






'''simple docstring'''

import sys







def 					lowercase__				(   __UpperCamelCase					)->				int:
      UpperCamelCase       						=      len(__UpperCamelCase					)
      UpperCamelCase       						=      [[0 for x in range(__UpperCamelCase					)] for x in range(__UpperCamelCase					)]
      UpperCamelCase       						=      [[0 for x in range(__UpperCamelCase					)] for x in range(__UpperCamelCase					)]

      for chain_length in range(2	,		__UpperCamelCase					):
            for a in range(1	,		n - chain_length + 1					):
                  UpperCamelCase       						=      a + chain_length - 1

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







def 					lowercase__				(   __UpperCamelCase	,		__UpperCamelCase	,		__UpperCamelCase					)->				Optional[int]:
      if i == j:
            print("""A""" + str(__UpperCamelCase					)	,		end=""" """					)
      else:
            print("""("""	,		end=""" """					)
            print_optiomal_solution(__UpperCamelCase	,		__UpperCamelCase	,		optimal_solution[i][j]					)
            print_optiomal_solution(__UpperCamelCase	,		optimal_solution[i][j] + 1	,		__UpperCamelCase					)
            print(""")"""	,		end=""" """					)







def 					lowercase__				(   )->				Optional[Any]:
      UpperCamelCase       						=      [30, 35, 15, 5, 10, 20, 25]
      UpperCamelCase       						=      len(__UpperCamelCase					)
      # Size of matrix created from above array will be
      # 30*35 35*15 15*5 5*10 10*20 20*25
      UpperCamelCase						,UpperCamelCase       						=      matrix_chain_order(__UpperCamelCase					)

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


if __name__ == "__main__":
     main()








'''simple docstring'''

def 					lowercase__				(   __UpperCamelCase					)->				str:
      if not all(char in """01""" for char in bin_string					):
            raise ValueError("""Non-binary value was passed to the function"""					)
      if not bin_string:
            raise ValueError("""Empty string was passed to the function"""					)
      UpperCamelCase       						=      """"""
      while len(__UpperCamelCase					) % 3 != 0:
            UpperCamelCase       						=      """0""" + bin_string
      UpperCamelCase       						=      [
          bin_string[index : index + 3]
          for index in range(len(__UpperCamelCase					)					)
          if index % 3 == 0
      ]
      for bin_group in bin_string_in_3_list:
            UpperCamelCase       						=      0
            for index, val in enumerate(__UpperCamelCase					):
                  oct_val += int(2 ** (2 - index) * int(__UpperCamelCase					)					)
            oct_string += str(__UpperCamelCase					)
      return oct_string


if __name__ == "__main__":
     from doctest import testmod

     testmod()
