




from math import factorial

def      A      (      _SCREAMING_SNAKE_CASE = 20    )	-> int:
       lowerCamelCase   :      List[str]			 =					2 * n  # middle entry of odd rows starting at row 3 is the solution for n = 1,
       # 2, 3,...
       lowerCamelCase   :      Optional[Any]			 =					n // 2

       return int(factorial(_SCREAMING_SNAKE_CASE    ) / (factorial(_SCREAMING_SNAKE_CASE    ) * factorial(n - k    ))    )


if __name__ == "__main__":
       import sys

       if len(sys.argv) == 1:
              print(solution(20))
       else:
              try:
                     SCREAMING_SNAKE_CASE__       :      List[Any]  =   int(sys.argv[1])
                     print(solution(n))
              except ValueError:
                     print('Invalid entry - please enter a number.')












from math import sqrt

def      A      (      _SCREAMING_SNAKE_CASE = 100_0000    )	-> int:
       lowerCamelCase   :      int			 =					0
       lowerCamelCase   :      int			 =					0
       lowerCamelCase   :      int

       while num_cuboids <= limit:
              max_cuboid_size += 1
              for sum_shortest_sides in range(2 ,2 * max_cuboid_size + 1    ):
                     if sqrt(sum_shortest_sides**2 + max_cuboid_size**2    ).is_integer():
                            num_cuboids += (
                                min(_SCREAMING_SNAKE_CASE ,sum_shortest_sides // 2    )
                                - max(1 ,sum_shortest_sides - max_cuboid_size    )
                                + 1
                            )

       return max_cuboid_size


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






