




import math

import numpy as np
import qiskit
from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute







def SCREAMING_SNAKE_CASE    (	lowercase_ = 3						)       ->	qiskit.result.counts.Counts:



       """simple docstring"""

       if isinstance(lowercase_			,    lowercase_						):
              raise TypeError('''number of qubits must be a integer.'''						)
       if number_of_qubits <= 0:
              raise ValueError('''number of qubits must be > 0.'''						)
       if math.floor(lowercase_						) != number_of_qubits:
              raise ValueError('''number of qubits must be exact integer.'''						)
       if number_of_qubits > 10:
              raise ValueError('''number of qubits too large to simulate(>10).'''						)

       A__							=   QuantumRegister(lowercase_			,    '''qr'''						)
       A__							=   ClassicalRegister(lowercase_			,    '''cr'''						)

       A__							=   QuantumCircuit(lowercase_			,    lowercase_						)

       A__							=   number_of_qubits

       for i in range(lowercase_						):
              quantum_circuit.h(number_of_qubits - i - 1						)
              counter -= 1
              for j in range(lowercase_						):
                     quantum_circuit.cp(np.pi / 2 ** (counter - j)			,    lowercase_			,    lowercase_						)

       for k in range(number_of_qubits // 2						):
              quantum_circuit.swap(lowercase_			,    number_of_qubits - k - 1						)

       # measure all the qubits
       quantum_circuit.measure(lowercase_			,    lowercase_						)
       # simulate with 10000 shots
       A__							=   Aer.get_backend('''qasm_simulator'''						)
       A__							=   execute(lowercase_			,    lowercase_			,    shots=10_000						)

       return job.result().get_counts(lowercase_						)


if __name__ == "__main__":
  print(
      F'''Total count for quantum fourier transform state is: \
    {quantum_fourier_transform(3)}'''
  )








def SCREAMING_SNAKE_CASE    (	lowercase_ = 50						)       ->	int:



       """simple docstring"""

       A__							=   [1] * (length + 1)

       for row_length in range(3			,    length + 1						):
              for block_length in range(3			,    row_length + 1						):
                     for block_start in range(row_length - block_length						):
                            ways_number[row_length] += ways_number[
                                row_length - block_start - block_length - 1
                            ]

                     ways_number[row_length] += 1

       return ways_number[length]


if __name__ == "__main__":
  print(F'''{solution() = }''')


