

'''simple docstring'''

def 				__UpperCamelCase							(	lowercase__						:  list[list[int]] ):






     '''simple docstring'''





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

     return result

def 				__UpperCamelCase							(	lowercase__						:  list[list[int]] ):






     '''simple docstring'''





     if check_matrix(lowercase__ ) and len(lowercase__ ) > 0:
          __lowercase					=[list(lowercase__ ) for row in a]
          __lowercase					=len(lowercase__ )
          if isinstance(a[0],					lowercase__ ):
               __lowercase					=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] )
          __lowercase					=[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 				__UpperCamelCase							(	lowercase__						:  list[list] ):






     '''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()

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





'''simple docstring'''

from __future__ import annotations

def 				__UpperCamelCase							(	lowercase__						:  list[int | float],					lowercase__						:  int,					lowercase__						:  int ):






     '''simple docstring'''





     if len(lowercase__ ) == 0:
          raise ValueError('find_min() arg is an empty sequence' )
     if (
         left >= len(lowercase__ )
         or left < -len(lowercase__ )
         or right >= len(lowercase__ )
         or right < -len(lowercase__ )
     ):
          raise IndexError('list index out of range' )
     if left == right:
          return nums[left]
     __lowercase					=(left + right) >> 1  # the middle
     __lowercase					=find_min(lowercase__,					lowercase__,					lowercase__ )  # find min in range[left, mid]
     __lowercase					=find_min(lowercase__,					mid + 1,					lowercase__ )  # find min in range[mid + 1, right]

     return left_min if left_min <= right_min else right_min


if __name__ == "__main__":
       import doctest

       doctest.testmod(verbose=True)


