




import sys

def  UpperCAmelCase_							(				__UpperCAmelCase						:     int							) ->			Dict:
						SCREAMING_SNAKE_CASE_     						=      len(__A							)
						SCREAMING_SNAKE_CASE_     						=      [[0 for x in range(__A							)] for x in range(__A							)]
						SCREAMING_SNAKE_CASE_     						=      [[0 for x in range(__A							)] for x in range(__A							)]

						for chain_length in range(2      ,      __A							):
												for a in range(1      ,      n - chain_length + 1							):
																		SCREAMING_SNAKE_CASE_     						=      a + chain_length - 1

																		SCREAMING_SNAKE_CASE_     						=      sys.maxsize
																		for c in range(__A      ,      __A							):
																								SCREAMING_SNAKE_CASE_     						=      (
																								    matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
																								)
																								if cost < matrix[a][b]:
																														SCREAMING_SNAKE_CASE_     						=      cost
																														SCREAMING_SNAKE_CASE_     						=      c
						return matrix, sol

def  UpperCAmelCase_							(				__UpperCAmelCase						:     Any      ,      __UpperCAmelCase						:     Dict      ,      __UpperCAmelCase						:     Optional[int]							) ->			Optional[int]:


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

def  UpperCAmelCase_							(				) ->			List[str]:
						SCREAMING_SNAKE_CASE_     						=      [30, 35, 15, 5, 10, 20, 25]
						SCREAMING_SNAKE_CASE_     						=      len(__A							)
						# Size of matrix created from above array will be
						# 30*35 35*15 15*5 5*10 10*20 20*25
						SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      matrix_chain_order(__A							)

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


if __name__ == "__main__":
			main()





def  UpperCAmelCase_							(				__UpperCAmelCase						:     Optional[Any]      ,      __UpperCAmelCase						:     Union[str, Any]							) ->			List[str]:
      SCREAMING_SNAKE_CASE_     						=      0
      while b > 0:
            if b & 1:
                  res += a

            a += a
            b >>= 1

      return res

def  UpperCAmelCase_							(				__UpperCAmelCase						:     str      ,      __UpperCAmelCase						:     int      ,      __UpperCAmelCase						:     Tuple							) ->			int:
      SCREAMING_SNAKE_CASE_     						=      0
      while b > 0:
            if b & 1:
                  SCREAMING_SNAKE_CASE_     						=      ((res % c) + (a % c)) % c

            a += a
            b >>= 1

      return res