3797Fu+++i8NPPYU9e/em/uJxHAdVlqNZmS0pn2GCyfjuB8I+pY5DI/WW870y5Gg9CdfzEAQBNFWNzdjancW6PoEhfn5BEOD8+fN46623MLttG145caKrnS4TKbSmFQPfj+0e2n1uoigORWP+3e9+F3/8x3+MX/mVX8GxY8fWvb1u2JQROwDwtGvQMk0I7VIJXRQWsSlVu85HjsO2rVsxOTGBTz79FH/6xht4+vDhdUdQoiRhpFzG0tISKpVKXw5yLE/emotm9sOtN7Z2F+vly5dx8eJFHG9j5JUGiqrCchy4bfT06wY7r+FutS+wgRVpMdBs1B4wLQsLCwt45plnhrpdgHYUW1Y8uBpI3EhpU1LaoKgThrmKWVhYwIcffohSqYSvvf56NPiiy3GFdF6roihrelmCMIytRhIHG/9zasuWga22r1+/ju9+97v46quv8Ad/8Ac4dOgQ/uW//JcDbasfbGpilxUFtmXBoXdq9kVtZ6aURK8pOcy69uiRI1haWsKHH30EXdPw2O7d64pICoUCLMtCpVqFpmmpizVJvXJSqtXuSDieR5hIyRBC8Omnn+Lu3bt47dVXodM2+37BpvQw2SUXbXygbXXFfYrYgzBs0nN3RY/vTz9IkuGVK1ewddu29oHKOmHbNkDaDKhmHjiM2BJOlf0i7ZyDbnBcF+c++gh35+fx9OHD2JJiKhmzweCpvHHNcXWRQgs8j61tHGDT4oc//CF+4zd+AyMjI/iFX/gF/Ot//a+ht5jlbQQ2ZSoGiIhGoFG75/urDUtAT3e9VC3TtLNvbHwcX//a11AsFvHeqVP46OxZWKY58HGPj49DEkUsLC6mVh6wQd5hG8nimsMG4nxiEAQ4c+YMVlZW1kXqDBq9aJhUrFuDTb9gjp33Te4YhumjtmHefBKrr6tXr2L3BqRhfN+H67qQFKXnTYPn+bZjC3tinSoh23Hwyaef4oc//CE4QcA3vvENbJmZSbVN27bhB0HbqN73vOha7jSgZ3JyXeqjv/f3/h4IIVhZWcF/+k//CTMbOR4zgU0bsQOAoGmQbBucYcBrlePRIlA71UHqC5OSDS8IePzxxzE+MYGFhQX82ZtvYsuWLdi3bx8Kfdqp8jyPsbExzM3PY3llBeMpijZ+G7OiXsft2jZOnjqFfC6Hl19+eShTnURJgkCN2GRJGm7EzrZ1HyL2WOp4D+0EYtDv2J07d5DL54c+ko0VTDmebxvNdnoN+nkv+vCCaYVpWfj8889x/fp1bNu2DV//2teaxj/2EkF4rguXzmkQZXnNcdi0/0JOzEsGVtOWW7dvH+i47zc2NbHzPA9RliHJMizLii5Qupzu9FXo9+vHctZsVNyBAwewb98+XP7qK/z0pz/FxMQE9u3b11fOXNM0FAsFVGu1eEBH+4ONBjmEQdAX6Rj1Ot55911s27YNBw4cGGraQKbvdTDkHPP9zK/3S+zDdHRk369+O03TwrFthGEYpQfSFsvp0Io0w9/7GTWZhGEYuPT557F75de//nVomgZCu6OZb0+371jg+7AsK57j266+5HkeODrUvRUjo6P3JG2yEdjUxA4AoqZBU1XUqlWYjQZkSrBxPhotJD9AizNHVodYkzCEJEnYt38/9uzZgytXruDdd9/FSLmMA/v3py5MjpbLcGwbi0tLUGV5zRKZ+bmwfaYl0YXFRZw5fRoHDx3Cjp07h+7UpygKLNuOB38MFQN636wX/TYnDXOlQgDU63VUa7VopukQETI/GElK7THe5LaJiOS7WVb368hZrdVw8dIlzM/NYdeuXfgLf+EvtCXdVufFNfsNQ5h0cEZO1+OGseRrOI6DnfSLQfNnve0hjdaBR4DYeVGETLvGTMtCLpeLdeJsuZVczg1UtacNQBxpGQwhitizdy8ee+wxXLt2DadPn0Yul8P+/fsxOTHRnaRo/v7O3buYX1zElunp+E9JUgc7/hTR5PXr1/Hxxx/j2HPPYWpyciAbhF7gafTj0iaXYYHdgO9Hjr3f5qRhggPw5ZdfYuf27UNPBTXoJKq+VUwt10jHa6ePFMzyygouXryI5aUl7N6zB08fPty2n4O0/O4Ei65EcrlcU3NeEi5tYEx+TwPa91Isl9dt+nU/semJHQAkXYdGDbcapolSsdgUeQyjZZ3neRCuvVc1LwjY9dhj2LlzJ27cuIFzH30EUZaxf//+iLA7ELwsyyiPjGB5eRnVWg3FQiH6crYeJyFdo0lCCC5evIirV6/ilVdeiTW5HD3uYbtXqooC13XhdOmGfZgQ0KjzfuTYbdvGzZs38Y1vfGOo23VdF2EQRAqmfvPlaE/iTV7tKUidIBrtd/HiRdRqNezduxfHjh3r2m+R5hp1HQee50FVlCa1S7K5iue42N47+R31aaNfu1nIDxMeCWLnRRGSokC2bfi+D8u2oWtanP8D1t9QwgYTd8uvcjyP7Tt2YPv27bh1+zY+O38en54/j/379mG2w5T5YrEI27KwvLwMWZLaEmU3zXRAjbxq1Spee/31tZ7tGH6XpCiKkCQJtm1HXakPea6dBAG4lFLHYXebfvHFF9g2O9tUMFwvYvlfQrPeD3pJgYHu0kYCYO7uXVy8eBGObWPvvn04fvx4zxsnkyF3e48Den1Lotj2PeOBaMA4IumkQGW6bPtBEKBYLGJiaqrrsTzoeCSIHQDUYhGmYURDmG0bsiStToUBAI5rkkQOAoFFLL2UNRyHrVu3YuvMDObm5nDp0iWcO3cOs7Oz2LF9e1RoTbx+dHQUlm1jbmEB01NTa9r2O3VFup6H0++9B0EUceLEiY5aXY5KJYdJwKqqwnGcWJEwLNwPfW5ICIQ07w1Z33zTVniuiytXr+L1118f2jYBahtA0xSDoGtum/5uNxWpbhi4du0abty4AUkUsffxx7Ft69bUKwae5+PpaG33TfPqPM9H0sYOx8fT77vruk11oID2d2x7yKN14BEidkXXm9qGG6aJYqEQfwGH0VDDvqC9IvfVF3CYmp7G1PQ0DMPA9evXceq99yAKQhTZz85C0zRwPI/JyUncnZvD/MICZqanm4tYbaKjRqOBkydPYnxiAoefeqprNMQhshsYZkqG+XGw4tS6bxrs/bwP6ZAwDCGkKS6uQ9bXDl98+SVmtmzpSFKDwPN9eJ4XW24Mik5Dotn1xGTDLJV0/fp1mKaJbdu24YXnn0exVOrrO9HafNdu36ZpIgxD5BN59TXPo7/ZdKjkioWlYR7moinDI0PsACDn83BrNeRyOZimGQ2ATlw0601J8Dwfe7/3u618Po+DBw/i4IEDWFpexrXr1/Gnb7yBYrGIHTt2YGZmBuNjY1hYXMTc/DymE0vFkGrpGVZWVnDqvfewd88e7Elp5EUPeqjEpGsaKrVa1Mo9pFz7vfaKYWRyr/Prnu/j8pUrePnll4e2TQJEtgEdOjDTotMnwMbmBUGAO3fu4Nq1a1hYWsKW6WkcPHgQE+PjAxWg01xLjuNETUiq2rnJKiGSYDbTye+l73mYmZ1NPbfhQcbDfwZ9QMnlYNNh1aIkwXYcSLIcDwFeL7HxgoCQfmHY9vq+UXAcxsbGMDo6iicOHcLc3ByuX7+Os+fOYXpqChMTE7AJwdLyMsaodDIpd7x95w4+/OADHDlyBFsTE2N67hZ0iTrMXLskQUykvoZCyhthU9AFYWKwcS8MMw1z5fJlTE5MoFAoxLay64Vt2wgJ6Uuz3hbt3gtCML+wgOs3buD2rVsolcvYPjuL555/HqIoDrwaTJMm9Hw/borrVDMgCYEBAeDSIdaxv3wQAByH2U0QrQOPGLFrmoaqKMZ3dqNeh2Wa0HO51S9OYinZLxFxWC3MJKV5/V7uBNS/QhCwdWYGW2dm4HgebtElba1WQ6lcxs4dO7B927bYA+fLr77CpUuX8OKLLw5k5MWB6pKHlZIhBKqmRfbJnjcUhUw8x/UeEXxqu94h5teDIMCXX36JF198cSjbA6htAJ2KtN6IlEvUkOq1Gq5dv44b169DliRsnZ3F17/xjeYifcpmpnboRephEMA2TfCC0LT6bgKtkcRSyTCE6/vQdD2uhwVBgPLoKPL5fN/H+CDikSJ2nuch6jrcRgOKokDVNFiWBdfzoCbbjblVD+e+8oDMqD9ZzKQNTGkveYLoy9q6V0WS8NiuXXhs1y7UDQMXL17E2bNn8en585gYG0PDMHDl8mW8euLEur6cg96MOoF1otq2/VBKH9POOm1XLBwUV69excjICEql0lBWUISQVduAIahrHNfF3Tt3cOfOHdi2ja1bt+L48ePdrW1TKFpaj5kptpLbaH2OaVkgAPJU5dYOfILUgVUbAUWS4iAhCENMz8xsijQM8IgROwCUSiUs2Xas1nBcF7ZpRkqT5MU5gGkR6z4NCYnVG32lZGjjUa/9FvJ5HDl6FDN372K5WsWdmzejcV+iiEuff47JyUlMTkwMpEbhAGCYUTsATVXRME24nhd7cqwHTLJ2L5A2Yh/WjZCEIb744ouh+nWbpokwCJDL5wfKcfueh8XFRczNzWFhfh6WaaI8Po6Dhw5hYnw8/fARpHuf0gZUtmUhCALout61ENy6TzaoW6bBnO/7mJiexvj4+D2v4WwUHjliVxQlyrUbBmRZhk4bl8xGA3prpNtnFBY3OiU8aZr+1i1yT0nqDCLPY2pyMkrZ7NgB1/Nw/IUXMD8/j2tXr+KDDz5APp/H5OQkpiYnMTY2ljoaGXbjkizLMG07itqHQOxrQN+7kEQ++gH9TcJwdfnNPkfaHcwaVQiiNnbWOQwgbj8Hx8G2LPhhCNdxYlUVR3sWWtvrh4HrN24gl8utptLWGbE7jgPf96FoWmq7XxIEWFpZwfzcHBYWFlCtVlEulzExMYGjzzwTfT8kCbqm9X18af1l2h5X4nG20u41cazdlpiNAsu5S4qCLTMzD60vTDs8csQORL7ni5YFx3WhKgpURYFpmpAcJ3KAGxCMENotn3tF7oMsuUVRxOTkJGwasecLBRSLRezZswchIVhZXsbc/Dw+++wzVCoVjI6NYWpyEpOTkxgZGekpgRxavp22rTdME57nDTT6j5k/ua4LPwjg+z7CIIj9fhJPjG7IYQhQ8uVA88KCEJNydFjR3yRBaHL1DElkrsYRAs/3EWJ1+g6wWkOJrSS4yMJZEITILpruZ5BzvHTpEp5++unVB9cRQQZBEA9u7rp6IwS1ahXzCwuYn5/H4uIi8oUCJsbGsP/AAYyNjsbdoIQQVKrVSNc/yE2nS0qGqY86rm7p45ZlxSvujqmlDlF/EARwfR95quEPCcHs7CwKTPq8SfBIErssy1B1HY5pQg5DKKoKx3VhmCZKoti8XGVf4F5NR6DL9Q62AvFzaJUfrdHegJGZIsuYnpzER2GI+bk5TE5NRV2wVF0zNjYGHDgAz/OwuLSE+fl5vP/BB7AtC5MTE5icmsLk5GSk/W05Pw40ShpCnldJ5Np7EXtIl8dhECCgP57noUF1ypIoRmRKCVRIRtE8H3cBp0W3Rh1CCERBgKZpsd998jdbKXi+D5f60APRe8dUF4IgxKTfDbdv34Yky5gYH0997N2O2zRNcBzXNhK1TBPz8/OYn5/H3Px8FCRMTGDH9u145tlnO66sCNbfJMaChtbIvVcOntUKepF6UgHTCsMwwAHQVRWEEJTHx5HP54faK/Ag4JEkdiCK2hdsG24YQuV55HM5VKpV1Op1lAqFZklXwh+jVzu1QCvs3cDzfJOtLVmnnK2Qz4PnOFiOg5WVlVgGmYQkSdgyPR2biVm2jQUaoV24cAE8z2NichKT4+MojYygUChAoCQ5FAtejoOqqjBNE77vN6WFGJH7vg/f86JInL0MkZmaIssIggD5XC7yNxmyDUI7sBGJPJXEdiPmkBCEQQA/DFdvSL4PRvWMEEXauCW1BBDMz+fggQNDcbBkNtV6LgcOkVVzpVrF4sICFubn4bouxicmMDk5iYMHDvQ1ZKWXB3oatH52aT5PRurygKTOGhMVWYZILQfGxsdRHLLH/YOAR5bYJUmCruuwGg0oggBeEJDP51Gr11Gr16OlWQu5p/kqi5IEt3WoRxsItDt1WHlsRVEiCWejAVGSoptTF2iqiu2zs9g+OwtCCAzDwPzCAm7fuYOLFy+iYZooFAoYGRlBsVhEsVhEqVRalz2AqiiwbRumZUFV1ZjIA0rkHMdBFAQoqgpRFKNInE178n24vh+nOe6F2JHdoHvZ9bJj4QUBsiAAiWiXNewENH3k+z4834dFtysKAkRJwuLCAgiA6YSL5yDwPA9LS0tYXFqC2Wigbhio12pQVBUjxSJGx8Zw7LnnUGwxwksDDqvuh+t1umRRe0BnCaQhddbF3M2NUujw3eAA1BsNhEDs+Dg5MwNZlodqefGg4JEldmB1xqhNCDQuGhKhaRpM00TDNKM8XPLLz/7d5UsoiCJCx0GYZpQaS/EMAawQLPA8KpUKJFGMilspwHEcCoUCCoVCPHotCAJUazXUqlVUajXcvHULtWoVgiBgpFRCiRL+yMgICmnUFoTE+fG6YSCn6/GcVEVVIYliX7lpJkcdRnTb+ZCjz6ab2yDQXWvNcVwcpTMCaSV51/dx/sIF7NixAw6tQfS8mRCCRqOBaqWCarWKaq2GarUKx3GQz+eRz+UwNj6OXbt2oVQspvZb7wiWQox2PrRmM14QetZxbNuOnUK7pUy6Rf0hIl97gYvmFU9OT0OSpE0ZrQOPOLELggBd19FoNKBqGjhqY0rCEBYdftvvHFCWYvB9v6tum4AWTIeUw5ZlGb7nYWJiAnN372JhcRGTExP9e21TCIKA0XIZo+VyfLzMZKlaraJaqeD2rVu4cOECLNNEgUb0I6USiqUSRkZGIIhiNJrM8+B5XkyAiiyD5ziM9OkXArSoHOgkn41CHLF3uWmxlUY/YDl3RVFACMGNGzfAAZianITjOLF0VaajBj3PQ42Rd6WCSq2GWqUCRVVRKhZRKBYxOzuLJw4dQkDfjzxNzw0NVLHVdjjNgEiTfmGkLklSz8i67VAPug/LshACKOo68oUCCqUSZFl+KHsr0uCRJnZgNWqvuy4KggAOgKJpCBi5s6aO1oukQ7Qo0FysHwRI/ZWh6pP1XCySJMH1vDhXzgzDJsbHU0fu3cBUIJqmQdd1bNmyJf6b7/uo12qoVKuoVqu4ceMGKrUaQFdBCl1N5HI55PN5CIIAKwigbcSUpSEiddfpOuD7Pj47fx579u5FrVaDaZowDAMmLTQ3Gg24rot8oYByqYTiyAhmt29HsVCA1EJKpmki8LxI1z1EUk8SJiPiYdRc2E2RS64GErAdJ4rURREKLV533Fy77SdWxEa9Dp7joOk6xqenQQjpex7xw4RHnth5nke5XMby8jJMADrVM+u6vmoDynGQFKXZdqBDpM1UGiwX2QlNBdaEBGzQy0Wmwy2AaNUwPTWF+fl5LCwuDo/cOQ481mq2RVFEeXQUuXweo2NjCHwfhBA4nhelG1wXjuPAtCzcvn0bFk11WbYNURCQ03Woqgotl4OmKNB0HZqmQVVV6Jq2hsCSGMT6IS3CIBjYAZHQgrBlWbEayLIsWKYJ07bhWBZMy4LjOOA5DtevX4dGxzjm83mMjY1BUZRo//T8eCBKW7Xx3XFcN7ZtGFr3JCPxlvMCBif2discZrSWfNxxnMj/RRSh0kArNVpWAq7jwPV95HI5TExNged5lEqlgWS3DwseeWIHosJjsVhEtVqFQAgkGk3kcjnUDSPKt/M8xJRGVpIkxa3O7Z797W9/Gx9/8gl+7dd+ranDkAPw//z+7+Ptt9/Gf//zP4+/9lf/aupzkCUJXkJuJ4oiJqemsECbTMbHxgb2306idflMCInTBwGtK6iaFsnluM4e957rwjAMiIIQrY4sC7ZlwbJtLC0twaLum6Ztx5N+2KARkaYoBFGM9eOxpFAQICb05IIgQOB5CDSHH2vNaXEWiCLDpLTSDwKEYQjDMBASgkqlEqtcgiBAEIYIfB8+e4z9n/62aTMWB0DVtPgmpakqiqUSpqanoaoqBEHAW2+9hRMnTnSMHsMwjLTXdCIV27aiKLEdchCGsBNDm4eCDimS9RB7p7QVRz9DFpE7jhMVSimpd6xftH1wbXqn0WgAAIp0xZPP5zdVM1I7ZMROkcvl4HkeTMMAR0kBHIc8JXej0YhkhYIQLXOTUXtL9M4ipqBF1sfw1/76X8enn36K//yf/zOeffbZ+Iv73e99D2+//Ta+9vrrfZE6EOXYvRY1jigImJiawsLCAhaXlyNPjSGRexAEMdGwQrGu603RZLelsyTLkCQJPp1YM9LFZ8QPAhiNBlaWl2PrB0Z4PiPbIIBLrVsD+rcgCCLCpoTLSDmkZOzTBqc