From 164467fc9faa424c1d317faf578f7fbb11ce42ef Mon Sep 17 00:00:00 2001 From: bubakazouba Date: Thu, 19 May 2022 00:12:02 -0700 Subject: [PATCH] adds solution for the 2022 april challenge --- .../AprilQuantumChallenge.ipynb | 429 ++++++++++++++++++ 1 file changed, 429 insertions(+) create mode 100644 challenge-2022.04-apr/bubakazouba-prekshan-isaac-gs-yujieli/AprilQuantumChallenge.ipynb diff --git a/challenge-2022.04-apr/bubakazouba-prekshan-isaac-gs-yujieli/AprilQuantumChallenge.ipynb b/challenge-2022.04-apr/bubakazouba-prekshan-isaac-gs-yujieli/AprilQuantumChallenge.ipynb new file mode 100644 index 0000000..4afa27e --- /dev/null +++ b/challenge-2022.04-apr/bubakazouba-prekshan-isaac-gs-yujieli/AprilQuantumChallenge.ipynb @@ -0,0 +1,429 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "8747d1c9-3f97-4033-9717-eb6fbe016110", + "metadata": {}, + "outputs": [], + "source": [ + "# Writeup for the solution: https://docs.google.com/document/d/18WvZjXNb6uousWPijxhgJu3tzbyaiOc5TfK5Sedw51Y/edit\n", + "import math\n", + "from collections import Counter\n", + "\n", + "from qiskit import IBMQ, BasicAer\n", + "from qiskit.utils import algorithm_globals, QuantumInstance\n", + "from qiskit.algorithms import QAOA, NumPyMinimumEigensolver\n", + "from qiskit.visualization import plot_histogram\n", + "import qiskit.quantum_info as qi\n", + "from qiskit.quantum_info import Statevector\n", + "from qiskit.providers.aer import AerSimulator\n", + "\n", + "import pandas as pd\n", + "from typing import List, Tuple\n", + "import numpy as np\n", + "from qiskit.providers.ibmq import least_busy\n", + "from qiskit import QuantumCircuit, execute\n", + "from qiskit_optimization import QuadraticProgram\n", + "from qiskit.circuit.quantumregister import QuantumRegister\n", + "from qiskit.circuit.classicalregister import ClassicalRegister\n", + "from qiskit.circuit.library import GroverOperator, ZGate\n", + "from qiskit.algorithms import AmplificationProblem\n", + "\n", + "from qiskit_optimization.translators import from_docplex_mp\n", + "from qiskit.circuit.library.arithmetic.adders.draper_qft_adder import DraperQFTAdder\n", + "from qiskit.algorithms import Grover\n", + "from qiskit import Aer\n", + "from qiskit.compiler import transpile, assemble\n", + "\n", + "# Loading your IBM Quantum account(s)\n", + "provider = IBMQ.load_account()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "13541c03-bd76-41f7-9b6c-87b57e1e97e1", + "metadata": {}, + "outputs": [], + "source": [ + "def apply_h_on_address_by_key(quantum_registers, search_key):\n", + " for reg in qregs:\n", + " if search_key in reg.name:\n", + " c.h(reg)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6ea5acda-2ce7-4c25-8476-a0aad0722df9", + "metadata": {}, + "outputs": [], + "source": [ + "# Localization and grid-handling code\n", + "\n", + "# def index_to_coordinate(idx, width):\n", + "# # height (top down, zero indexed)\n", + "# # width (left to right, zero indexed)\n", + "# return int(idx / width), idx % width\n", + "\n", + "# def is_path_dependency(top_buffer" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "37925a72-b61a-4186-a73f-4de9f748a1d0", + "metadata": {}, + "outputs": [], + "source": [ + "# Functions for a generalized form of Dicke State Preparation\n", + "# This will allow us to generate all possible permutations of the sequence [R,R,R,D,D,D]\n", + "# which are all the possible shortest paths of the maze.\n", + "\n", + "def targeted_ry(circuit, indices, params):\n", + " for idx in range(len(indices)):\n", + " circuit.ry(params[idx], indices[idx])\n", + " return circuit\n", + "\n", + "def targeted_cnot(circuit, index_pairs):\n", + " for target, control in index_pairs:\n", + " circuit.cnot(control, target)\n", + " return circuit\n", + "\n", + "def divide():\n", + " circuit = QuantumCircuit(6)\n", + " circuit = targeted_ry(circuit, [0, 2, 4], \\\n", + " [2*np.arccos(np.sqrt(1/20)), \\\n", + " np.arccos(np.sqrt(10/19)), \\\n", + " np.arccos(np.sqrt(1/10))])\n", + " \n", + " circuit = targeted_cnot(circuit, [(1, 0), (2, 1)])\n", + " circuit.ry(-np.arccos(np.sqrt(10/19)), 2)\n", + " circuit = targeted_cnot(circuit, [(3, 2), (4, 3)])\n", + " circuit.ry(-np.arccos(np.sqrt(1/10)), 4)\n", + " circuit.cnot(4, 5)\n", + " \n", + " circuit = targeted_cnot(circuit, [(2, 1), (1, 2), (2, 1)])\n", + " circuit = targeted_cnot(circuit, [(4, 