



def 							A			(  _UpperCAmelCase       :     Dict					)       ->				int:







   '''simple docstring'''
   _UpperCAmelCase	 =     [[0 for _ in range(_UpperCAmelCase					)] for _ in range(m + 1					)]
   for i in range(m + 1					):
      _UpperCAmelCase	 =     1

   for n in range(m + 1					):
      for k in range(1							,     _UpperCAmelCase					):
         memo[n][k] += memo[n][k - 1]
         if n - k > 0:
            memo[n][k] += memo[n - k - 1][k]

   return memo[m][m - 1]


if __name__ == "__main__":
       import sys

       if len(sys.argv) == 1:
              try:
                     UpperCAmelCase__     = int(input("Enter a number: ").strip())
                     print(partition(n))
              except ValueError:
                     print("Please enter a number.")
       else:
              try:
                     UpperCAmelCase__     = int(sys.argv[1])
                     print(partition(n))
              except ValueError:
                     print("Please pass a number.")





import qiskit





def 							A			(  _UpperCAmelCase       :     int							,     _UpperCAmelCase       :     int					)       ->				qiskit.result.counts.Counts:







			'''simple docstring'''
			_UpperCAmelCase	 =     qiskit.Aer.get_backend('aer_simulator'					)

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

			# Apply X (NOT) Gate to Qubits 0 & 1
			circuit.x(0					)
			circuit.x(1					)

			# Map the quantum measurement to the classical bits
			circuit.measure([0, 1]							,     [0, 1]					)

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

			# Return the histogram data of the results of the experiment.
			return job.result().get_counts(_UpperCAmelCase					)


if __name__ == "__main__":
							UpperCAmelCase__     = single_qubit_measure(2, 2)
							print(f"""Total count for various states are: {counts}""")
