from functools import lru_cache from itertools import product, cycle, count @lru_cache(maxsize=None) def play(p1, p2, s1=0, s2=0): if s2 >= 21: return 0, 1 w1, w2 = 0, 0 for die in d3: pN = (p1 + die) % 10 or 10 n2, n1 = play(p2, pN, s2, s1 + pN) w1, w2 = (w1 + n1), (w2 + n2) return w1, w2 text = open(0).read() d3 = [sum(rolls) for rolls in product(range(1, 4), repeat=3)] p1, p2 = [int(ln[-1]) for ln in text.splitlines()] state = {0: (0, p1), 1: (0, p2)} d100 = cycle(range(1,101)) for i in count(): score, pos = state[i % 2] pos = (pos + next(d100) + next(d100) + next(d100)) % 10 or 10 state[i % 2] = (score + pos, pos) if score + pos >= 1000: break print((i + 1) * 3 * min(state.values())[0]) print(max(play(p1, p2)))