3), (3, 4), (4, 3)])\n", + " circuit = targeted_cnot(circuit, [(3, 2), (2, 3), (3, 2)])\n", + " \n", + " circuit.x(0)\n", + " circuit.x(1)\n", + " circuit.x(2)\n", + " \n", + " return circuit\n", + "\n", + "def conquer():\n", + " circuit = QuantumCircuit(6)\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [np.pi / 2, np.pi / 2])\n", + " circuit = targeted_cnot(circuit, [(2, 1), (3, 4)])\n", + " circuit = targeted_ry(circuit, [1, 2, 3, 4], \\\n", + " [np.arccos(np.sqrt(2/3)), \\\n", + " np.arccos(np.sqrt(2/3)), \\\n", + " np.arccos(np.sqrt(2/3)), \\\n", + " np.arccos(np.sqrt(2/3))])\n", + " circuit = targeted_cnot(circuit, [(2, 1), (3, 4)])\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [-np.pi / 2, -np.pi / 2])\n", + " \n", + " circuit = targeted_cnot(circuit, [(0, 1), (5, 4)])\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [-0.5*np.arccos(np.sqrt(2/3)), \\\n", + " -0.5*np.arccos(np.sqrt(2/3))])\n", + " circuit = targeted_cnot(circuit, [(1, 2), (4, 3)])\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [0.5*np.arccos(np.sqrt(2/3)), \\\n", + " 0.5*np.arccos(np.sqrt(2/3))])\n", + " circuit = targeted_cnot(circuit, [(1, 0), (4, 5)])\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [-0.5*np.arccos(np.sqrt(2/3)), \\\n", + " -0.5*np.arccos(np.sqrt(2/3))])\n", + " circuit = targeted_cnot(circuit, [(1, 2), (4, 3)])\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [0.5*np.arccos(np.sqrt(2/3)), \\\n", + " 0.5*np.arccos(np.sqrt(2/3))])\n", + " circuit = targeted_cnot(circuit, [(0, 1), (5, 4)])\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [np.pi / 2, np.pi / 2])\n", + " circuit = targeted_cnot(circuit, [(2, 1), (3, 4)])\n", + " circuit = targeted_ry(circuit, [1, 2, 3, 4], \\\n", + " [np.arccos(np.sqrt(1/2)), \\\n", + " np.arccos(np.sqrt(1/2)), \\\n", + " np.arccos(np.sqrt(1/2)), \\\n", + " np.arccos(np.sqrt(1/2))])\n", + " circuit = targeted_cnot(circuit, [(2, 1), (3, 4)])\n", + " circuit = targeted_ry(circuit, [1, 4], \\\n", + " [-np.pi / 2, -np.pi / 2])\n", + " \n", + " return circuit" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7eaddace-578f-4d56-bf80-52e804b28eb5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def add(circuit, num_bits, qreg1, qreg2):\n", + " draper_circ = DraperQFTAdder(num_bits)\n", + " return circuit.compose(draper_circ, list(qreg1) + list(qreg2))\n", + "\n", + "def to_bin(val, num_bits):\n", + " bin_val = bin(val)[2:]\n", + " # do some padding\n", + " bin_val = \"0\"*(num_bits-len(bin_val))+bin_val\n", + " return bin_val\n", + "\n", + "def set_values(qc, num_bits, val, ctrl, qreg):\n", + " bin_val = to_bin(val, num_bits)\n", + " for j, bin_digit in enumerate(bin_val):\n", + " if bin_digit == \"1\":\n", + " qc.cx(ctrl,qreg[num_bits-j-1])\n", + " return qc\n", + "\n", + "# add 1 if dir_qubit = |R>, n if dir_qubit = |D>\n", + "def add_based_on_dir_qubit(num_bits, n):\n", + " idx_offset_qreg = QuantumRegister(num_bits, \"idx_offset\")\n", + " curr_idx_qreg = QuantumRegister(num_bits, \"curr_idx\")\n", + " dir_q = QuantumRegister(1)\n", + " qc = QuantumCircuit(idx_offset_qreg, curr_idx_qreg, dir_q)\n", + " \n", + " qc.cx(dir_q, idx_offset_qreg[0], ctrl_state=0) # R just sets it to 1\n", + " qc = set_values(qc, num_bits, n, dir_q, idx_offset_qreg) # D just sets it to n\n", + " \n", + " qc = add(qc, num_bits, idx_offset_qreg, curr_idx_qreg)\n", + " \n", + " # now we should unset\n", + " qc = set_values(qc, num_bits, n, dir_q, idx_offset_qreg) # D just sets it to n\n", + " qc.cx(dir_q, idx_offset_qreg[0], ctrl_state=0) # R just sets it to 1\n", + "\n", + " return qc\n", + "\n", + "def path_set_based_on_current_index(num_bits, n):\n", + " curr_idx_qreg = QuantumRegister(num_bits, \"curr_idx\")\n", + " path_grid_qreg = QuantumRegister(n*n, \"grid\")\n", + " qc = QuantumCircuit(curr_idx_qreg, path_grid_qreg)\n", + "\n", + " for i in range(1, n*n):\n", + " bin_val = to_bin(i, num_bits)\n", + " for j, bin_digit in enumerate(bin_val):\n", + " if bin_digit == \"0\":\n", + " qc.x(curr_idx_qreg[num_bits-j-1])\n", + " qc.mcx(curr_idx_qreg, path_grid_qreg[i])\n", + " for j, bin_digit in enumerate(bin_val):\n", + " if bin_digit == \"0\":\n", + " qc.x(curr_idx_qreg[num_bits-j-1])\n", + " return qc\n", + "\n", + "def path_unset(num_bits, n, curr_idx_qreg, path_grid_qreg, qc):\n", + " for i in range(1, n*n):\n", + " bin_val = to_bin(i, num_bits)\n", + " for j, bin_digit in enumerate(bin_val):\n", + " if bin_digit == \"1\":\n", + " qc.cx(path_grid_qreg[i], curr_idx_qreg[num_bits-j-1])\n", + " qc.barrier()\n", + "\n", + " \n", + "n = 4\n", + "# we subtract by 1 because 4=100, doesnt exist we just need 0,1,2,3\n", + "num_bits = len(bin(n*n - 1)) - 2\n", + "idx_offset_qreg = QuantumRegister(num_bits, \"idx_offset\")\n", + "curr_idx_qreg = QuantumRegister(num_bits, \"curr_idx\")\n", + "path_grid_qreg = QuantumRegister(n*n, \"grid\")\n", + "dir_seq_qreg = QuantumRegister(2*n-2, \"dir_seq\")\n", + "extra_grid_qreg = QuantumRegister(2, \"extra_grid\")\n", + "# note we will reuse the first 4 registers for the maze qubits\n", + "qregs = [dir_seq_qreg, idx_offset_qreg, curr_idx_qreg, extra_grid_qreg, path_grid_qreg]\n", + "\n", + "idx_offset_creg = ClassicalRegister(num_bits, \"midx_offset\")\n", + "curr_idx_creg = ClassicalRegister(num_bits, \"mcurr_idx\")\n", + "dir_seq_creg = ClassicalRegister(2*n-2, \"mdir_seq\")\n", + "# cregs = [dir_seq_creg, idx_offset_creg, curr_idx_creg]\n", + "cregs = [ClassicalRegister(n*n, \"m_path_grid\"), ClassicalRegister(n*n, \"m_maze_grid\"), ClassicalRegister(n*n, \"m_maze_grid_2\")]\n", + "qc = QuantumCircuit(*qregs, *cregs)\n", + "divide_gate = divide().to_gate()\n", + "divide_gate.label = \"divide\"\n", + "qc.append(divide_gate, list(dir_seq_qreg))\n", + "conquer_gate = conquer().to_gate()\n", + "conquer_gate.label = \"conquer\"\n", + "qc.append(conquer_gate, list(dir_seq_qreg))\n", + "qc.x(path_grid_qreg[0]) # always set to 1\n", + "\n", + "for dir_q in dir_seq_qreg:\n", + " # based on input direction, change the index offset\n", + " # R (i.e ctrl_state=0): should +1\n", + " # D (i.e ctrl_state=1): should +n\n", + " # [idx_offset_qreg, curr_idx_qreg, dir_q]\n", + " add_gate = add_based_on_dir_qubit(num_bits, n).to_gate()\n", + " add_gate.label = \"add\"\n", + " qc.append(add_gate, list(idx_offset_qreg)+list(curr_idx_qreg)+[dir_q])\n", + "\n", + " # path_set_based_on_current_index(num_bits, n, curr_idx_qreg, path_grid_qreg, qc)\n", + " path_set_gate = path_set_based_on_current_index(num_bits, n).to_gate()\n", + " path_set_gate.label = \"path_set_gate\"\n", + " qc.append(path_set_gate, list(curr_idx_qreg) + list(path_grid_qreg))\n", + "\n", + "qc.barrier()\n", + "qc.measure(range(16), range(32,32+16))\n", + "# reset so we can re-use, we don't care if the state collapses,\n", + "#. we are going to measure 1 state at the end anyways\n", + "qc.reset(range(16))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "16e3b217-f778-48f2-8945-1c8557ffde59", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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AgEYUkxYVHx/vek4kgNvX9GpfAAAAAABw9/HjNwDgwZYtW4yOAAAAAACApVFMAoAHycnJRkcAAAAAAMDSKCYBwIPc3FyjIwAAAAAAYGkUkwAAAAAAAAC8jmISAAAAAAAAgNdRTAKAByUlJUZHAAAAAADA0igmAcCD3bt3Gx0BAAAAAABLo5gEAA9WrVpldAQAAAAAACyNYhIAAAAAAACA11FMAgAAAAAAAPA6ikkA8GDz5s1GRwAAAAAAwNIoJgHAg4iICKMjAAAAAABgaRSTAOCB3W43OgIAAAAAAJZGMQkAAAAAAADA6ygmAQAAAAAAAHgdxSQAeBATE2N0BAAAAAAALI1iEgA8yM/PNzoCAAAAAACWRjEJAAAAAAAAwOsoJgEAAAAAAAB4HcUkAHiQmZlpdAQAAAAAACyNYhIAAAAAAACA11FMAoAH06ZNMzoCAAAAAACWRjEJAAAAAAAAwOsoJgEAAAAAAAB4HcUkAHgwf/58oyMAAAAAAGBpFJMA4MGCBQuMjgAAAAAAgKVRTAKAB+PGjTM6AgAAAAAAlkYxCQAeVFRUGB0BAAAAAABLo5gEAAAAAAAA4HUUkwDgwdChQ42OAAAAAACApVFM4mOdOnVKNptN2dnZLc49ceJEq+cCHd3evXuNjgAAAAAAgKVRTOJj9e/fX0eOHFFCQkKLc/Pz8yVJ0dHR7R0LaHcrV640OgIAAAAAAJbWyegA6LhqamoUEBCggICAVs3Pz8/XwIED1adPn3ZO1nbf3Biht9+74Pq7vr5ONbXXtPnbxxQ6cISBydDR7NmzR88884zRMQAAAAAAsCyumLS42tpapaWlKTg4WH5+fho9erQKCwsVEhKilJQU17zY2FglJSVpx44dGjZsmHx9fZWRkaHY2FhNnz7dbc36+nqtX79eISEh8vPz05gxY1RcXKz8/HyNHDnS26d4W3723SIdXHPVNZLGfUcP9B1KKQkAAAAAAOBlXDFpcbNmzVJWVpZSU1MVGxurw4cPKzExURcuXHCViHV1dSosLFRZWZlKS0u1dOlSBQYGKjQ0VIsXL9aUKVPc1pw9e7b27dunZcuWKSYmRnl5eZo8ebIuXryoqVOnGnCWbVNXV6vf5/9cj49fanQUAAAAAACATxyKSQvbvn27MjMzlZOTI7vdLklKSEjQsWPHdP78eVcxefr0aVVVVSkyMlJ5eXnq3LmzJKmoqEhVVVUaPny4a81du3Zp27ZtOnTokMaPHy9Jio+P18mTJ3X27NkOf8VkU4eLfqPKa+9rwsivGR0FHZDD4TA6AgAAAAAAlsat3Ba2bt06JSYmukrJRqGhoerSpYsiIiIkScePH5ckbdiwwVVKNt3etJhMS0vTxIkTXaVko/DwcElyFZNTpkxRVFSUhg8frocfflivvfZaq3M7HA45HA7ZbLY2D4cjt8Xj/PbPL8o+7Cvqfm/PVmfD3edw5N7Rd92WsXXr1hbHc8891+Icb+e+1Wh08+uOPsyY24yZm2Y1Y2YzfdZmzGzW3GbMbNbcZsxs1txmzGzW3GQmt1WHWT9jM+Y2Y2Zv5W7sdFqLYtKiSktLVVxcrEmTJjXbV1ZWpqioKFcJ6XQ6FRAQoLFjx7rNczqdGjBggPr27et6X3FxsWbMmNFszfLycg0aNMj1wze/+