



'''simple docstring'''
import math

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





def 	_a(					UpperCamelCase__			:  int = 3							):




      '''simple docstring'''






      if isinstance(UpperCamelCase__,		UpperCamelCase__							):
            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(UpperCamelCase__							) != number_of_qubits:
            raise ValueError('''number of qubits must be exact integer.'''							)
      if number_of_qubits > 1_0:
            raise ValueError('''number of qubits too large to simulate(>10).'''							)

      SCREAMING_SNAKE_CASE__       :			Dict													=QuantumRegister(UpperCamelCase__,		'''qr'''							)
      SCREAMING_SNAKE_CASE__       :			Optional[Any]													=ClassicalRegister(UpperCamelCase__,		'''cr'''							)

      SCREAMING_SNAKE_CASE__       :			List[str]													=QuantumCircuit(UpperCamelCase__,		UpperCamelCase__							)

      SCREAMING_SNAKE_CASE__       :			Optional[int]													=number_of_qubits

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

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

      # measure all the qubits
      quantum_circuit.measure(UpperCamelCase__,		UpperCamelCase__							)
      # simulate with 10000 shots
      SCREAMING_SNAKE_CASE__       :			Tuple													=Aer.get_backend('''qasm_simulator'''							)
      SCREAMING_SNAKE_CASE__       :			Any													=execute(UpperCamelCase__,		UpperCamelCase__,		shots=1_0_0_0_0							)

      return job.result().get_counts(UpperCamelCase__							)


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







'''simple docstring'''
from __future__ import annotations

import os
from collections.abc import Mapping

a_					=	tuple[int, int]






class        __SCREAMING_SNAKE_CASE :




 def __init__( self		:							Any   , __lowercase		:							set[int]   , __lowercase		:							Mapping[EdgeT, int] )		->  None:
       SCREAMING_SNAKE_CASE__       :			set[int]													=vertices
       SCREAMING_SNAKE_CASE__       :			dict[EdgeT, int]													={
           (min(__lowercase ), max(__lowercase )): weight for edge, weight in edges.items()
       }




 def        __magic_name__		( self		:							Union[str, Any]   , __lowercase		:							EdgeT   , __lowercase		:							int )		->  None:
       self.vertices.add(edge[0] )
       self.vertices.add(edge[1] )
       SCREAMING_SNAKE_CASE__       :			List[str]													=weight




 def        __magic_name__		( self		:							Optional[Any] )		->  Graph:
       SCREAMING_SNAKE_CASE__       :			Graph													=Graph({min(self.vertices )}   , {} )
       SCREAMING_SNAKE_CASE__       :			EdgeT
       SCREAMING_SNAKE_CASE__       :			int
       SCREAMING_SNAKE_CASE__       :			EdgeT
       SCREAMING_SNAKE_CASE__       :			int

       while len(subgraph.vertices ) < len(self.vertices ):
             SCREAMING_SNAKE_CASE__       :			Any													=max(self.edges.values() ) + 1
             for edge, weight in self.edges.items():
                   if (edge[0] in subgraph.vertices) ^ (edge[1] in subgraph.vertices):
                         if weight < min_weight:
                               SCREAMING_SNAKE_CASE__       :			List[str]													=edge
                               SCREAMING_SNAKE_CASE__       :			Any													=weight

             subgraph.add_edge(__lowercase   , __lowercase )

       return subgraph





def 	_a(					UpperCamelCase__			:  str = "p107_network.txt"							):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			str													=os.path.abspath(os.path.dirname(UpperCamelCase__							)							)
      SCREAMING_SNAKE_CASE__       :			str													=os.path.join(UpperCamelCase__,		UpperCamelCase__							)
      SCREAMING_SNAKE_CASE__       :			dict[EdgeT, int]													={}
      SCREAMING_SNAKE_CASE__       :			list[str]
      SCREAMING_SNAKE_CASE__       :			int
      SCREAMING_SNAKE_CASE__       :			int

      with open(UpperCamelCase__							) as f:
            SCREAMING_SNAKE_CASE__       :			Any													=f.read().strip().split('''\n'''							)

      SCREAMING_SNAKE_CASE__       :			Optional[Any]													=[line.split(''','''							) for line in data]

      for edgea in range(1,		len(UpperCamelCase__							)							):
            for edgea in range(UpperCamelCase__							):
                  if adjaceny_matrix[edgea][edgea] != "-":
                        SCREAMING_SNAKE_CASE__       :			List[Any]													=int(adjaceny_matrix[edgea][edgea]							)

      SCREAMING_SNAKE_CASE__       :			Graph													=Graph(set(range(len(UpperCamelCase__							)							)							),		UpperCamelCase__							)

      SCREAMING_SNAKE_CASE__       :			Graph													=graph.prims_algorithm()

      SCREAMING_SNAKE_CASE__       :			int													=sum(graph.edges.values()							)
      SCREAMING_SNAKE_CASE__       :			int													=sum(subgraph.edges.values()							)

      return initial_total - optimal_total


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