




import sys






def  snake_case(    __magic_name__   )			->							Optional[int]:





     '''simple docstring'''


     lowercase :       Optional[Any]       =			len(__magic_name__   )
     lowercase :       Dict       =			[[0 for x in range(__magic_name__   )] for x in range(__magic_name__   )]
     lowercase :       str       =			[[0 for x in range(__magic_name__   )] for x in range(__magic_name__   )]

     for chain_length in range(2			,		__magic_name__   ):
          for a in range(1			,		n - chain_length + 1   ):
               lowercase :       Optional[Any]       =			a + chain_length - 1

               lowercase :       Any       =			sys.maxsize
               for c in range(__magic_name__			,		__magic_name__   ):
                    lowercase :       Dict       =			(
                        matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
                    )
                    if cost < matrix[a][b]:
                         lowercase :       Optional[Any]       =			cost
                         lowercase :       Dict       =			c
     return matrix, sol






def  snake_case(    __magic_name__			,		__magic_name__			,		__magic_name__   )			->							List[Any]:





     '''simple docstring'''


     if i == j:
          print('''A''' + str(__magic_name__   )			,		end=''' '''   )
     else:
          print('''('''			,		end=''' '''   )
          print_optiomal_solution(__magic_name__			,		__magic_name__			,		optimal_solution[i][j]   )
          print_optiomal_solution(__magic_name__			,		optimal_solution[i][j] + 1			,		__magic_name__   )
          print(''')'''			,		end=''' '''   )






def  snake_case(    )			->							str:





     '''simple docstring'''


     lowercase :       Optional[int]       =			[30, 35, 15, 5, 10, 20, 25]
     lowercase :       List[Any]       =			len(__magic_name__   )
     # Size of matrix created from above array will be
     # 30*35 35*15 15*5 5*10 10*20 20*25
     lowercase      ,	lowercase :       Optional[Any]       =			matrix_chain_order(__magic_name__   )

     print('''No. of Operation required: ''' + str(matrix[1][n - 1]   )   )
     print_optiomal_solution(__magic_name__			,		1			,		n - 1   )


if __name__ == "__main__":
 main()





class 						_A :  # Public class to implement a graph






  def __init__(  self		:     List[Any]				,						_A		:     int				,						_A		:     int				,						_A		:     list[list[bool]]				)		->   None:






       """simple docstring"""







       lowercase :       Tuple       =			row
       lowercase :       Union[str, Any]       =			col
       lowercase :       int       =			graph






  def  __a      (  self		:     List[Any]				,						_A		:     int				,						_A		:     int				,						_A		:     list[list[bool]]				)		->   bool:






       """simple docstring"""







       return (
           0 <= i < self.ROW
           and 0 <= j < self.COL
           and not visited[i][j]
           and self.graph[i][j]
       )






  def  __a      (  self		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     list[list[bool]]				)		->   None:






       """simple docstring"""







       lowercase :       List[str]       =			[-1, -1, -1, 0, 0, 1, 1, 1]  # Coordinate order
       lowercase :       Dict       =			[-1, 0, 1, -1, 1, -1, 0, 1]
       lowercase :       Dict       =			True  # Make those cells visited
       for k in range(8				):
            if self.is_safe(i + row_nbr[k]				,						j + col_nbr[k]				,						_A				):
                 self.diffs(i + row_nbr[k]				,						j + col_nbr[k]				,						_A				)






  def  __a      (  self		:     List[str]				)		->   int:  # And finally, count all islands.






       """simple docstring"""







       lowercase :       List[str]       =			[[False for j in range(self.COL				)] for i in range(self.ROW				)]
       lowercase :       Optional[Any]       =			0
       for i in range(self.ROW				):
            for j in range(self.COL				):
                 if visited[i][j] is False and self.graph[i][j] == 1:
                      self.diffs(_A				,						_A				,						_A				)
                      count += 1
       return count