MUvdPLkSTmdTr344otKSkpSXV3d3T7NNrv0zlk53zykSaPmGR0FHdSBAweMjgAAAAAAgKVRTFpUeXm5JKlfv35u26urq5WXl+d2y7XT6VR0dLR8fNz/OTidTrerJcvKyiTJVVQ2qqys1MGDB93W7Nmzp+v1+++/L5vNpoaGhlZlt9vtstvtamhoaPOw2+M+9hi//fOLCuo/TOH3x7YqE9qP3R53R991W8bcuXNbHJJanOPt3LcajW5+3dGHGXObMXPTrGbMbKbP2oyZzZrbjJnNmtuMmc2a24yZzZqbzOS26jDrZ2zG3GbM7K3cjZ1Oa1FMWlTv3r0lSWfOnHHbnp6erkuXLrmViAUFBR6fDVlQUOBWTAYGBkq68ezJpjZu3KiKiopma8yfP19BQUFKSkrS3r171alTx3ik6fXaGr36119o0iNcLQkAAAAAAGCUjtEU4a4LCgpSVFSU1qxZox49emjIkCHKysrSzp07JUnR0dGSpHPnzunKlSsaMWKE2/s9bQ8KClJkZKTWrl0rf39/BQcH68CBA8rIyHBbs9GmTZsk3Xhm5NNPP6033nhD3bt3b7dzbq28U79WTe01fX7ELKOjoANbvXq10REAAAAAALA0rpi0KJvNpj179igqKkoLFy7UE088oYaGBiUnJyswMFBRUVGSbtyuLalZMdm4vekVkz4+PsrMzNTw4cO1aNEiPf7446qoqNCSJUsk6Za/yG232+Xj46PDhw/f9fNsi/iHHtf+H32ge7sYX5Ki4/L0LFUAAAAAAHD3cMWkhYWFhSknJ8f19+XLlxUTE6M5c+a4nieZlJTk9pyBRrfafvOajZYvX+56ffXqVb377rt64IEHJN0oOc+ePev65W7ADMLDw1VSUmJ0DAAAAAAALIti0qKOHj2q/fv3a9SoUeratasKCwv1/PPPq1evXkpNTW3XY1dWVuorX/mKrl69qk6dOsnPz087d+7U/fff367HBQAAAAAAgHlQTFpUZWWlsrOzlZ6erurqag0ePFgzZ85Uampquz/nsW/fvvrzn//crscAAAAAAACAuVFMWlR8fLzrOZEAbl9cXJzREQAAAAAAsDR+/AYAPNiyZYvREQAAAAAAsDSKSQDwIDk52egIAAAAAABYGsUkAHiQm5trdAQAAAAAACyNYhIAAAAAAACA11FMAgAAAAAAAPA6ikkA8KCkpMToCAAAAAAAWBrFJAB4sHv3bqMjAAAAAABgaRSTAODBqlWrjI4AAAAAAIClUUwCAAAAAAAA8DqKSQAAAAAAAABeRzEJAB5s3rzZ6AgAAAAAAFgaxSQAeBAREWF0BAAAAAAALI1iEgA8sNvtRkcAAAAAAMDSKCYBAAAAAAAAeB3FJAB4EBMTY3QEAAAAAAAsjWISADzIz883OgIAAAAAAJZGMQkAAAAAAADA6ygmAQAAAAAAAHgdxSQAeJCZmWl0BAAAAAAALI1iEgAAAAAAAIDXUUwCgAfTpk0zOgIAAAAAAJZGMQkAAAAAAADA6ygmAQAAAAAAAHgdxSQAeDB//nyjIwAAAAAAYGkUkwDgwYIFC4yOAAAAAACApVFMAoAH48aNMzoCAAAAAACWRjEJAB5UVFQYHQEAAAAAAEujmAQAAAAAAADgdRSTAODB0KFDjY4AAAAAAIClUUziY506dUo2m03Z2dktzj1x4kSr5wId3d69e42OAAAAAACApVFM4mP1799fR44cUUJCQotz8/PzJUnR0dHtHQtodytXrjQ6AgAAAAAAlkYxiVuqqalRQECAHnnkEfn6+rY4Pz8/XwMHDlSfPn28kK5t/vXBP/WjnV/RtB/21n+s9Nf3fjJeZy+dMDoWOqA9e/YYHQEAAAAAWqW68t+v3zkn1dcblwW4HRSTFldbW6u0tDQFBwfLz89Po0ePVmFhoUJCQpSSkuKaFxsbq6SkJO3YsUPDhg2Tr6+vMjIyFBsbq+nTp7utWV9fr/Xr1yskJER+fn4aM2aMiouLlZ+fr5EjR3r7FG9L+r4UffjRv/TS9/+m3SvfVtjAaK34+SQ1NDQYHQ0AAAAAgNtSd10qeVXKe/Hf2wp+LR3eKr19xrhcQGt1MjoA2tesWbOUlZWl1NRUxcbG6vDhw0pMTNSFCxdcJWJdXZ0KCwtVVlam0tJSLV26VIGBgQoNDdXixYs1ZcoUtzVnz56tffv2admyZYqJiVFeXp4mT56sixcvaurUqQacZetdeudNJY5ZoE919ZckPfbwN7TbsUEffPSuenQLNDgdAAAAAACtU18vnfiN9K8LzfdVX5UKD0oNDVK/z3g9GtBqFJMWtn37dmVmZionJ0d2u12SlJCQoGPHjun8+fOuYvL06dOqqqpSZGSk8vLy1LlzZ0lSUVGRqqqqNHz4cNeau3bt0rZt23To0CGNHz9ekhQfH6+TJ0/q7NmzHf6Kyelx39Oh4zs15rP/oa5dPqXf/mWrPjtkLKUkmnE4HEZHAAAAAIBbeudNz6VkU2cOSX1CJZ97vJMJuF3cym1h69atU2JioquUbBQaGqouXbooIiJCknT8+HFJ0oYNG1ylZNPtTYvJtLQ0TZw40VVKNgoPD5ekZsXk1q1bZbPZlJmZeZfO6s58dvAY1dfXafrqPvry8u46XPhrPT3tp0bHQgdUVFRkdAQAAAAAuKWyE5JsHz/nepX0zlmvxAHahGLSokpLS1VcXKxJkyY121dWVqaoqChXCel0OhUQEKCxY8e6zXM6nRowYID69u3rel9xcbFmzJjRbM3y8nINGjTI7Ydv/v73v+ull17SI488clvZHQ6HHA6HbDZbm4fDkdts3fr6en1/a4IG9g7Tb559X1lrPtJ/fn6ZvrP5c3rvw7dvKyPuHocj946+67aMrVu3tjhSUlJanOPt3LcajW5+3dGHGXObMXPTrGbMbKbP2oyZzZrbjJnNmtuMmc2a24yZzZqbzOS2yigpuCC14ucS/utbSwzP2tp/J2YZZszsrdyNnU5rUUxaVHl5uSSpX79+bturq6uVl5fndmWj0+lUdHS0fHzc/zk4nU63qyXLysokyVVUNqqsrNTBgwfd1qytrdXs2bO1ZcsWdenS5e6c1B36sOpf+ue/zitxzEJ187tPnTv56oux31R9Q72KLxwxOh4AAAAAAK12raayVT/keu36R15IA7QNxaRF9e7dW5J05oz7z3Clp6fr0qVLbiViQUGBx2dDFhQUuBWTgYE3nsN48y2uGzduVEVFhdsazz77rL7whS/ooYceuu3sdrtddrtdDQ0NbR52e1yzdXt0C9TA3mE6eGSzqmoqVVdXq1eO/lxV1R8qqH/UbefE3WG3x93Rd92WMXfu3BaHpBbneDv3rUajm1939GHG3GbM3DSrGTOb6bM2Y2az5jZjZrPmNmNms+Y2Y2az5iYzua0y7JOHul0Fdyv/m/U/hmdt7b8TswwzZvZW7sZOp7X48RuLCgoKUlRUlNasWaMePXpoyJAhysrK0s6dOyVJ0dHRkqRz587pypUrGjFihNv7PW0PCgpSZGSk1q5dK39/fwUHB+vAgQPKyMhwW/Mvf/mLcnJylJub64UzvT0//Ppv9NPffk9fXfOAauuv69MBIVrx1T3qHxBkdDR0MKtXrzY6AgAAAADc0sBh0sW/SvV1t57TO0Tq2tNrkYDbRjFpUTabTXv27NG8efO0cOFC+fv7a8aMGUpOTtamTZsUFXXjCkGn0ylJzYrJxu1Nr5j08fFRZmam5s2bp0WLFqlbt26aMGGClixZohUrVriumHz99dd19uxZBQcHS5L++c9/qri4WBcuXNDixYvb/dw/zgN9w/Wj2VmGZoA5eHqWKgAAAAB0FH73SVFTpJO/uamctElqkO7rJw19zJhsQGtRTFpYWFiYcnJyXH9fvnxZMTExmjNnjut5kklJSW6X8za61fab12y0fPly1+sf/OAH+sEPfuD6Oy4uTgsWLNC0adPu6HwAbwoPD1dJSYnRMQAAAADglgKHSI88JZUXSG//Taq7Lt3bUxoYJfUNl+6h9UEHxz9Rizp69Kj279+vUaNGqWvXriosLNTzzz+vXr16KTU11eh4AAAAAADgLujaUwqNuzEAs6GYtKjKykplZ2crPT1d1dXVGjx4sGbOnKnU1FR1797dq1k64rMmAQAAAAAAYCyKSYuKj493PScSwO2Li4szOgIAAAAAAJbmY3QAAOiItmzZYnQEAAAAAAAsjWISADxITk42OgIAAAAAAJZGMQkAHvBsVAAAAAAA2hfFJAAAAAAAAACvo5gEAAAAAAAA4HUUkwDgQUlJidERAAAAAACwNIpJAPBg9+7dRkcAAAAAAMDSKCYBwINVq1YZHQEAAAAAAEujmATa0fZXf6jvv5hgdAwAAAAAAIAOh2ISuEvWv/ykntvzTaNjSJIWb4nTrtd+5LXjfTVtsF47ttNrxwMAAAAAAOZHMQkAHmzevNnoCAAAAAAAWFonowMAHclX0wZrYsxsHfvbqzp7qUCD+nxG3566RQ8OitHxvx/SS79LVdk7f9M9Pp00POTzSpmSLv/uffSr19crx7lLkpRb8LIk6TfPvi9JalCDMn6Xqlf+8jNJ0qRRyfr6xNUtZnm94GXt+MNqvfN+mbp07qqYBx/T9x/fJkn6oPJd/fS339exv72qmtprGhYcrwVT/kf+n+qr/9m3QKfO/1ElF47o5df/nwJ7fFovff/Mxx6r5OJf9D+/TlHZO39TUP9hGhn2qH6f/3PtTH1LkvTrP/63so5s0TsflKv7vf76/PBZevKxH+ken3u04udf1uUrF/XjzG/qv389T0MfGK11c19VXV2tfpW7Xq/+9Re6cvWyHugboZTE/9aDg6Lb9N14W0REhNERAAAAAACwNIpJ4CZZf/6Jnn3qoIb0i9TeN36sZRlf1LYfnJVvpy5a8B//n0IGDNf7le/oRztnaPP+b2vZrF/qK/Hf14W3i3XPPZ20ePrP3NYrPPeGxkVN18srLulM2V/1nc2f08iwR/XZIWNumeFazUda98sntHbO7zU8ZLyqair1ZtlxSVJDQ4NWbZuigb0f1E8Xn9I993TWpt8sVNr/ztSGbx3Swv/4//TWP09pRGiCZiUsb/F8r1Zd0bKML+rx+B9o6ucW6a1/ntLyn09Sp3s6u+b07jFQa775O/XzH6yzlwq09GePqa//YE0a9S09O/ugvpo2WE9O/JESRn7V9Z5tr66S8++vae03X1Ef/wf06l9/odSfPaZfLPm7PtXV/3a/Fq+z2+0qKSkxOgYAAAAAAJbFrdzATb4Q8w2FDRypzp189ZX4JfLtfK/+UpKlzw4ZqwcHxeieezqp1339NCPu+yr4+6EW1xvYO0xfHjVP99zTSUMfeETBAx7S38r+2uL7Ot3TWaWXT+uDj/6le327KTLoc5Kkv5Ud09/Ljmnhf2xSt3t7yM+3q+Z8ab0K3sxRxZWy2z7fPxdn6V7f7ppu/6463dNZIZ8ersdiZrvN+VxUkvr3GiKbzaaQTw9Xwogn5Hzz1ufe0NCg3xxO15xJG9Q/IEj3+NyjLzz8DfW6r7/+UvLb284IAAAAAACshysmgZv07TXY9dpms6lPz/tVcaVMfys7pp//LlXnLp1Q9fWP1KAGVVVfbXG9Xp/q7/a3n283VVV/+LHv8fPtqjXfyFbmGz/WS68sU/9eQZpmX6zxw2fqn/86r+u11Zqxuq/be3w7+enylYvq3XNg609W0jsflKuP//2y2WyubX38H3Cbk+P8pfa+8WP941/nVFdfq9raGoU/8Mgt13y/8h1VVV/Vipe+LJv+vW5d3XW98/7tl6dGiImJMToCAAAAAACWRjEJ3OTtf73let3Q0OAq+9bselzjIqdpxRN71M3vPv25OEsrXvqya66Pz929AHlYcJyGBceprr5OR4oO6JkdSfrMoFj19X9Afr7d9OvV/7rlMX1src8SeN+ndfm9i2poaHCVk5evXHTtv3ylVOt++VWt+tqvFfOZL6hzJ1+9ePC7bld92m46Xo9ugfLz7ab1c1/Tg4PMWfDl5+cbHQEAAAAAAEvjVm7gJq/k/1x/Lzuu2rrr2p27QdU1Hyn2M1/SR9c+UDe/Hura5VO6/N5Fvfz6/3N7n/+n+umf755TfX39HWd478O39ceTe1VZ9b7u8blH3e/tKUny8blHYQOjFTRgmDbt/y99UPmuJOnK1Qq9/n8/utOYpfydN1t1rEeGTlJV9YfKfOPHqq27rjfLC/Rq/kuu/VXVV1XfUK8e3Xur0z2dVXzhz3rt+A63NXp9qp/K3/m762+bzab/GPttvZj1XZVV/N21Tv6Z3+ud9y+16TMBAAAAAADWwhWTwE2+FDtXm/b/141f5e79oH70jd+q27099HTSVr2YtVi7Dv1Ig/p8RgkjnlDRW4dd7/viw99Uwd8PKemHAWpoaNDe1e+2OUN9Q70O/GmTfpz5TdXV16p3j0H63le2qd//3Wa++sn9+sUrK5Ty3yP1wUfvqme3PhoRNkHxDz0uSUoa97Q2/uopTVnRU4E9Pq2ffbfolsfqfm9P/Wj2b/U/v5mv7a+uUvCAh/Ro9JNynNwtSXqgb7i+9uhqrfpFoq7X1eih4HjFP/SfOnupwLXGzM8v16bfLNRvDqcr/P5HlPbN3+nrj67Wvrx0rfpFot55v0x+vt0Ufv8jmj/lf9r8uQAAAAAAAOugmARu0j8gWC88uqrZ9tGfTdTozya6bZv6uW83eV+Q/ue//uK2/2uP/rDZOs8l57aYIeC+/towL+eW++/r2kv/NXWTpE0e9z84KEY//e6pFo/TaOjgUdqy6Ljr74zsperT89/PmXxiwko9MWHlLd8fG/5FxYZ/0W3bPfd00jT7dzTN/p1W5+hIMjMzjY4AAAAAAIClcSs3AP31zKt694N/qL6+XifPvaHf/mWr4of/p9GxAAAAAACAhXHFJGCQ/z2Upl/mpHncl/aN3yky6HN37Vjf3Biht9+70Gx7X/8H9LPvFumtf57S+pe/po+qP1DAfQM0w/49PTry63ft+GY0bdo0lZSUGB0DAAAAAADLopgEmtiZ+pbXjjXz86ma+flUrxzr454xKcnUt1wDAAAAAABz4lZuAAAAAAAAAF5HMQkAHsyfP9/oCAAAAAAAWBrFJAB4sGDBAqMjAAAAAABgaRSTAODBuHHjjI4AAAAAAIClUUwCgAcVFRVGRwAAAAAAwNIoJgEAAAAAAAB4HcUkAHgwdOhQoyMAAAAAAGBpFJMA4MHevXuNjgAAAAAAgKVRTOJjnTp1SjabTdnZ2S3OPXHiRKvnAh3dypUrjY4AAAAAAIClUUziY/Xv319HjhxRQkJCi3Pz8/MlSdHR0e0dC2h3e/bsMToCAAAAAACW1snoAOi4ampqFBAQoICAgFbNz8/P18CBA9WnT592TtZ2H1S+q58c/I7+eub3qq6tUuxnvqSF/7FJn+rqb3Q0AAAAAAA+EequS5cKpbIT/952Klu6f4R0Xz/jcsH7uGLS4mpra5WWlqbg4GD5+flp9OjRKiwsVEhIiFJSUlzzYmNjlZSUpB07dmjYsGHy9fVVRkaGYmNjNX36dLc16+vrtX79eoWEhMjPz09jxoxRcXGx8vPzNXLkSG+f4m1Z9/LXVFV9Vb9Y8nftWHpeH3z0rta9/ITRsQAAAAAA+ES4fk3668vSmRyp8t1/b/9niXR0p3TplHHZ4H1cMWlxs2bNUlZWllJTUxUbG6vDhw8rMTFRFy5ccJWIdXV1KiwsVFlZmUpLS7V06VIFBgYqNDRUixcv1pQpU9zWnD17tvbt26dly5YpJiZGeXl5mjx5si5evKipU6cacJatU1VTqfwzv9OWRU519fuUJOk/x6fquz+J0+X3LqqP//0GJ0RH4nA4jI4AAAAAAJZT8gfpw7c97Gi48T/Fv5c+1Vf6VG+vxoJBKCYtbPv27crMzFROTo7sdrskKSEhQceOHdP58+ddxeTp06dVVVWlyMhI5eXlqXPnzpKkoqIiVVVVafjw4a41d+3apW3btunQoUMaP368JCk+Pl4nT57U2bNnO/YVkw0Navi/8e9N9ZKkNy8VUEzCTVFRUYd+LAEAAAAAmM21D6XLZ1qY1CCVOaXwR70SCQbjVm4LW7dunRITE12lZKPQ0FB16dJFERERkqTjx49LkjZs2OAqJZtub1pMpqWlaeLEia5SslF4eLgkuYrJuLg4DRkyRA899JAeeugh/eAHP2h1bofDIYfDIZvN1ubhcOQ2W/feLt01LDhOO/7wQ12tuqIrVyv0y5w0SdJH1z5odT7cXQ5H7h19120ZW7dubXGkpKS0OMfbuW81Gt38uqMPM+Y2Y+amWc2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JO9alSxfjOpEAIPGbXQAAAACA/eDiNwBQgUyYMMHWEQAAAAAAsAjFJABUIHv27LF1BAAAAAAALEIxCQAAAAAAAMDqKCYBAAAAAAAAWB3FJABUIN99952tIwAAAAAAYBGKSQCoQD744ANbRwAAAAAAwCKOtg4AACg98+bN0/Dhw20dAwAAALC5sLCwEj/nTOolSZJfA2+T29Z4beB+RDEJAAAAAAAqnGXLlpX4OTNeWilJenH6eJPbAMoGp3IDAAAAAAAAsDqKSQCoQF5//XVbRwAAAAAAwCIUkwBQgQQHB9s6AgAAAAAAFqGYBIAKJCYmxtYRAAAAAACwCMUkAAAAAAAAAKujmAQAAAAAAABgdY62DgAAsEyzZs3Mjpk3b55F4wAAAAAAsDVmTAJABTJ//nxbRwAAAAAAwCIUkwAAAAAAAACsjmISAAAAAAAAgNVRTAIAAAAAAACwOopJAAAAAAAAAFZHMQkAAAAAAADA6igmAQAAAAAAAFgdxSTsypQpU+Tj4yNHR0eT/d98843atm2r4OBgBQcH6+LFizZKCMAa9uzZo+DgYAUEBOjxxx9Xdna2rSOZVdTXr/LswoUL6tatm4KCghQcHKznnnvO1pEs1rNnT4WFhSkkJERDhw7Vr7/+autIFps0aZJd/T1p1KiRgoODFRYWprCwMB05csTWkczKzMzUY489pqZNm6pZs2Z68803bR2pWFeuXDF+vmFhYapbt64GDx5s61gWWbdunUJDQxUWFqZOnTrp5MmTto5k1ooVK9SiRQsFBwdr4sSJdv1/zIwZMxQQEKDAwEBt3rzZRumKVlju1NRURUdHy83NTY8//rgN0xWusMzvvfeeWrZsqdDQUEVERGj37t02TFhQYZn37dtn/JoSHBys1157zYYJC1fc904///yz6tevX+7+jhSWec+ePapatarx87aXr9+AtVBMwq4MGzZM+/fvN9l39epVPfroo1q7dq2OHTumr776SjVr1rRRQgBlLScnR48//rg2bdqk77//Xr/++qvWrVtn61hmFfb1q7xzdHTUSy+9pO+++07JyclKTEzUxx9/bOtYFtm0aZNSUlJ05MgR+fj46M9//rOtI1nkyy+/1LVr12wdo8Q+/fRTpaSkKCUlRSEhIbaOY9bUqVMVHByskydP6rvvviv3PyTWqVPH+PmmpKSoRYsWGjZsmK1jmfXbb79pypQp2r17t1JSUvTwww9r9uzZto5VrGPHjmnp0qXau3evjh07JicnJ7333nu2jmVWYf/H/Otf/9JXX32lkydP6vPPP9cf//jHcvf1pbDcVatW1YsvvqhXXnnFRqmKV1jmxo0ba/fu3Tp8+LBWr16thx56SDk5OTZKWFBhmVu2bKn9+/crJSVF+/bt05IlS3Tu3DnbBCxCcd87TZs2TV27drVyIvOKyhwZGWn8Gr5lyxYbJAPKL4pJ2JWOHTuqbt26JvvWr1+vvn37KigoSJJUvXp1Va5c2RbxAFhBUlKS6tWrp+bNm0uSxo0bVy5ngdypsK9f5Z23t7ciIiIkSc7OzgoPD1dqaqqNU1mmevXqkm4X2b///rsMBoONE5mXlZWlGTNmaOnSpbaOUqFdvXpVW7du1dNPPy1JMhgMqlOnjo1TWe7ixYvav3+/Bg0aZOsoZuXk5Cg3N9dYhv3yyy/y9va2cariHT9+XJGRkcavIb169dL7779v41TmFfZ/zObNmzV69GhVqlRJ9evXV1RUlD777DMbJSxcYblr1qypDh06yNXV1UapildY5g4dOsjDw0OS1KJFC2VlZSkzM9MW8QpVWOYqVaoYZ/VlZWWVy5nBRX3v9PnnnysrK0vdunWzQari2eP3e4CtUUzC7p04cUJZWVnq3r27wsPDNW/ePOXm5to6FoAykpaWJl9fX+P9Bg0a6MKFCzZMdH/48ccf9dFHH6lHjx62jmKxwYMHq06dOjp58qSmTp1q6zhmLVy4UOPGjVPt2rVtHaXEHnjgAYWFhWnWrFm6efOmreMU68yZM/Ly8tLkyZPVqlUrDR48WOfPn7d1LItt2LBBgwYNUpUqVWwdxSx3d3f97W9/U4sWLVS/fn2tXbtWixYtsnWsYoWGhioxMVEXL15Udna2Nm3aZLf/x/D/pW1s3LhRISEhqlq1qq2jmHXkyBGFhISoQYMGmjZtmho1amTrSGZdv35dzz33nN39Eu/AgQMKDw9XdHS0Pv30U1vHAcoV+1nACCjCrVu39OWXX+rLL7+Uq6urBg4cqHXr1mnUqFG2jgYgn8/3Jevzr1MK7J/76uoCt4ObNNKD/bsUehxr/uLh16uZ+ts7H+n3GzdM9heW2alSJU14ZKA8a1W3Wr6ibP3XV9p/pOh13PLnbxcWpL5d2hV7vBs3bmjo0KGaMmWKmjVrVmo587vy35+04r2tunXHqW+FfdZVXF006dFBqupWfDGzZcsW3bhxQ+PGjVN8fLxGjx5dqplzc3O1YesunThj+oN+YZklqUdUa3VqG1rosQ4fPqxvvvlGf/rTn0o1Y2HOpf1Hqzd9ojv/JRWWu0ZVd016dJBcnJ2KPN6XX34pX19f47qNS5cuLfX1SHNycvTW+zuU9p8Ms5klaUivTgprHlDosW7duqWUlBS9/PLLWrFihd5++22NHTtWu3btKtXMknT05Fl9sGNPgf2F5fauXUvjH3pAlSoVP29g3bp1evnll0s1Z343b97S6+s+1g8/m67LWtRn/ejgngpoVL+IY93U66+/rqSkJAUFBWnu3LmaPn26VqxYUeq59x08pk8Svi2wv7DcAQ3radTgnoXOpG7atKmef/55DRgwQE5OTurRo4dSUlJKPa8k/Xb9d/3tnS269tvvZjM7GAwaP/IB1avjYfHxy+r/y8++SFLigaMF9heWOyzIX0N6R5dJjpL46Zereu3dj3Tj5i2T/YVldnZy1KRRg1SzesmLxeTkZM2YMUP/+te/7i3w//lw5xdK+e60yb6i/i12ighRj04RJTp+SEiIjhw5orNnz2rgwIEaMWLEPc8gv3j5v1q5Ybty7vj7V1hu9yqumvzoYFWpbPns2Pnz52v8+PGl+ku83NxcvfPhZzqdanqdgqI+676dI9UuvLnFx2/VqpXOnz+vatWq6dixY+rdu7e++OILNW7c+N7DAxUAMyZh93x9fdWzZ0/VqFHDWEweOHDA1rEA3KFT21DVrlldN27c1I0b/5tRdedtZ0dH9etadFHm6+trMuMjNTVVPj4+ZZK5WlU39YppYzbzjRs31bl9WLkoJSWpV6cIuVd2LZA7T97+am5V1D2qdbHHys7O1siRIxUWFlamsw7reNZUdGRLiz7rPp0jzZaSeZydnTVixIgyWc/JYDCof7cOcqzkYDZzXc+a6hDRoshj7d27V8ePH1fjxo3VqFEjZWdnq1GjRmVy0Z5GPnXVOqSp2c/65o2bGtgzqthSUpJxRlbehSq++uqrUs/s4OCgwT07Kjcnx+xn7d/AWy2D/Is8lo+Pjzw8PNS9e3dJ0ogRI8rs+4bgwEZq2tjX7GednZ2twb06mS0ljx8/royMjDJdV83JyVGDekTp5s1bZj/rsCD/IktJSUpJSVFubq5xuZ0RI0aUyd8PSYoMC1J9L0+zn7WDwaAB3aOKXd7hkUce0f79+7Vv3z6Fh4eX2S9kqlR2Vb8u7S36uhcV0aJEpaRUdv9fdukQrhpV3c3mruzirN6dI+/59UpDzepV1T2qtUWfdY+Ore+qlDx16pRiY2O1ceNGNWnSpFRy945pK1dnZ7OZa1ZzV+f2YXf9Oo0bN1bTpk21d+/ee4krSarn5akOrVtY9Fn379q+RKWkJH311VdauHChGjVqpGeeeUbvv/++xo8ff0+ZDQaDBvaIkqGQnHdm9qnrqbZhQSU6frVq1VStWjVJUnBwsKKionTw4MF7ygxUJBSTsHtDhgzR3r17lZWVpZycHO3atUvBwcG2jgXgDo6VKml4/y5yrFSp2HGxfaLlXqXodWIjIiKUlpam48ePS5JWrVqlIUOGlGrW/FoFN1FwYKNix/g1qKeoiPJzwQ8XF2cN69dZxa2q6GAwaHj/LnI2UzqNHz9eVatWtcpFCKLbhqphfa9ix7QM8i+2dJJuryF46dIlSbdn2m3durXM/l+o5l5Fg3t1KnaMk5OjhvfrokoORX/bNWHCBF28eFHnzp3TuXPnVKlSJZ07d874g0xp6xPTVrVr1Sh2TFSbEPk3qFfsmMzMTGN5mp2drc2bNys0tPBZofeqtkcN9TFTcrhVcdWQ3tHFlk5eXl4KDg42/lD4z3/+s8z+fhgMBg3q1VFV3Ysv0nt1aqO6tWuZPd67776rkSNHyqGYv0uloaFPXXVu17LYMR41qqlf1/bFjvHx8dHJkyeVnp4u6fZnnbc+cGlzcHDQsH6dzRbpA3tEqUY192LHXL58WZL066+/6qWXXtJTTz1VajnvFBzYSK1DAosd4+NdW13btyrxsYcMGaI1a9YoOztb6enpSkxMVM+ePe82qpGTo6MefKD4r2mSNKxvZ1Vxdbnn1ystkWFBaurnW+yYpn6+atuyZKWTdPu0+X79+umNN95Q+/bF/7soiSqVXTWsb0yxYyo5OOjBB7rKqZArVxfnzJkzunXr9gzSy5cv65tvvjH+EuFedevQSvXrehY7JiK0qZo3aVTiY3/55ZfG/yuXLl2qBx98UCtXrrzLpP9To5q7BvaIKnaMi7OThvXtLIcSrlt96dIl4wzm9PR07du3j59XgXwoJsuZ//73v5o/f36hp4x07tzZeBGC8sBgMGj+/Plmx40ePbrU1it58skn5ePjo+zsbPn4+GjSpEkKCAjQqFGjFB4ertDQUHl5eWns2LGl8noASpeXZ0317ty2yMfbtmymoICGxR6jUqVKeuuttzR06FD5+/vL3d29TJduMBgMGtIrWu5uhZelLs5OGt7P/DephX39KkuNfb0VHVl0sdClfbga1Cv+dK29e/fq7bff1v79+xUeHq6wsDAtX768tKMaOTg4FFuWVnN308CeHc0e5+rVqxowYIBCQ0MVGhqqW7dulemVgEOa+qlVi6Jnx/Tr0q7czKbN4+R0u1hwcCj8762XZ031im5j9jiXL19WdHS08bPOzc3VrFmzSjuuUbtWwWrSqOgZX0N6R1s0m/aNN97QpEmTFBoaqldeeUVvvfVWacY04VbZVUP7FF0sNPb1Vsc25n+xkZubq/Xr1+uRRx4pzXhF6hbVWvW8Cp+hZ/i/X2yYKwG9vb314osvqkePHmrZsqW2bdumJUuWlEVcSVKt6lX1QPcORT4e2syvyFP88xsxYoSaN2+uyMhIjR8/Xh06FH3M0vBAtw5FztBzcqykB/t1MTubtrD/Y3r06KF27dopMDBQnTt31p///OdSW/ewvpenuncsesZ9VOsWxc6mLS73b7/9Jh8fHz399NPasGGDfHx8tGfPnnvObDAYFNsnpsiytEplFw3tE2P2YmmFZV6wYIGuXLmi6dOnKywsTGFhYaV2hesmjX3UoXXRJVaPThFmZ9MWlvmLL75Qy5Yt1bJlS/Xq1Ut/+tOfSm12cKVKDnqwf1c5Ohb+y+ha1avqATO/2Cgqd1kKD26ikKZFn149oEeU2dm0hWXevHmzWrRoobCwMPXr169UP2ugImCNyXLmv//9rxYsWKBGjRopLCzM1nGKtW/fvjI7fbIob775ZqH7J02apPHjn5STE3+lgfKuQ+sWOvF9qr4/n26yv1aNqmZn3+Tp2rWrccakNbhVuV0srInfWeAxS2bfSEV//SpLPTpG6OSZC/pPxo8m+33q1lbXDuZn30RFRVn9YmIeNaqpf9f2+nDnFwUeG9av6B8o86tXr56SkpLKIl6RBnSP0pnUS/r512sm+5v6+SqyhKd8STLOYilLPnVrq1uH1vpn4n6T/ZUcHPRg/y4Wzb7x8/Mrs/X3CuNgMGho3xgtezte13/PMnmsdUiggi2cfdO8eXPt27evDBIWrqmfr9qFN9fXyaZft4y/2LBgBqTBYLDqRXocK1XSg/276q9rPtStO67W27ldS7Ozm/M8/vjjevzxx8siYqFatwjU8X+f1/F/nzPZX9W9igb17Gi2dJJuX/HXmlxdnDW8X2etXL+twNqvfTpHqrZHDbPHKOr/mCVLlpRZGRwT2VInTqfqfPplk/11PGqod0zRv4TMr6jcaWlp95yvMHmz3N/7uOAakIN7dTI7u1kqOvPf//73e85XlN4xkfr32TRl/PiLyf5GPnUVXcTaxfkVlbm0117Or45HDfWJidS2XabLNxik27/YcHE2ewxz3zuNHj26VN/D7VnunXQu7T+6mnnd5LHgwEZqFWz+FP2iMk+ePLlUMgIVETMmUWJZWbd/EGjXrp3Vi8nirI7/RPE7EmwdA4AZecWCa75vSA0Gg4b3Mz/7xpaa+TcoUDCFNG2scAu+SbUVR8dKGvFAV5OZNo6Ot0+pNzf7xpbahDZVUEADk30dWrcodqacrbkWcvp8FVcXxVow+8aWOrcPk6+36czZHp0iVM+r+FPwbKl6VTcNumPmbM3qVfVAt7Kd1Xav+naOlGdN05mzA7qbn31jS16eNQsUTPW8PNTNzNq0tmQwGDSkd6cCS4IM6xNT4rXsrKmwWe5NGvmoXavye7qng4ODhvfrIud8EwMcHG7Ppi3PkwVCmvkV+L+7VYsmCmnqZ6NE5jk7OerB/l1NZrk7OztpmIW/2LCV9q2DFdDQdOZsTLswNfKpa6NE5hU2y93drbKG9Cp+mRAAd6/8fhUrRfPnz5fBYNDRo0fVr18/ubu7y9vb23hFw08++UStWrVSlSpVFB4ersTERIuPvWbNGhkMBu3evVvDhw9XtWrVVL16dT366KP66aefTMb+7W9/U1RUlDw9PVWtWjW1bt1a7733nvHxc+fOGdf1GDNmjAwGgwwGg9asWWNynC+//FKRkZGqXLmyAgMD72pNjfPnz2vgwIFyc3OTh4eHnnjiCW3btk0Gg8HkVIm808c/++wztWnTRq6urlq4cKGkwk/l3rJli1q0aCEXFxcFBgaW6alR+Z1OvagzqZdUt4759ZkA2N6d6/jERLYs19+k5unbpZ08atxe86+qW2UN6tWp3H+TWrd2LfXq9L9Tcvt0jlQdC2bf2NLtYiFablVulwi1a9VQHwtn39iSf4N6isp3Su7gXp1UzYLZN7ZknB35fyVCw/peFs2+sbX8a40aJA3v19nklx3lkbOzk4b372Jc9iE4sFGxSwCUFx0iWsi/4e21RvNmUZpbK9jW3KtUVmyf/10Jul14cwWaWVuwPOjRMcK41mhlVxcN7RtT4rXsrM2j5u1Z7nm6RbWWT93Su1pyWRnYI0rVq7pJuv09yYDuxa8tWB74eJue7fBA1/bG70nKKweDQcPy/TLau45HsUsAlBdN7/hl9NA+McbvSQCUvvuimMwzbNgwde3aVR999JF69OihadOmacaMGXr22Wc1bdo0bdq0Sbm5uRo4cKCuXr1aomM/9thj8vLyUnx8vObPn68PP/xQAwYMUE5OjnHMuXPnNHr0aG3cuFGbN29W79699dhjjxmn/Xt7e2vjxo2SpNmzZ2vfvn3at2+f+vXrZzzGhQsX9MQTT+jJJ5/U1q1b1bp1az355JMlOuXk5s2b6tGjh77++mv95S9/0Xvvvafs7Owip5efP39e48eP1/jx47Vz504NGjSo0HE7d+5UbGys6tWrp02bNmnBggVasmSJdu3aZXG2u7Vr7wFVdausyLtYrBqAbYQ1D1BoMz+7+SZV+r/TLv+vWBjaJ0Zu5Xj2TX4d24Sosa+3mjSqr/blePZNflXdqmhIr2g5OBhMirPyrld0G3l51ry9TlWz8jv7Jj/PWtXVr0u7/xVn5Xj2TX4De3ZUNXc3RUe2VGNfb1vHsUiDenXUpX243N0qa7Ad/GJDyisWbhe/vWPaysuzpq0jWSQooKHatmwmz1rV1becXBnaHEfHSnrw/2a0D+rZ0ViclXdtWjZTM/8GalCvjjq3C7N1HIvcPn2+iwwGg4bZwS828nRpHy5f79oKCmioiNCmto5jkerV3DWoZ8f/W3fS/EUQy4t+XdrJo2Y1RYYFqZl/A/NPAHDXDLnWXjzKBubPn68FCxbojTfe0B/+8AdJt09H9vLy0m+//aZTp04ZL86ye/dudevWTfHx8YqNjTV77DVr1mjMmDF65JFH9O677xr3r127VqNHj9aOHTvUp0+fAs/LyclRTk6O/vCHP2j//v3G9ZlOnDihoKAgrV69usB6GZ07d9aXX36plJQUhYSEGN9HvXr1FBsba/HMybfeektPPPGEEhISFB39v98m9+vXTzt27NDnn3+uzp07G18zISFBX3/9tSIjTb+pMxgMmjdvnnHWZNu2bfXf//5Xp06dkuP/rUt1/vx5NWnSRPXq1bN4AegGfrf/kx355FSLxgMAAAAAAMD21r/5iiQp9cxJi8bbx6/ES0nfvn2Nt11cXOTn56egoCCTK0bnXR3rwoULJTr2iBEjTO4/+OCDMhgMSkj435qHKSkpGjx4sLy9veXo6CgnJyetWrVKJ09a9oclSQ0bNjSWknnvIzAwUKmpqRYfY9++fapTp45JKSlJw4cPL3S8t7d3gVLyTpmZmdq/f79iY2ONpWRe3rK+kiEAAAAAAADsj32cF1VKatUyXX/Q2dlZrq6uBfZJ0u+//16iY9eta7o2mqurq6pVq6YffvhBkpSenq6uXbuqSZMmevXVV9WgQQM5OzvrjTfe0Ntvv33X70G6XU6WJO/FixdVp06dAvu9vAq/uqK3t/nTo3766Sfl5uYW+Byk25+NpbMlJcmvwe3Xe3H6eLNjT6de1N83bFf/bu3VMSLE7HgAAAAAACqaGS/dPoPyxenjTW6XZ/aYWbLP3NbM/PUn60s0/r4qJsvSf/7zH5P7v//+u3799Vd5eHhIun2BnZ9++knx8fHy9f3f4ts3btywak5Jqlevng4ePFhg/+XLlwsdb8n6RzVr