




'''simple docstring'''






import sys






def 		UpperCamelCase__      (		__SCREAMING_SNAKE_CASE		)    ->   Dict:
      snake_case__       :   Any	      =    len(__SCREAMING_SNAKE_CASE		)
      snake_case__       :   Optional[int]	      =    [[0 for x in range(__SCREAMING_SNAKE_CASE		)] for x in range(__SCREAMING_SNAKE_CASE		)]
      snake_case__       :   Dict	      =    [[0 for x in range(__SCREAMING_SNAKE_CASE		)] for x in range(__SCREAMING_SNAKE_CASE		)]

      for chain_length in range(2				,      __SCREAMING_SNAKE_CASE		):
            for a in range(1				,      n - chain_length + 1		):
                  snake_case__       :   str	      =    a + chain_length - 1

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






def 		UpperCamelCase__      (		__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE		)    ->   Optional[Any]:
      if i == j:
            print('A' + str(__SCREAMING_SNAKE_CASE		)				,      end=' '		)
      else:
            print('('				,      end=' '		)
            print_optiomal_solution(__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE				,      optimal_solution[i][j]		)
            print_optiomal_solution(__SCREAMING_SNAKE_CASE				,      optimal_solution[i][j] + 1				,      __SCREAMING_SNAKE_CASE		)
            print(')'				,      end=' '		)






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

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


if __name__ == "__main__":
      main()






'''simple docstring'''






from math import pi






def 		UpperCamelCase__      (		__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE		)    ->   float:
      return 2 * pi * radius * (angle / 360)


if __name__ == "__main__":
      print(arc_length(90, 10))
