



import qiskit





def 							A	(     _UpperCAmelCase				:   Tuple = 2    )				-> qiskit.result.counts.Counts:







			'''simple docstring'''
			_UpperCAmelCase		       =   qubits

			# Using Aer's simulator
			_UpperCAmelCase		       =   qiskit.Aer.get_backend('aer_simulator'    )

			# Creating a Quantum Circuit acting on the q register
			_UpperCAmelCase		       =   qiskit.QuantumCircuit(SCREAMING_SNAKE_CASE__							,   SCREAMING_SNAKE_CASE__    )

			# Adding a H gate on qubit 0 (now q0 in superposition)
			circuit.h(0    )

			for i in range(1							,   SCREAMING_SNAKE_CASE__    ):
						# Adding CX (CNOT) gate
						circuit.cx(i - 1							,   SCREAMING_SNAKE_CASE__    )

			# Mapping the quantum measurement to the classical bits
			circuit.measure(list(range(SCREAMING_SNAKE_CASE__    )    )							,   list(range(SCREAMING_SNAKE_CASE__    )    )    )

			# Now measuring any one qubit would affect other qubits to collapse
			# their super position and have same state as the measured one.

			# Executing the circuit on the simulator
			_UpperCAmelCase		       =   qiskit.execute(SCREAMING_SNAKE_CASE__							,   SCREAMING_SNAKE_CASE__							,   shots=1_000    )

			return job.result().get_counts(SCREAMING_SNAKE_CASE__    )


if __name__ == "__main__":
							print(f"""Total count for various states are: {quantum_entanglement(3)}""")


from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass

@dataclass
class __snake_case		:
    _a		:						int
    _a		:						TreeNode | None=				None
    _a		:						TreeNode | None=				None






lowercase  :					Dict						    =							namedtuple("""CoinsDistribResult""", """moves excess""")







def 						_snake_case(  SCREAMING_SNAKE_CASE__				) ->    int:

       if root is None:
              return 0

       # Validation
       def count_nodes(SCREAMING_SNAKE_CASE__				) -> int:
              if node is None:
                     return 0

              return count_nodes(node.left				) + count_nodes(node.right				) + 1

       def count_coins(SCREAMING_SNAKE_CASE__				) -> int:
              if node is None:
                     return 0

              return count_coins(node.left				) + count_coins(node.right				) + node.data

       if count_nodes(SCREAMING_SNAKE_CASE__				) != count_coins(SCREAMING_SNAKE_CASE__				):
              raise ValueError("""The nodes number should be same as the number of coins"""				)

       # Main calculation
       def get_distrib(SCREAMING_SNAKE_CASE__				) -> CoinsDistribResult:

              if node is None:
                     return CoinsDistribResult(0					,	1				)

              lowercase	,			lowercase							:     int       	=      get_distrib(node.left				)
              lowercase	,			lowercase							:     List[Any]       	=      get_distrib(node.right				)

              lowercase							:     Optional[Any]       	=      1 - left_distrib_excess
              lowercase							:     Union[str, Any]       	=      1 - right_distrib_excess

              lowercase							:     List[Any]       	=      (
                  left_distrib_moves
                  + right_distrib_moves
                  + abs(SCREAMING_SNAKE_CASE__				)
                  + abs(SCREAMING_SNAKE_CASE__				)
              )
              lowercase							:     Any       	=      node.data - coins_to_left - coins_to_right

              return CoinsDistribResult(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				)

       return get_distrib(SCREAMING_SNAKE_CASE__				)[0]


if __name__ == "__main__":
  import doctest

  doctest.testmod()