1pTBYCjwOUgFPxtzzqRekvS/fziW2L5rn7bv2lei1wEAAAAAoCLJ/3N0SX6mtiV7zCzZZ25rZM7rdCx1X53KXZbyLlqT5/3331dubq5iYmIkSb/99pskycnJyTjmhx9+0NatW02e5+LiIkm6fv16mWVt3769rly5oi+++MJk/wcffHDXx3Rzc1NERIQ2b96sW7duGfefP39eX3311V0fFwAAAAAAABUTMyZLSUJCgp566ik98MADOn78uGbPnq2OHTuqV69ekqTu3bvL0dFRjzzyiJ599ln9+OOP+tOf/qTatWvr119/NR7Hx8dH1apV04YNGxQcHKwqVaqocePGxpmXpeGxxx7TkiVLNHz4cP3pT3+Sr6+v3n//fR09elSS7vpqnAsXLlTfvn3Vt29fPfXUU7p27Zrmz59f5CniRbH0VO6VG7Yp44efNe3Jh+zmaq0AAAAAAJQ2Ti+2HnvMXZ5P5WbGZClZs2aNLl++rKFDh2revHkaMmSIPv74Y2PJ17x5c23cuFGXLl3SwIEDNXfuXE2YMEGPPPKIyXGcnJz01ltv6cqVK+rWrZvatGmjbdu2lWpWJycnffbZZ2rbtq2mTJlivHDPokWLJEk1atS4q+P27t1b8fHxSk9PV2xsrObOnatp06apW7dupRXd6HTqRZ1JvaSYdmGUkgAAAAAAAHbovmh05s+fr/nz5xfY//XXXxfY5+npqdzc3BK/Rp06dcyeCh0bG6vY2NhC8+U3bNgwDRs2rMC4PXv2FHrcovYXp1GjRgVOI58wYYLc3NzUtGlTi45d2Oc0ZMgQDRkyxGTfuHHjSpzPrFwpoGF9RbYMKv1jAwAAAAAAoMzdF8UkClq2bJlcXFwUGBio69ev65NPPtHKlSs1Y8YM4zqX5Zl/w3ryb1jP1jEAAAAAAABwlygmi5Cbm6vs7Oxix1SqVMlKaSyX/8IzhXFwcJCDg4NcXV3117/+Vef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+ "text/plain": [ + "
" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "maze = [0,0,0,0, 0.5,0.5,0.75,0.75, 0.75,0.75,0.5,0.5, 0,0,0,0]\n", + "\n", + "# set the maze based on the paths\n", + "for i in range(len(maze)):\n", + " if maze[i] == 0:\n", + " pass\n", + " elif maze[i] == 0.5:\n", + " qc.ch(i + 16, i)\n", + " elif maze[i] == 1:\n", + " qc.cx(i + 16, i)\n", + " else:\n", + " qc.crx(2*math.acos(math.sqrt(maze[i])), i + 16, i)\n", + "qc.barrier()\n", + "qc.measure(range(16, 32),range(0, 16)) # measure path here\n", + "qc.measure(range(0, 16),range(16, 32)) # measure maze here\n", + "\n", + "qc.draw('mpl')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "63eec216-15e5-46c7-af14-cbc6d0195f86", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Simulation failed and returned the following error message:\n", + "ERROR: a circuit requires more memory than max_memory_mb.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Result(backend_name='aer_simulator_extended_stabilizer', backend_version='0.10.4', qobj_id='470fd31e-edda-44dc-b943-72e2b8a91e1f', job_id='0d95fb29-2e0e-480c-ba34-f67144de0d08', success=False, results=[ExperimentResult(shots=0, success=False, meas_level=2, data=ExperimentResultData(), status=EMPTY, seed_simulator=0, metadata={}, time_taken=0.0)], date=2022-05-18T19:58:20.477626, status=ERROR: a circuit requires more memory than max_memory_mb., status=QobjHeader(backend_name='aer_simulator_extended_stabilizer', backend_version='0.10.4'), metadata={'mpi_rank': 0, 'time_taken': 0.024548842, 'max_gpu_memory_mb': 0, 'max_memory_mb': 0, 'time_taken_load_qobj': 0.023938524, 'parallel_experiments': 1, 'num_mpi_processes': 1, 'omp_enabled': True}, time_taken=0.02613997459411621)\n" + ] + } + ], + "source": [ + "backend = provider.backends.ibmq_qasm_simulator\n", + "shots = 1000\n", + "results = execute(qc, backend=backend, shots=shots).result()\n", + "answer = results.get_counts()\n", + "\n", + "most_common = Counter(answer).most_common()\n", + "most_common = [c for c in most_common if '1' not in c[0].split(' ')[0]] # make sure no 1's in maze (second part of measurement)\n", + "print(most_common)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3b232d37-ae53-49ae-8666-60eb0678d431", + "metadata": {}, + "outputs": [], + "source": [ + "output = [(x[0].split(' ')[1],x[1]) for x in most_common]\n", + "print(output)\n", + "pd_list = []\n", + "prob_total = 0\n", + "\n", + "for path, count in output:\n", + " probability_clear = 1\n", + " for location, prob_failure in list(zip(path, maze)):\n", + " if location == '1':\n", + " probability_clear = probability_clear * (1 - prob_failure)\n", + " prob_total += probability_clear\n", + "\n", + "for path, count in output:\n", + " result_dict = dict()\n", + " probability_clear = 1\n", + " for location, prob_failure in list(zip(path, maze)):\n", + " if location == '1':\n", + " probability_clear = probability_clear * (1 - prob_failure)\n", + " \n", + " result_dict['path'] = path\n", + " result_dict['prob'] = probability_clear / prob_total\n", + " result_dict['prob_quantum'] = 20 * count / shots\n", + " pd_list.append(result_dict)\n", + "\n", + "print(pd.DataFrame(pd_list))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6a9d697d-e801-4205-a0a5-f9a5552b6ccb", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}