


'''simple docstring'''



import sys




def 			_a			(		_lowercase      :			Optional[int]						):





     '''simple docstring'''






     __UpperCAmelCase			:				int													=    len(_lowercase						)
     __UpperCAmelCase			:				List[Any]													=    [[0 for x in range(_lowercase						)] for x in range(_lowercase						)]
     __UpperCAmelCase			:				str													=    [[0 for x in range(_lowercase						)] for x in range(_lowercase						)]

     for chain_length in range(2    ,      _lowercase						):
          for a in range(1    ,      n - chain_length + 1						):
               __UpperCAmelCase			:				Union[str, Any]													=    a + chain_length - 1

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




def 			_a			(		_lowercase      :			Dict    ,      _lowercase      :			List[Any]    ,      _lowercase      :			Any						):





     '''simple docstring'''






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




def 			_a			(		):





     '''simple docstring'''






     __UpperCAmelCase			:				str													=    [30, 35, 15, 5, 10, 20, 25]
     __UpperCAmelCase			:				List[Any]													=    len(_lowercase						)
     # Size of matrix created from above array will be
     # 30*35 35*15 15*5 5*10 10*20 20*25
     __UpperCAmelCase							,     __UpperCAmelCase			:				Union[str, Any]													=    matrix_chain_order(_lowercase						)

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


if __name__ == "__main__":
      main()



'''simple docstring'''



def 			_a			(		_lowercase      :			int = 50000000						):





     '''simple docstring'''






     __UpperCAmelCase			:				List[str]													=    set()
     __UpperCAmelCase			:				Tuple													=    int((limit - 24) ** (1 / 2)						)

     __UpperCAmelCase			:				Tuple													=    set(range(3    ,      prime_square_limit + 1    ,      2						)						)
     primes.add(2						)
     for p in range(3    ,      prime_square_limit + 1    ,      2						):
          if p not in primes:
               continue
          primes.difference_update(set(range(p * p    ,      prime_square_limit + 1    ,      _lowercase						)						)						)

     for primea in primes:
          __UpperCAmelCase			:				Any													=    primea * primea
          for primea in primes:
               __UpperCAmelCase			:				Any													=    primea * primea * primea
               if square + cube >= limit - 16:
                    break
               for primea in primes:
                    __UpperCAmelCase			:				Optional[Any]													=    primea * primea * primea * primea
                    __UpperCAmelCase			:				Union[str, Any]													=    square + cube + tetr
                    if total >= limit:
                         break
                    ret.add(_lowercase						)

     return len(_lowercase						)


if __name__ == "__main__":
      print(f"""{solution() = }""")