import json
import pennylane as qml
import pennylane.numpy as np
n_qubits = 9
dev = qml.device("default.qubit", wires=n_qubits)
error_dict = {0: 'PauliX', 1: 'PauliY', 2: 'PauliZ'}

def error(error_key, qubit):
"""Defines the error that is induced in the circuit.

Args:
error_key (int): An integer associated to the type of error (Pauli X, Y, or Z)
qubit (int): The qubit that the error occurs on.
"""
getattr(qml, error_dict[error_key])(qubit)

@qml.qnode(dev)
def shor(state, error_key, qubit):
"""A circuit defining Shor's code for error correction.

Args:
state (list(float)): The quantum state of the first qubit in the circuit.
error_key (int): An integer associated to the type of error (Pauli X, Y, or Z)
qubit (int): The qubit that the error occurs on.

Returns:
(list(float)): The expectation value of the Pauli Z operator on every qubit.
"""
qml.StatePrep(np.array(state), wires=0)

# Put your code here #

# These functions are responsible for testing the solution.
def run(test_case_input: str) -> str:
state, error_key, qubit = json.loads(test_case_input)
outs = [round(float(elem), 1) for elem in shor(state, error_key, qubit)]
output = [outs[i] for i in dev.wires]

return str(output)

def check(solution_output: str, expected_output: str) -> None:
solution_output = json.loads(solution_output)
expected_output = json.loads(expected_output)

assert np.allclose(solution_output, expected_output, rtol=1e-4), "Incorrect result for expectation values."

# These are the public test cases
test_cases = [
('[[0, 1], 0, 3]', '[-1.0, 1.0, 1.0, 1.0, -1.0, -1.0, 1.0, 1.0, 1.0]')
]
# This will run the public test cases locally
for i, (input_, expected_output) in enumerate(test_cases):
print(f"Running test case {i} with input '{input_}'...")

try:
output = run(input_)

except Exception as exc:
print(f"Runtime Error. {exc}")

else:
if message := check(output, expected_output):
print(f"Wrong Answer. Have: '{output}'. Want: '{expected_output}'.")

else:
print("Correct!")

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