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  1. Counter game
  2. Discussions

Counter game

  • michael_chen_0
     + 0 comments

    This Python 3 solution has some overhead, but I think it's reasonably readable:

    import itertools
import typing


def counterGame(n: int) -> typing.Literal["Louise", "Richard"]:
    other_player = {"Louise": "Richard", "Richard": "Louise"}
    for player in itertools.cycle(("Louise", "Richard")):
        if n == 1:
            return other_player[player]
        power = n.bit_length() - 1
        if f"{n:b}".endswith(zeros := power * "0", 1):
            return player if power % 2 else other_player[player]
        n -= int(f"1{zeros}", 2)