//dM/jQmfqXEEQUBICERJgixJ0d8Sz5EkCYqqtr2BMBLvFTmf+/hjbN26tXdKgOMgKwpkRYHveRG5M/KjKTjQNMPQVi8dVqSDrirT1iJc141cVxOk3i4Pz+wJuJbHWntEgiCIVFiahplt26AoyqZOwTBkxJ5AqVSC7/toGAZyshxHgPl8HvV6PSb3gOfBo7PToCiK4IA1em0g+jLOzs7ipZdfxttvv4133n4br5w4gf/yX/4L/tt/+284/sIL+Nt/+2+DcFzc4p4GkiTBsqw1j4uCgImJCSwsLGBpaQlhGKK4ji82oeqWhmkiCEMIgtA0ILwJPQrDqq7DqNXg2HZXtYMoCMjnciBUl60k5YRYn13uf/yP/xE//5f+0prHCSGoVqvQdL2jlzzhaIfrAGCDVX7u536u6/PWpL0kCXlJgk+tauv1OjzPi+SLAx1JM2K1UafjIWTDhp14rhuPtdMSkXrr0TQNx2HHxZ7XcvMwDAMhgMnpaeRyOZTL5U3VYdoJ92PS2AMLjuNQLpchahoatMEDiFQM+VwOYRhGyzqaE4wjUkbwie2IghAP3UiCXTTf+ta3IEkS/r/vfx9vvPEG/vAP/xBPPfkk/v7f//tRQambr0wbyLLcUT8vCgKmJiehaRpWKhXU6vU+trwK3/dRMwwYpgmO51EoFlEoFAbOVYqCAEmWYTtOzxxqfDG2iyIH2nt3pNKwr6MH4ZNPP8XevXt7pk467V2kqSWJFqZDQlA3jKZ0XL/oZIeRRNilAaj9RqNroxuZMtWK3YbUAayVQyaPsUtPAwnDqK9DELBtdhajo6P3ZSD5/cCjcZZ9QBAEjI6OgpMkNAwjJmJRkqBpGjzfh2ma8fNZcw2AJnIXaFTVCnYzGB0dxTe/+U0sLCzgD/7gD7B37178b//wH65G+D0uhlZIsgyvS8GW53lMTkxAV1WsUO1zWoS0Y69aryPw/ShXXChAYmmpDkiz4tBUFRzPw0p4sXTDmugNvRuIBgH7nDoRwXpuJouLi6hUKtizZ0/P53baj0uLi5qiYHR0FHldh8BxsCwLjUaj/8Y3jus6gDo+nn5WRymkvGEYwmw04DoOZEVZQ+od90kJvdvxNEwTnutidvt2jI6ObhpL3jTIiL0NJElCeWICAcc1kTjr7nRdFw4lIo6LvGGaondEERUB1toLJL6IyVzf3/27f7e9pjYlacW51i7geR4TExPxyLqVFORuOw4qlUrszFgoFNZEmR1vQCmOnRcEqDR33O5GuGZbHZRIw0bQg9gH3SMB8PEnn+DQoUM9G5+A9jdH3/NgUnMvlsIS6WejUlmg0WjAtu30/udp5bYp7SXi3HiX5wa+D6PRgO/7cZG5tdGNbSM2c0s+3gMrlQpEScL+gwcfaFntRiAj9g7QNA3FsTG4jgM7kbtWNS2yoaUqjiQCWowD7TYEIU1T1ZM5wFMnT+J73/tePJzghz/8YeeDSXEhybIMjw4Q6Aae5zExPo68rqNWq2FlZaXt89jSvmGa4HkehUIh0kd3GIu2HmpVqJTUbFMjYOi2/Y3wjCFhGJuMDXOfrBlpdnY23XG07D8IApimCYH6G7V2RquKgkI+D1kU4XoeGlTZ0wnt8tXdEBDSu8uYRf9dvreu68Kgac1cPh8HC61bjk3H6HUV59J7gHXh7t2375EolrYiI/YuKJXLUGkDU6PRiC9mXdejyUC0gSQpAWO5d6asaJfzPHfuHP7t7/8+tm3bhm9/+9vYsmULfvKTn+DOnTudD4bmKjt9qXVqhZBmCc7zPMbGxlDI51EzDCy3kHsQBKjVanCprXGhUOgaXcbR1ICRM0clkmEY9lx1tH39QHvtjiAIuqZ4BqF1Pwhw/vx5PPnkk+lflCDlMAhgNhqxWqvTDZ8XBOi5HHKaBoKogNhpNdSPLXNICLgeOXb2Heh2Q7RtG5ZpRrWrfL45RZLMrdMGIxYQpb2ZNhoNLC4vo1As4smnnkr1ms2GjNh7YGx6Gpquw3WcKOdOl6K5XC5Oy7DHkwjCEIIoRs069DFCCD7//HP8n//m32B0dBT/+B//YxQKBfyVb30LYRjiP/yH/9DzeDoZYImiCI26J6YBz/MYp+ReNwwsLi8DiCKpaq2GMAyRo06KqbDOdIhCHRRNy+oobwPQMWc77HRMSBU/7UC4/qdrAcCXX36JkXIZY33Y8sbfHVq4DwmJTax6QZLlqNOX52GaZjQ5iGIQd8wgCBCivXcOkzN222IYhtFx2DYkWUYul1uzAkx+zswcLK3yiRACq9HA8soKBI7DseeeS5Xu2ozIiL0HBFFEoVyGnstFBlb1ejy5XqXt9czYKkykXZj5E9NQE0SzLP+P73wHmq7jn/7Tf4qRkREAwLHnnsNju3bhww8/xKVLl3oeE9PwtqJYLKJWq/V1fuNjYygVCmgYBm7cuoVqvQ6O55EfQO0SFzLbdCz2fjH1DScEThd3zI6X9xCJnXVCDjO/bjsOvvjiCzx56FBfr+OiA0Kj0UBASb0fsmKKLlGS4LguTNOM7Yj7PY8wDGPCbT5IriepB7QXwfe8+LppdzNmU7A4Ovwk7a2H0CKsQQvHs9u3Y+u2banPbbMhI/YUkHM5qIqCXC4HQnPPrCiqKEqssU4+DkQFTY7jYLsu7ty+jW9/+9sAx+Gf/JN/gsnJyaZ9/E+0Iel73/te7wNiipmWC6NYKg0kZSyXy1BkGbVqFbVaDbqmxV2Zg4Cn5lyt+eFeECUJoihGTU8tEVrPiLxPeWg3sLpIO2JnpNgvLly4gO3btyPX56BxNjDDD0PkNG0gZQdH8/GaqkbNXoYx0HsVBAHANQ8x4VJo+T3Pg2EYa/LpHY+XOj6mnSoW0puG5/twPA+aouCp5BSqRxCPjv5nHeAFAXKhAFKvI5fPo9FooF6vx5GQKEnIFwowDAP1eh05XYcky+B4PtKXOw6mpqfxf//e760u41sUA4cOHcK///f/vv+D41Y9ZgrFIu52y9N3gGmakBUFExMTMC0Ld+fnMUG9SgYFz3Gx02A/0HQd9VoNpmUh367tu1Mqhu5zGIVURtztIuNBUhhLy8u4ffs2vvGNb/R9LLZtw6MS026eOT1BCFRVBc9xaNCaUY4O4UiLpuEwoO830LVhybZtONStUtO07qsN1jXa2ifS7ZiCAKZhANTbneN57N2/H8UuncyPArKIPSVkXYdEI6ZCPg+e51E3jDhvKQhC/LjRaMSPK7IMgihqSbZAB2R1oPJ6wS62UrGIep8Re6PRgGXbUFUV4+PjmJyYAEcI5ubnI9XC4Ac1kL5cEIRoCIfnDVRIHQbaRaYM/a5CgjDEhx98gMNPPdW3RWxshJXCsrYnaL5akmXoqhr1JjQafUXuYWLQSZp8eqPRaMqndyJ1Nmqw3/fWo6ofjto9OK6L6akpHHziib62sxmREXsfkPN58HSkWSGfhySKaDQaseyRFwQUCgXIkgTTNCNZGp176ThOUzqBp/r3gEYn6wYXDcuo1+upm1NM04TtOE3zI1VVxfT0NGRZxtLSEpaWlwee8jRoQVOlHiymZTUtxzvVFmIMKR0TUFVTW/T5Xly4cAH5YrHvfK/reZFtdEKrPjAIaQogZEWJyd1MSe4h/Z4KbPB3FwRBgEaXfDqrYbBtrvmepLgmXMeJr68cle6qqornXnghxdlsfmTE3gd4nodGB0iA45Cn+UKTySHpUlXP5aAoSmRV22jE8zrbESTzog5o1LIeSLQ7tpsenIHZyLLXJMFsfwv5PBqGgbmFhZ5zXDsh2VSS/kV0wAltNU8+3v1lg6lVWtFJEdNvRFmpVHD12jUcOXy4r9f5vg/LNMFTH551FYY7NAnJtNkuaH2POyAIAoQcF5vjdYLjOLErZms+nbQQdifyIVQH3/50ouO1aMNcPpdDrV4HAXDshRcgb8Ixd4MgI/Y+wQsC1FIpdnjM5XLQdR2u60babxqZ67oePU5TCsw8KwlGRGzJTwhZN8EXU6RjfOp4J9K5r+3AcRzGxsYwOjoK33Vx5+7dJrlcWnAYjNzZKDmPTl9i6PXOrNcLhJBoKHW77fRzDiEh+PDDD/HEoUNQ+uh6DHwfDdMEByCv64PdqJJk3oWEFUWJun7piL6OoPN52ypi2HHToqxtWbFpW7dCb8fVFyEdV0W+78MwDLiuC01Voet67PO/79ChNYKERxkZsQ8AQZIgF4sxAauqGg8Hbphm1O0XBKuKGULg0gi5E2lzQKR2ASX4IAAJw75TC6VSCbVqtWNDEyEk9sBJ40ldKBTiC2Zufj5SN/SBpHqn39SMpmngeR4N9r6l8B7pRyLXDmGXwmk/N9zPP/8csqJgx44dqV/j0xZ7AMjl822VTz2R8n1iUBUFAs9Ho+NaXhNitTO1U92BNRwZ9TqCMISq68jRKVkspdIaqQOdb9CkTdGdhGE0nIW+N4V8PhphSQhWVlYwtWUL9u/fn+p8HxVkxD4gZE2DnPA2FwQBhWIxNgqr1+twHCduEpFUFY1Go2MDUWv3JitOkT7TNK0ReyuZWlRlkcvlUhOtqqrYwvLuKyt95d3ZUTPHyr7IPZmSSWkStp4OWKCz+Vc/he5avY4vv/wSR44cSb1fZhfN0a7SgRprBrkRsPeY45otMmjxm51xEARrVg8sgnZsG6IsR1YGVCwQttxgB510xaSSrufFXupsJVCt1aAXCnjy8OFHxrUxLbJ3Yx1QCwUICaUDx3FQVRWFQgG8IETzK+msxfLICGRJQrVahWEYfY36YlF8SM3GutFLx1QMx8HzPNimCZnqxfsBy7sXWd59fj5V3r3pUmbk3ud+2di/kHnx9LPPPpFmgHU3EAAffvAB9u/fn3pKj+d5aDQa4GiL/cCkPmAKL1YiBQFcz4u6Wluj9yCIaktY7SBtUD28nstBZ66MNGXT+hmklaKy5xC6D9M0ASpW0DUtVlrZtg0/CLD/4EEUi8WBznszIyP2dUItlcC3kKRA1TG6psEPAtTqdfi+j/LoKCQ6wq5eq3V03+vpt0EnBMVRUWIbTBnT6lkNADYd16cNOBaM4ziMjo5ijM41TZN3X3MO3KpTX1rE1r6OM1BzUD8Ie5h/9cJXX34Jnuexe/fuVM93GanTJqLkDaWvWss6C++qLEMQxWhMYMsUolgRw/NwXTfyfXddyNRwLM2NKNXR0eDFY/vwPCiyjFIiSgeiAm3NMLB91y7MzMwMcLabHxmxrxM8z0MdGWnr3aEoCoqFAkQavXuuC57noShKPPGoU/TeNDi7DVh01CqZZEXHRosG3aczOjU2wX4dRJDP5zE5OQme43B3fr5rsbabkiTtl4/jeeSo3YCdooA7kBKHIuhQOE1Dsg3TxIVLl3Dk6NFU+3JdN1K/iOIaUr+nIJFjo6aqACFrCqlsrqtt2zDpkBWd5rmBDgFInyszgMokDSMaIM/zyOfz0eeegOd5qNVq2LZjBx5//PFHymO9H2TEPgQIggC9XF5L7rTYlBye67kuGo0GdF1Hjk5l6hq9YzVv3K3wmkzVFAoFVFq81l3HASFktUmGdRAOSPCKomB6ehqaomB5ZQULHSSRnS5uVhhMe/GLdJC143lNVsid0KSbTvy0/j9kxUb6E9DIFInnpzlOloJ5/PHHkU9hG8DUHIIgIN/BDnn4ZsQdQL9bbCqTk6hnMHlhnQYgiqoir+sQOxmkse9TjwamlhfBcRxUajV4vg9VVaO6FJ1pwOB5HparVWyZncWBAwceOY/1fpAR+5DAiyL0cnmtEx0lGFb40XM5WJaFpaUlEEJisy3LslCv19vnrek2eJ5PlSKYmJzE3NxcnJMO6eBpWVFigkreMAaFIAiYnJzESKkE23Fw686dNd2qvbbeT1pG0zRwAAxqZJVEsmAXEgKfeo2wNEJrU0xSqcH+zZRIvCA03wRayL8dYV25cgW+72NviqlIjm3Dtm2IVKfeV6Q+YBGyHdptR5HlKB3i+/B9P/LkbzQgiiKKhQJU6p3fzzY7gkqA64YByzQh0u5tjVofJBH4PlZWVjCzdSsOPIKDM/pFRuxDBC+K0MfG4ggoRoKYyyMjKBQKccHMMAyIohgZjAGo1+s9J9/0unimp6dx9+7dmJRsx4HveZAkaU30up60BTuWkZERTE1OQpYkLC8v4+7cHDx6g0oTtXEp7Qd4jos04WEIm65ACCEIqP4/TPxm59YP2E11Tc645bOIVxs8D3AcTNvGZ599hqPPPNPzs7FtG7bjxEPAe80CXbPfNo/3hYTGvd12JKpqqdVqkWNpGIKnpN7Vk7/PY0gSOkCdUjto333fx+LKCia3bsX+AwdSF6UfZWTEPmSInSJ3IE7NFEslqJoGSZJir2zWSceid1Zw7QTm19EOhXw+imxp7ttxHAiStOpvzdI2CUla05YGIA5FUTA9NYWRUgm+5+Hu7duo1et9XfC9SJFDNABbFEWYlgXH87pbMvTr60K12mvsBDoVsen7eObMGezZswelHuoM27bhOE58I+838u41aq4XOI6LDLvY+8VWLlROGwRBZDrmunFXsqqq0dDxHhbOaYujSUJncw3yuRzEDgXrMAyxvLKCiakpHDhwIFWaK0NG7BsCUZaRGx1FiPbkLktS1PFHi5lsGAKTcEmSBBCCer3etalpdZPcmv9v2bIFd+7ejVMxUksklIz+WMqCXfADT0LiOJRKJUxPT0NRFKysrETRe0ozLw4dBlMTAhIEUWQeBLFLoWmaXVUyhPqHp0UQBBGp93H+58+fhyLL2L9vX6z4aZcysywr6mug3b6p3uN1Kl1isM86DAF2Q0/c1EPaZFSv12E7DmRZhqZpUBQlHtaejNaZm2hqEALXcdYSej4PQRQRIurobt1mGIZYXF7G2MQEDmSyxr6QEfsGQZRl5EdGYue6JHiOi6exm4YBSZKQz+ejEXQ8D8/z4kYZFr27rttdGhn9J37Oli1bcPfu3XgOK59Skpa0NUiSfj/Lf0mSMDU1hbHRUQRBgDt37qBaqaRuaopVO/SmFIThahckPU/mjd8wzc4E2GfDTtBlalI73Lx5E7dv38azzz7btB/ScoM0TROu60bOimlJHesvnsZpN7qyYP9new/DEFaC0JlzKWsCCsIQnufF0XTTCMhUB5AgdMtqInSRzioAVov/SYSEYGl5GSOjo9h34EA8lCZDOmTEvoEQVRX66Ohaky+OgygIkc6d6nYJojQOI3i29CX04jAMA7V6HU4HgmfKDZ5GnBMTE6jQgb4E6KhiaIck8bAcPFPctCs+dkKhUMCW6WnomoZqvY67c3Nw0/jNUCLyabSYPBb2d0EUoet6nD5Icy7dd9nZI6YdjHod586dw/PPP98xTUFIZI3r0a5JPYVLIyPevhw1E0Vg9t6xG2PcMJTUpYchTFqsdxwHEiV0Zq3L3gPPdRGGIURR7K/QzgidrjhbCR1IdFa3FsFpamh5eRnFchn7DxzA2NhY+vciA4Bs0MaGQ1ZVYGQEZqUSS+k4WnhTVTWWvRUlKfLMphdSPp+H7/uwbTvqugxDBLQIKtLcp5yIepLgEN0kJicmMDc3h9LIyLo10kzKScKwWZvOluUJdUvymERRxMTkJBqNBiq0sFooFFAqldoeE7sJsrRME7En0kccAFmWEfg+HNeFIAhtB1GkXWmwwml8A0zchFvh+z7eO30ahw4e7BhJ+r4fzW+ls2NlWe55M2R7IuisDWfHlFT0xD0NhKx+Tm22HwYBbMeJfe6Zz3vrKoWlk5hpHbMJ6IWQdq6yG4IgitHUJ3bjI6tzTNnz2xWIl1dWkC8WsW//fkxMTKTYc4ZWZMR+DyDreqQHrlbjrj6eXjy5XA7VWg2O40BV1TWkyAjecZzY6dAyTdi2DYXmQmVZbksEW7ZswZ07d1Aul9d9DvHWE06UDKz7NX4kQfYg0WT7nK5DVVVUVlZQNwyYpomxsbFYtsaKd037aj2GNmoOVdMim1vLAi8IA089Yk1irG2eSxBQEwjBRx99hHK5jJ07d7bdlkuLjzydHcuOiUk7W43KGDmvkVgm/p5MoSRTT+zcOJ6Pt70mV92G0FVF6ZqeEwUBhutC6SFvBCGRg6nrIqDF/jWEzo6dnWPyhs1Fcwl4jkMQBKhUKlDyeezdtw9TU1Od95uhKzJiv0dQ6DK3UanE3aI8z0MURaiKAptOmmk34EEURYiiiDAM4bpu/NOgXhoyNRqTZbkpCp6emsKnn3wCJJzvBjVjYmh6ZRfZXNLqIFlELo+OQlFVVCoVzM3PI5fLoVQqNd8MOu0vue34EKJlfr1eh2maKOTza7aRJmpnY9V6SQq/unwZ9VoNr7722tponkRmZa7rRsoXXW/bkcyOO6T+/XEkz2oLWNXWx89vv5HV/HSb4w2CAI5tw6WEK8syVFnuSujJm0/ACvlt4Ps+PNeNbha0hqPQVWTr9ltXXgQJUzH6uTuOg0q1itGJCTy2Zw+2bNnS8Rgz9EZG7PcQoqqiMD4Os1qFn/A9UVQ1mphjmm3lXCxa42n6RlXV6KJ1HFi02cVaWIBMbYKZ3W0ul4OsKKhWqygWCtHGNqq5pVtUzCJ3+hpd16EqCiqVCmq1Gmq1Ggr5fHSMLKWT+A16/sycKiYy1h8gCNBzudg9U0+4bqZF6PurN9UOaZjl5WVcvHgRr7322pqVARsFFwYBZPoZRZuiRE23G1vx0hu7n3RNbF0FdQI7LhbJtzbzJAidQ9R0pChK13RcknwJAM/3wbpR43NkqRbPQ0ilobIkQZLltvpzZvzVei6ENK/ojEYDtuNg265d2L17d6Z+GQIyYr/H4EUR+bEx2PU6bKoz57nIFdI0TXi0kSiJ5EXAIAgCdF2HRlMRpmWhYRhYXFqKUji5HPKFAqYmJ7G0sIBZOpqtUwS83iYlsGMEldUlyIYH0NpPywsCRsrlKD1DCb5uGCgUCihSL/Jk1M/+HdIiZ0j9vhnBC4IAWZbjcXKKLDcRYFK/ncxls8jYD8PYboHVELgEKTmOg/dOncKRp5+GTlNrbPXj+37szaPretvZpk2fYTLdJghtu43X3CRZ/rxDnj6kChbXdeMahaIoUFpWccntNxmOtfzddV3wVNPPVojJVIum65AlqW2gkHx/16yeEufmuy4q1SpkVcXjBw9ix44dfc+FzdAeGbHfJ6iFAkRFQWN5GTyiZbJt22g0GigWi2svxmThLDEtnuM4SJKEkiShkM/Hvh6VahW1Wg26ruOLr77qeizDieG75+FbEVL1hqwomJyagu04qFKCNwwDxXwe+Xy+KZXBNO5M+tjasKOqapxvF2iaa3WH4ZpcNkNsJcC2Sbcb67zDEO+//z5mt2/HloSbIMdxcBwHtm3HKaGeU4NaboJAdJNuJfemNAzHIYwebH4PwzAa+k3b/9m2NFWFRBvS2oHnuK7mbGEYwnEcBL6PGnUK7ZZqSR4nh+6rDdZb4Ng2KrUaRsfHsefxx7N8+pCREft9hCjLKExOwlxZAWwbOV1HtVpFtVbDSLHYPj+bXMa2RsY0/ZLL5eIOP8d1YVsWLl++jHK5HBdbe6lk1pOLX5OHZ8eaOIewhchURYGaIPhKtYqaYaBYKCCfy8Xt+wCibTGSbnkPcrqOmmGgYVko5PNNDU+dzidWxIhi2/O+cOECCCE4dPBg4hQITNOMVUp6JyOvxPa6ER7P880Sx8RNK1kQJYTE+W3P90FAV3zUMbSTDj9Juu2OIwiCyAHU92HTQdGKonRNtcTHnlTpdDlH1tNRrdXgeh5md+7Enr17s27SDUBG7PcZPM9HqRnDAKpVFAoFGIaBSq0WRe5cG+uANkv6VsiyjLHRUeRzOdy9exd37tyBLMswDAOCKEKhkklJUSCJYtvuVWB9aZrkNgUadbJmmU5gBG9ZFiqM4Ot1lIpF5KjlcNxtysg98V4wX/N6vY5GoxHdFHrcoJJj31qfe/PmTVy/fh1fe/31+EYbBAEatOtV1bS2hlSM0NPeHNl58Gy+aMvrfN+H67rwPS/q1ETUCCanIV12TC3Hx2ad+omGOI7n4dHi7xgtdHc75lgN1eE8kyog3/extLICXdexb+9e7Ny5M7Pd3SBk7+oDAjWfhyjL4OjYOaPRiO19eSplS0MSrRGnLMvYu3cv3n7rLRw5ehQkCGDZNhzPg2nbkf5bFCOSlyRIohhL/oDVBqXWrsW+wUXTk8IEESRTSq3QNA2apsE0TVSqVazQNE07SSPH8035eFZ/MOmcTObL0mkV4gdBvM3kc+bm5nD27Fm88sorMcF5nhePN8zlch1VI/2udjgualoLEjYIQRDEefOQRu2SKMYRdLt9sAieA1UjJf4WMCJPpG44RDlzRZYjeSKJbHrZyq5544ni7+qBtz8fUEKnNxbTNFGt1zE2OYndu3dnqZcNRkbsDxBYakaQpLg7UKBKmBBIRfBc4qJmz83n85icmsK1a9dwYP9+5PL5uLGHmT7V63VwPB8bPiUJhKUYWkm+taOxG+LXJQqYyVRTSNbqr4GoGKnrOsxGI64bNCxrdfgGPQ568nF6ijXVWKYJ07Ii6WFCkZJEEARQWnoBlpaW8P777+P48eMolUpR+71lwff9eFWwxj9lADKPj4Xl9Unkxmk7TlOKSBVFiJ3y5hwHHs03XoIon+16Xkzk7L3nBQGKosQy2uRxNxoNuK67RqrJvkvdcvPseYzQQSWdLPWyY9cuPLZ7d5Z6uQfIiP0BA0vNcJKE8PbtuDCnKAoI9UzpRfBJ0iWEQBJF7Nq5E+//7Gd4fO9eCIIQteSztnzfh+N5cGkTlG3bcBBFcgKNkEVRhEj/HY+OS+w/TTRPgFi7vea8k3noNkVXPZeDnsthfmEB9VoNy8vLqFWrKJZK0OnovNaipyLLIGzyj2VFLf0JNcvqgVGFCH19tVLBqVOncOzYMYyNjcUFUiAq0CabdgZNuXB0v4QQ+In8tksHifAc17UI2rq/kOrO2Y8fBHEdg+O4mMS7FVUD2sjE05t7HCS0vK9tzwtrCb1hmqhUKigUi9h/6BC2b9+epV7uEbJ3+QFFrlgELwiYu34dpmlGFxv17EhD8LH6g6pmcrkcRstlXLt2DY899ljTc2OSp9JJ13XhJSK9IAjguS44no9JgafRPSN6QRCaIrxWomeFzjTWvEiQfGsnZZ7K7ERJQq1SwfLyMlY4Djk6kUqW5dUuxzCM8t80CuaA2HytFaIoAhwHo17HO+++iyNHjmB8fDzyJA8CiIIAVdNWiYmSXerzYcXFMIzfVzaukD1PEEVo9OazRnmSiMqZsVtAXx+EYVMxmuOo/FNV16TWusFxXTiuG6/W2GfQdYWItYRumiZqtRo8z8PM7CwOHDoUNaFluGfIiP0BhpbLYWbXLty6cgWGYcTjwgA0ETzHrQ6q6ETyqqpidvt2nD9/Hrsee6zj1HgW2QFoInlW9AyCAKxr0vf9pmiVEYogipHckJJ+J5lhLyRvWgQAwjC+eeRzOei6DtuyYDQa8Q+7iemaBoGqXFRNAyEEDr05qYrSFLWz4zZNE++8+y4OHDiA0bExGIYRfQ7Uwrbp/epBdiytEiaJnEbTbJ8ilSaKlHxZusqhHi0cxyFgg8uDICLyMGyyKuZ4HiLPQ1bV6AbL8305VBJEhdiQShAJlaD2NaCafh8sy0KtWkUQhhAFAc8+/zy2d7BdyLCxyIj9AYesqtj22GO4cflypO8uFJq8q9mSPqRRE4/VPHsSmqZhbGwMiqLg9q1b2LZ1a/T6REqhFUmSD2jkzgiKqShiNQUlsmRhjoGldJh1LFP69GNMxjTgPC2UEkLAc1ycgw+DIBrjZpqorKygUq1CU1XkcjlotBM0BJpSWyzqFkURjuPgnXfewc6dOzE+Pg6XeqezLt7kSqLt8dG/BS3ROHt/eLofWZYhiWLTZ8gcDQOalrFsG4Hvr7F85gUhGjQiyxBo7WNQczeu5bfrOLCoda/awYUyWbuJ/58g9JCOFRwfH8fhZ55BnnU7Z7jnyIj9IYCkKNj22GO4deVK1J2Zz0Ogczmb0h0kMUCBkicjeY7mbHfs3IlLFy9i69at8U0BLdtpF1kLNKqUFSV6Ds3p+r4fpwRam2rYdkkQwKPt6K2NOLwgQOA4cIIQqzl49m/6O7nN5E2rSU4piiiVSijR+asmnXbPmpX0XA45TYtUQZYVdVXSmxYhBG+//TampqZij5LWDtLW94TZGMdpEfpesPeANUjxPB85elLnzoAWNEPbjvPirdv1fR88zYezGofQYcJQWnR7JQHQsCx4vo9csdgUrScN1Fq/bw3TRL1SiSJ0UcTIyAhGRkexZ//+bCbpfUZG7A8JZEXBzK5duH31KuqGAV3XVz3b0ebCpSQfArHznyzLmJ6awueff46FxUVMjo+33VdSWcH+30psyYIcA/NQTxI+ST4/MbAh3h4hCAAQ113VRGM1RUCwOsSb53kEQQCXqnliRQe7eUU7isyuxsYwQvO9jUYD9VoN9Xo9zh2HNP9OAJw5cwaFYhE7d+6EoijQVDUaMuH70eQmSuAsl81WHmi5kfGCEK2YeB7gefiet6oiSUbe9HyS5M/zPHgu0vqzdNegiAu69P3oZYLmuC4s04RKexvilQk7zxY0TBP1ahV+GELkeYyOjiKn69DyeezZvz8rkD4AyD6BhwiKomD7nj24c+0aTEpS8WDfpNoiAQ6IL1BCc+2P7dqFixcuYPKVV7rur922SCJibiUMnuch8zyQ0HYHCaJnqo9ORJMkZy6xkmDpDFbIdegwaNYp2iTzY9FlwhqAKTxs20a9WoXn+1HdIN4xh+mpqchEzLKwRLXkMXnTGgZHiZutKBghtxp7MdLmWkib/a0babu0bpEG7LybCrStabgOMtLkNox6HV4YosCauZLyUQrWwWw1GvAJiQi9XI5kkQBKo6PYuWfPun3/MwwHGbE/ZBAEAVt37cLy4iKW5+ZQr9WQozNTYyQvziSo9HHr1q344vPPce36dWzfvj1V01Gc/khGqWiJ6tuQPksjsLSGoqqxgRbLIYe0IBiP4WOTmlonKNEiJ0t9cIloOGzZb6vtLSEEsqJEnjzUtuDa1asAx2GkWIwKqxwHVdPiwitPj5+nqZRkeokdT0zUiZTXoGDSx2T6qRN5r0mhJfXwfaDRaMAwDCiqGhmnUTCLaMuyYNt2bLMrShJGC4WY0AVJwuzOnShnU44eKGTE/hCC4ziMTUxAz+cxd/Mm6rUaNF1fvTBb1RstF3uhUMDTR4/iZ++/j5FyOW67b1d07XksyX+nIH1BEBDQJp84uiMJ+9mWY2Xa95j4qYuhJMvQVLXJeIy9vikNwf4MqtOmipMv5ucxPj6OQ9PTTYMwfM9D4PtQFQWKqkKUpLh5KZl+iVNGXSLiNU1cSdJnBJ14r0JC1lgHt0bfHf+WFonUjOu6WFleBi+KKI+MgNCuU2YFzfx9FFlGsVCAputNIxZHRkcxu2tXlnp5AMH1yL/1q1DLcI8RBAEW5+ZQX16GyPPQqJ9KW1DiY6qSc2fPYn5xEa+++mpzkRJoakAaPAZdC5/m4fuNLAHEZFir18FzXO8ORnqz8j0PlmUh8H3UDQOffPwxHqNt7aqqwqOyToGLRhbajgOHRqksx68oSuSFT822ho24ANvGwnfgbaK5XpK8CQVhiLm5OdiOg0KxCM/z4Nh29B5TSahOfXBapY+SJGHrjh1ZlH7/0fHSzIh9E4AQglqthuW5OQSOs6bdvS0o4f35j3+MsbExPPHEE23TCEye2FSgXOex+rQYOSgajQbCMEShRU7XahngeR5sy4JPLXkrlQo+/fRTPPPMMyiXy7BtG3ouB4HnYdKUgygIkbcMz8Ojrf0O/R0GAQjNnyuKEkX1VPO93twyQRRBp5n21BPJgmnL9jzqFzM/P49qtbo6O5fnoalqNASlZUTj6kESjIyPYzYz73pQkBH7owDHcbA4Pw+rWoUiSVCSqYoOqFQq+POf/hRPHz6MrTMzkZd6jw7RZKoD6J/sPaouGZTELMuC67qrg6S51a5WQgh8aovgh2FMwlevXsWVK1dw/PhxjIyMoE6HnGi6HpOf67owTRPMXyfu/qR/dyjJx0RPUxUEq7UE1ukpMRsGSWpKX7QDu9n5dOJRWnSKyGOLAmpPwLqIgyBASAjMRgMN04SuaRifmICmaVCpjLUTJEnCtsce6zi8O8N9QUbsjwrCMMTy8jLqy8vwHWd1LFoXor569So+PX8ex44dQ7FUgkCbgJoKdhSt0krWKIREVA90J3uWKw9aGnCakLx5tDzHtm1YloWRUinuRCWExD43YRiCpxGoKIr46OxZVCoVvPjii9BoF2q1UoksAqijIYPv+3HHaS6fb45MW4qxbLKQz7pCEy3+TVJIIO7IZZ47oiRFUkcAQeL9aEXT+5OUg9LHfarwYfv2fb+5MxWI9ysIQuSbY5rQNA2TU1M9byS8IGB8YgJTW7dmUfqDh4zYHzU4jhM5Ia6swLNtyJTg2w3LBiItt+v72Pf4410nAcWt+FzCBreNPC4uYraJ6hmxA4jJrFPxtB08z4NBx+gxQvdcN4qcqRumJMvwXBfvnT4NSZJw7Nix2A/Gc100DCPqjGyzzzAMYRgGwjCM+gXajWvrcpyx13kiUmb/Z41NsYqHSlHZ4+0QpiiW8tRKgPnoSLTBiWn9gzBEvVaD0WhAFEWUy+XuM1AFARMTE5jYsqX9+Wd4EJAR+6MK3/ejgdFLS3Atq8mfJAnP9/Fnb7yBXbt3Y3R0NOq83IAiYdx6T+dyMlJLC0IIbNtGpVKBLEmRLJHjINKhE6ywaRgGTp48iS1btuCJQ4dWDco4Dia1ph0pleC3RNdsRUJINGTZ9/24aNrRUqDPlFIQBFHB1rYRUL297/trLHE7DT+J/w/EPjOdbthA9Nk2Go1I6cJxKOTzHWeLCoKA0YkJTGWE/jAgI/ZHHUEQwDAMrMzPw034vEuSFH87lpaX8e677+Lw4cOxfLJjIW2diLs30ULubZpskhEwMyRrGAZydC4qa0Bi2718+TIuXryIgwcPrnGyBBAN7OB55PP5rgodgsjP3XHd6IZI9e3d0Dqqj20nORibSTeT0sn1FJM7Hguh3u7UR54ganKLm9oSxydmhP4wIiP2DBEIITHB24YRdYvSgRqCIGBubg5nzpzBoUOHokIZt+oLPtTjwNpIPTk2L6RFUCcxcIKZd0mShIZhRJ23+Xysn69UKjj70UfgBQFHjh6NVDNML04Jl+XX9VwOiqK0JfZkugmEwPU8mI0GCCGRGkbTmoqWbOXBCLxbG39IonmvnVJTw0IQBGg0GnEaCFzkjZPP55uOXRQEjE5OYmp6OiP0hw8ZsWdoBiEElmliiRJ8SOd+CjwP0zTxwYcfYsfsLGa2bkUQhpCp0+Ewo3dWPE0aagXULCykGnJBECAnpjkxGPU6QkJQLBYRBAE+++wzXLt+HYcOHsTOnTvbpjEIIXAcB5ZpolAqxd4zac4opM07ruOA47iudYiWHcevDzvcRNoVTQdFHKXTwSCg768kSVCpUyUQeQ+Vx8YwPjmZEfrDi4zYM3RGGIYwDQNGpQLLMGJ1ydlz51AoFLB7926EQRCnL+SWMXJpwBpwYgIPw0iOl0zBINLM80wqSFcR7WBZVjzZ6OzZsxgdHcXhp57qPHyZRtL1eh0gBIViEUCXFEiHQq7v+zBMEyQIou5XTeuqOGIyxDXXGU3NdCua9gvf99EwTYRBAEEUo/fa9+OB2xzHoVguY3RsDMVMtrgZkBF7hnQIwxBOo4FGrQajWsX7P/sZgiDA/v37IxMv34+14bE+m6lfCFkzJ5OlJZITftjKgOd5EEKiAqggQKSuiE2guejWL6JhGDh77hyMeh1HjhzpPBw50bofhiFq1WpUP6C67a657cRrmx+OCriO4wAAVE1r8llhYIXRbmgt3rL9tnaKtvrEJIdzB3T8n2PbUZespsFxHPi+j5yuozgygvLYGMpjY5lkcXMhI/YM/cP3PJi1Gk6+9RYWFxfx3HPPxaQWUK24Socit+qr48IgJXs22SceDpFIUfTTqBT4Pq5du4bz589jenoaBw4cQC6X6/j8pGdNMg3DVCTrKVoGYRjlsal/uq6qUaScgtCB9adhwiCIbzAcx8W1ErPRAAQB22ZnMbllS9SElWEzIiP2DIODEIJ3334bH3/4IQ4eOIBdO3asEnwQQBAEaLre10i2JNKQm2kYuHzlCq5du4Z8Po/DTz8NEBJZAKScel+v1SK5X8KKoCex99DWE0Q3DJOmQDi6mlFkuWn10g5dG7S6ICZ014199kVRjPxuZBnl0VFs37VrQzxtMjxQyIg9w/px9+5dnHznHdy8ehX79uzB7t27IQhCrFwRBAEqdUTsB0npYxIkCHDnzh1cvnoVlZUVbN++HTt37kSR5scbVGceD0qm0f8f/dEf4Y++/338zm//NiYmJgBEJFpvScMA3Yn90uef45//83+OX/ybfxM/93M/13SMhEQWw0mbYo8Og2ajASXqDNnu/RhE4uj7PlzHiWeiKrIMQRDgeh5UTUN5chLlcjmyQ8h80R8FdCT2LOGWITWmp6fxP37rW6hWqzh18iT+5Ec/ws6tW7H38ceh0bxuo9GIokjqfc6niOKZOoWlZ5LReaFQwM6dO3H8hRfWrAgEQYiMs9iQa5rrJwnvGJb7dx0Hn54/j6+++grXrl3D9Rs3YNs2nnvuOfyvv/IrABIWCoiIeu/evcjlcnj//ffxtW98I94mQ5NlMcdF56wokbKHErDnebFMMxnFpy2YhtTrxXGcuKlLUZTItdJ1oeZymNy2DWXaVLYRPQcZHj5kxJ6hb5RKJXzzL/5FvPb66zhz5gz+/K23MDE6ip3bt0OmboG2bcN2HIiCEGvP2xUifWoPUKvXUa1WsbyyEkfnr7zyShydtwMrBLqe1xSFsyIuU6MwX5c333wTX3z5JVRFwejoKG7fudOUCiH0tQwcgKNHj+Ldd96BRf1V0oClplRNi6N4m3qcCzwPsElMPB9NY0oM8YgOIdLwMy+akGrwRdphGoYhCqUSxqamUCwWN6yJLMPDi4zYMwwMVVVx4sQJvPjii/jkk09w6cKFaLZorQae41DI5aDT1IeuKNBzuchB0bLQMAzUqbQyn8shVyggp2nYtXMnpttE5+3AiM5rJfYWMHL81l/+yxgbH8fU1BQuXryI3/rf//ee+3jm6FG89dOf4uOPP8YLL7zQV058TRTvuhFhO068HbY1nqpbSBjCoasQ8DxUTUMun4eiaZAkCZIso1gqoVAodD3nDI82MmLPsG6IoogjR47gyJEjAFblgCsrK6hUKlhYWMDSwgLmbt2CpqrIaxq2btuGUqmEYqEAkdoaECBulEoLWZZh0SJuu7wyOxZJknDoiSf6PrcnnnwSsqLggw8+wPEXXujaVdoNAvXoCWQZOqKcf+B5cGnPQIDIhVHSdYwXiyiNjECjZM4sgdng6wwZeiEj9gxDB8dx0DQNmqZhZmYmfpylRJjs0KjXI1KzrMjaoJ13eY9xfYzYXdeF2qY5yaWOiq3+KGmhyDKeeOIJnDt3Li4QxyP3ehF8QgfPtPyu78N3XYSEQFIUFEdHsbVUiqJyOrgjS6tkWC8yYs9wzxAXERUFxWIR4xMT8eAKo16H3WjAdJxoJiohcaQq0EiVzR1t8mmheWrHddeQIiEEtmVBpBa2g+Lo0aP48IMP8NmFC3jyiSei/bekUhI7jRUvAeuy9X2EYQiBDj8pjo6iVC7H70XWNJRh2Mi+URnuGwRBgK7r0HUdIyMj8GjBkFkaGNUqzGo1Lh4KPB/5i9OGJ47jok5LWUbdMGA0GsjpeiSfDAKYpglJkqDr+mr6hM19pRE0G0oRR+BtnBmPPP00CICfvf8+Dh06tNr0RKLJR6BzXJN+NyFV0OTLZUyUy9BzuShHTu2Fs6g8w0YiI/YMDwRY52TSJ5xMT8OyLFiNRjxMg417C3wfYRAgoIXGIAhQqVSiNn+Ow0i5DMdxIMkywjCMZYcstRMyEmdFy0QHbLJ7lgBQVBUHDhzA+c8+g2EY8RxYLrGiUFQ19riRZRmyokDTNOi5XJYXz3DPkRF7hgcWHMfFET0DMxNLRsbs34uLi2jU67B9H3XHgazrkFQ1dpAkhEQRehjC9f2ocYjnYbluRNQcB47nox/6f4H619xZXITrutiycydk2hjU7ieLxDM8CMiIPcNDBY7qudvlpcvlMjzPww/++I/x3pkzmN21C9u3b2/Ss7OfWwsL+Oj8eezatw979u+Pibzdz9WrV/HGm2/iN37jN7Bly5b7cNYZMvSHjNgzbBqwdA4QzUVlaZF2kGUZhmEgCALke3jN/Mmf/AkIIfiFX/iFoR9zhgwbgSz5lyFDD/zgBz/Ali1bcOzYsft9KBkypEIWsWd4ZPD9738f3//+9wFEhmYAcOrUKfytv/W3AADj4+P4zne+0/SapaUlvPPOO/ilX/qlLH+e4aFBRuwZHhmcPXsW/+7f/bumxy5fvozLly8DAHbs2LGG2P/rf/2vCIIgS8NkeKiQpWIyPDL4Z//sn7UtpLKfq1evrnnND37wA+TzeXzta1+79wecIcOAyIg9Q4YOsG0bP/rRj/DNb34zM9zK8FAhI/YMGTrg3Llz2LNnD/7G3/gb9/tQMmToC1mOPUOGDnj++edx9uzZ+30YGTL0jYzYM2w6vPbaawCAkZGR+3ocGTLcL2QzTzNkyJDh4URH/W2WY8+QIUOGTYaM2DNkyJBhkyEj9gwZMmTYZMiIPUOGDBk2GTJiz5AhQ4ZNhozYM2TIkGGTISP2DBkyZNhkyIg9Q4YMGTYZMmLPkCFDhk2GjNgzZMiQYZMhI/YMGTJk2GTIiD1DhgwZNhkyYs+QIUOGTYaM2DNkyJBhkyEj9gwZMmTYZMiIPUOGDBk2GTJiz5AhQ4ZNhozYM2TIkGGTISP2DBkyZNhkyIg9Q4YMGTYZMmLPkCFDhk2GjNgzZMiQYZMhI/YMGTJk2GTIiD1DhgwZNhkyYs+QIUOGTYaM2DNkyJBhkyEj9gwZMmTYZBB7/J27J0eRIUOGDBmGhixiz5AhQ4ZNhozYM2TIkGGTISP2DBkyZNhkyIg9Q4YMGTYZMmLPkCFDhk2GjNgzZMiQYZPh/weVqUpvLrFyaQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_vector([0,1,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Viualizing a Multiqubit State\n",
    "\n",
    "Just like a single qubit state, you can plot a multi qubit state as well. As an example let's again consider our first Bell state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_city(bell_0)\n",
    "# to understand why the 'city' looks like this consider the density matrix of this state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_hinton(bell_0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_qsphere(bell_0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_paulivec(bell_0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_multivector(bell_0)\n",
    "# here, the bloch spheres represent maximally entangled qubits as zero-length vectors. Hence, no arrows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# a more informative example\n",
    "psi = Statevector.from_label('+1')\n",
    "plot_bloch_multivector(psi)\n",
    "# the first qubit is in state |1>\n",
    "# the second qubit is in the superposition of |0> and |1>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just like for plotting QuantumCircuit, there is a bunch of options to customize the rendering of your state visualization. Take a look at [this](https://qiskit.org/documentation/tutorials/circuits/2_plotting_data_in_qiskit.html) Qiskit chapter for more details."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Density matrix\n",
    "\n",
    "For a pure state $|\\phi\\rangle$ the density matrix is constructed din the following way $\\rho = |\\phi\\rangle\\langle\\phi|$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "\\rho_{Bell_0} = \n",
       "\\begin{bmatrix}\n",
       "\\tfrac{1}{2} & 0 & 0 & \\tfrac{1}{2}  \\\\\n",
