




def     __SCREAMING_SNAKE_CASE      (     lowercase_					)				->		bool:

    """simple docstring"""


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

    return result




def     __SCREAMING_SNAKE_CASE      (     lowercase_					)				->		None:

    """simple docstring"""


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

        # horizotal printing increasing
        for i in range(0    ,   lowercase_					):
            print(a[0][i]					)
        # vertical printing down
        for i in range(1    ,   lowercase_					):
            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(lowercase_					) > 0:
            spiral_print_clockwise(lowercase_					)
        else:
            return
    else:
        print('''Not a valid matrix'''					)
        return




def     __SCREAMING_SNAKE_CASE      (     lowercase_					)				->		list[int]:

    """simple docstring"""


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


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

 doctest.testmod()

 a_      						=   [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]]
 spiral_print_clockwise(a)












def     __SCREAMING_SNAKE_CASE      (     lowercase_    ,   lowercase_					)				->		int:

    """simple docstring"""


    __UpperCamelCase     						=  1.0
    for i in range(1    ,   r + 1					):
        ret *= (n + 1 - i) / i
    return round(lowercase_					)




def     __SCREAMING_SNAKE_CASE      (     lowercase_					)				->		int:

    """simple docstring"""


    return choose(8 + n    ,   lowercase_					) + choose(9 + n    ,   lowercase_					) - 10




def     __SCREAMING_SNAKE_CASE      (     lowercase_					)				->		int:

    """simple docstring"""


    return sum(non_bouncy_exact(lowercase_					) for i in range(1    ,   n + 1					)					)




def     __SCREAMING_SNAKE_CASE      (     lowercase_ = 1_00					)				->		int:

    """simple docstring"""


    return non_bouncy_upto(lowercase_					)


if __name__ == "__main__":
 print(f"""{solution() = }""")






