


"""simple docstring"""
from __future__ import annotations






def 		lowercase							(     _snake_case						:      int = 4     )     ->list[list[int]]:
	"""simple docstring"""





	__snake_case	:						str						=				abs(_snake_case     ) or 4
	return [[1 + x + y * row_size for x in range(_snake_case     )] for y in range(_snake_case     )]






def 		lowercase							(     _snake_case						:      list[list[int]]     )     ->list[list[int]]:
	"""simple docstring"""





	return reverse_row(transpose(_snake_case     )     )
	# OR.. transpose(reverse_column(matrix))






def 		lowercase							(     _snake_case						:      list[list[int]]     )     ->list[list[int]]:
	"""simple docstring"""





	return reverse_row(reverse_column(_snake_case     )     )
	# OR.. reverse_column(reverse_row(matrix))






def 		lowercase							(     _snake_case						:      list[list[int]]     )     ->list[list[int]]:
	"""simple docstring"""





	return reverse_column(transpose(_snake_case     )     )
	# OR.. transpose(reverse_row(matrix))






def 		lowercase							(     _snake_case						:      list[list[int]]     )     ->list[list[int]]:
	"""simple docstring"""





	__snake_case	:						List[Any]						=				[list(_snake_case     ) for x in zip(*_snake_case     )]
	return matrix






def 		lowercase							(     _snake_case						:      list[list[int]]     )     ->list[list[int]]:
	"""simple docstring"""





	__snake_case	:						List[Any]						=				matrix[::-1]
	return matrix






def 		lowercase							(     _snake_case						:      list[list[int]]     )     ->list[list[int]]:
	"""simple docstring"""





	__snake_case	:						str						=				[x[::-1] for x in matrix]
	return matrix






def 		lowercase							(     _snake_case						:      list[list[int]]     )     ->None:
	"""simple docstring"""





	for i in matrix:
		print(*_snake_case     )


if __name__ == "__main__":
			SCREAMING_SNAKE_CASE :    Any									=				make_matrix()
			print("""\norigin:\n""")
			print_matrix(matrix)
			print("""\nrotate 90 counterclockwise:\n""")
			print_matrix(rotate_aa(matrix))

			SCREAMING_SNAKE_CASE :    List[str]									=				make_matrix()
			print("""\norigin:\n""")
			print_matrix(matrix)
			print("""\nrotate 180:\n""")
			print_matrix(rotate_aaa(matrix))

			SCREAMING_SNAKE_CASE :    Optional[int]									=				make_matrix()
			print("""\norigin:\n""")
			print_matrix(matrix)
			print("""\nrotate 270 counterclockwise:\n""")
			print_matrix(rotate_aaa(matrix))











import math

def      A      (      _SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE    )	-> float:
       if (
           not isinstance(_SCREAMING_SNAKE_CASE ,(int, float)    )
           or power_factor < -1
           or power_factor > 1
       ):
              raise ValueError("power_factor must be a valid float value between -1 and 1."    )
       return apparent_power * power_factor

def      A      (      _SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE    )	-> float:
       if (
           not isinstance(_SCREAMING_SNAKE_CASE ,(int, float)    )
           or power_factor < -1
           or power_factor > 1
       ):
              raise ValueError("power_factor must be a valid float value between -1 and 1."    )
       return apparent_power * math.sqrt(1 - power_factor**2    )


if __name__ == "__main__":
       import doctest

       doctest.testmod()