       " 0 & 0 & 0 & 0  \\\\\n",
       " 0 & 0 & 0 & 0  \\\\\n",
       " \\tfrac{1}{2} & 0 & 0 & \\tfrac{1}{2}  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rho = DensityMatrix.from_instruction(bell_0)\n",
    "rho.draw('latex', prefix='\\\\rho_{Bell_0} = ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_city(rho.data, title='Density Matrix')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "\\rho_{equal} = \n",
       "\\begin{bmatrix}\n",
       "\\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4}  \\\\\n",
       " \\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4}  \\\\\n",
       " \\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4}  \\\\\n",
       " \\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4} & \\tfrac{1}{4}  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# prepare a density matrix for the state of the equal superposition of 2 basis states\n",
    "my_qc = QuantumCircuit(2)\n",
    "my_qc.h([0,1])\n",
    "my_rho = DensityMatrix.from_instruction(my_qc)\n",
    "my_rho.draw('latex', prefix='\\\\rho_{equal} = ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "\\rho_{mixture} = \n",
       "\\begin{bmatrix}\n",
       "\\tfrac{1}{2} & 0  \\\\\n",
       " 0 & \\tfrac{1}{2}  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# prepare a density matrix for a mixed one-qubit state in an equal mixture of |0> and |1>\n",
    "\n",
    "### ADD CODE BELOW\n",
    "\n",
    "### DON'T ADD CODE BELOW"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Section A: Additional topics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Toffoli Gate\n",
    "\n",
    "CCX gate, also known as Toffoli gate. It is also known as the \"controlled-controlled-not\" gate. If the first two bits are both set to 1, it inverts the third bit, otherwise all bits stay the same."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 146.797x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qr = QuantumRegister(3, name='q')\n",
    "qc = QuantumCircuit(qr)\n",
    "qc.ccx(control_qubit1=qr[1], control_qubit2=qr[2], target_qubit=qr[0])\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "CCX = \n",
       "\\begin{bmatrix}\n",
       "1 & 0 & 0 & 0 & 0 & 0 & 0 & 0  \\\\\n",
       " 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0  \\\\\n",
       " 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0  \\\\\n",
       " 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0  \\\\\n",
       " 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0  \\\\\n",
       " 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0  \\\\\n",
       " 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1  \\\\\n",
       " 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Toffoli gate has the following matrix representation for the above configuration\n",
    "matrix = Operator(qc).data\n",
    "array_to_latex(matrix, prefix=\"CCX = \")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SWAP Gate\n",
    "\n",
    "The SWAP gate is two-qubit operation. Expressed in basis states, the SWAP gate swaps the state of the two qubits involved in the operation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 146.652x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qr = QuantumRegister(2, name='q')\n",
    "qc = QuantumCircuit(qr)\n",
    "qc.swap(qubit1=qr[0], qubit2=[1])\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "SWAP = \n",
       "\\begin{bmatrix}\n",
       "1 & 0 & 0 & 0  \\\\\n",
       " 0 & 0 & 1 & 0  \\\\\n",
       " 0 & 1 & 0 & 0  \\\\\n",
       " 0 & 0 & 0 & 1  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# SWAP gate has the following matrix representation for the above configuration\n",
    "matrix = Operator(qc).data\n",
    "\n",
    "# display the matrix in latex\n",
    "array_to_latex(matrix, prefix=\"SWAP = \")"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "08c9c49d27e68bdd458820e26d3758366881487861c502456df1e241cab4de5a"
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  "kernelspec": {
   "display_name": "Python 3.8.8 ('base')",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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