




'''simple docstring'''


def 						snake_case_       (UpperCamelCase			:    list[list[int]]					,		UpperCamelCase			:    int					,		UpperCamelCase			:    int					,		UpperCamelCase			:    set ):





							'''simple docstring'''


							_a	,				_a      	=							len(UpperCamelCase ), len(grid[0] )
							if (
							    min(UpperCamelCase					,		UpperCamelCase ) < 0
							    or row == row_length
							    or col == col_length
							    or (row, col) in visit
							    or grid[row][col] == 1
							):
														return 0
							if row == row_length - 1 and col == col_length - 1:
														return 1

							visit.add((row, col) )

							_a      	=							0
							count += depth_first_search(UpperCamelCase					,		row + 1					,		UpperCamelCase					,		UpperCamelCase )
							count += depth_first_search(UpperCamelCase					,		row - 1					,		UpperCamelCase					,		UpperCamelCase )
							count += depth_first_search(UpperCamelCase					,		UpperCamelCase					,		col + 1					,		UpperCamelCase )
							count += depth_first_search(UpperCamelCase					,		UpperCamelCase					,		col - 1					,		UpperCamelCase )

							visit.remove((row, col) )
							return count


if __name__ == "__main__":
				import doctest

				doctest.testmod()







'''simple docstring'''


import qiskit
def 						snake_case_       (UpperCamelCase			:    int					,		UpperCamelCase			:    int ):





							'''simple docstring'''


							_a      	=							qiskit.Aer.get_backend('''aer_simulator''' )

							_a      	=							qiskit.QuantumCircuit(4					,		2 )
							# encode inputs in qubits 0 and 1
							if bita == 1:
														qc_ha.x(0 )
							if bita == 1:
														qc_ha.x(1 )
							qc_ha.barrier()

							# use cnots to write XOR of the inputs on qubit2
							qc_ha.cx(0					,		2 )
							qc_ha.cx(1					,		2 )

							# use ccx / toffoli gate to write AND of the inputs on qubit3
							qc_ha.ccx(0					,		1					,		3 )
							qc_ha.barrier()

							# extract outputs
							qc_ha.measure(2					,		0 )  # extract XOR value
							qc_ha.measure(3					,		1 )  # extract AND value

							# Execute the circuit on the qasm simulator
							_a      	=							qiskit.execute(UpperCamelCase					,		UpperCamelCase					,		shots=1000 )

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


if __name__ == "__main__":
				_snake_case : Tuple  				=						half_adder(1, 1)
				print(F'''Half Adder Output Qubit Counts: {counts}''')

