
def 						A_			(				snake_case				: list[list[int]]			)   ->     bool:



						'''simple docstring'''

						__UpperCamelCase  	=      [list(snake_case			) for row in matrix]
						if matrix and isinstance(snake_case			,   snake_case			):
												if isinstance(matrix[0]			,   snake_case			):
																		__UpperCamelCase  	=      0
																		for row in matrix:
																								if prev_len == 0:
																														__UpperCamelCase  	=      len(snake_case			)
																														__UpperCamelCase  	=      True
																								else:
																														__UpperCamelCase  	=      prev_len == len(snake_case			)
												else:
																		__UpperCamelCase  	=      True
						else:
												__UpperCamelCase  	=      False

						return result




def 						A_			(				snake_case				: list[list[int]]			)   ->     None:



						'''simple docstring'''

						if check_matrix(snake_case			) and len(snake_case			) > 0:
												__UpperCamelCase  	=      [list(snake_case			) for row in a]
												__UpperCamelCase  	=      len(snake_case			)
												if isinstance(a[0]			,   snake_case			):
																		__UpperCamelCase  	=      len(a[0]			)
												else:
																		for dat in a:
																								print(snake_case			)
																		return

												# horizotal printing increasing
												for i in range(0			,   snake_case			):
																		print(a[0][i]			)
												# vertical printing down
												for i in range(1			,   snake_case			):
																		print(a[i][mat_col - 1]			)
												# horizotal printing decreasing
												if mat_row > 1:
																		for i in range(mat_col - 2			,   -1			,   -1			):
																								print(a[mat_row - 1][i]			)
        # vertical printing up
												for i in range(mat_row - 2			,   0			,   -1			):
																		print(a[i][0]			)
												__UpperCamelCase  	=      [row[1 : mat_col - 1] for row in a[1 : mat_row - 1]]
												if len(snake_case			) > 0:
																		spiral_print_clockwise(snake_case			)
												else:
																		return
						else:
												print('''Not a valid matrix'''			)
												return




def 						A_			(				snake_case				: list[list]			)   ->     list[int]:



						'''simple docstring'''

						if matrix:
												return list(matrix.pop(0			)			) + spiral_traversal(list(zip(*snake_case			)			)[::-1]			)
						else:
												return []


# driver code
if __name__ == "__main__":
				import doctest

				doctest.testmod()

				lowercase__				:				Union[str, Any]						=      [[1, 2, 3, 4], [5, 6, 7, 8], [9, 1_0, 1_1, 1_2]]
				spiral_print_clockwise(a)






def 						A_			(				snake_case				: Union[str, Any]			,   snake_case				: Dict			)   ->     Dict:



						'''simple docstring'''

						__UpperCamelCase  	=      (boundary[1] - boundary[0]) / steps
						__UpperCamelCase  	=      boundary[0]
						__UpperCamelCase  	=      boundary[1]
						__UpperCamelCase  	=      make_points(snake_case			,   snake_case			,   snake_case			)
						__UpperCamelCase  	=      0.0
						y += (h / 3.0) * f(snake_case			)
						__UpperCamelCase  	=      2
						for i in x_i:
												y += (h / 3) * (4 - 2 * (cnt % 2)) * f(snake_case			)
												cnt += 1
						y += (h / 3.0) * f(snake_case			)
						return y




def 						A_			(				snake_case				: str			,   snake_case				: Optional[int]			,   snake_case				: Any			)   ->     Optional[int]:



						'''simple docstring'''

						__UpperCamelCase  	=      a + h
						while x < (b - h):
												yield x
												__UpperCamelCase  	=      x + h




def 						A_			(				snake_case				: Union[str, Any]			)   ->     str:  # enter your function here



						'''simple docstring'''

						__UpperCamelCase  	=      (x - 0) * (x - 0)
						return y




def 						A_			(				)   ->     Dict:



						'''simple docstring'''

						__UpperCamelCase  	=      0.0  # Lower bound of integration
						__UpperCamelCase  	=      1.0  # Upper bound of integration
						__UpperCamelCase  	=      10.0  # define number of steps or resolution
						__UpperCamelCase  	=      [a, b]  # define boundary of integration
						__UpperCamelCase  	=      method_a(snake_case			,   snake_case			)
						print(f"y = {y}"			)


if __name__ == "__main__":
				main()




