from typing import List


class Room:

    def __init__(self, rank: int, name: str = ""):

        self.name = name
        self.rank = rank

    def __str__(self):
        return f"{self.name}: {self.rank}"

    def __repr__(self):
        return str(self.rank)

    limits = [{i, 2 * i} for i in range(0, 26)]

    @staticmethod
    def get_rank_list(rooms: List) -> List:
        return [room.rank for room in rooms]

    @staticmethod
    def show_rooms(rooms: List) -> List:
        return [str(room) for room in rooms]

    @staticmethod
    def ad_least_twice(rooms: List) -> bool:
        for room in rooms:
            for divider_room in rooms:
                if divider_room.rank / room.rank >= 2.0:
                    return True
        return False

    @staticmethod
    def exactly_twice(rooms: List) -> bool:
        ranks = Room.get_rank_list(rooms)
        for rank in ranks:
            if 2 * rank in ranks:
                return True
        return False

    @staticmethod
    def constrained_exactly_twice(rooms: List) -> bool:
        ranks = {room.rank for room in rooms}
        for limit in Room.limits:
            if limit.issubset(ranks):
                return True
        return False