#!/usr/bin/env python import itertools import sys from typing import Iterable, Iterator, List, NamedTuple, Tuple, TypeVar T = TypeVar("T") def grouper(iterable: Iterable[T], n: int) -> Iterator[Tuple[T, ...]]: args = [iter(iterable)] * n return itertools.zip_longest(*args) def take(n: int, iterable: Iterable[T]) -> List[T]: return list(itertools.islice(iterable, n)) class PlayerStats(NamedTuple): position: int score: int class GameState(NamedTuple): p1: PlayerStats p2: PlayerStats total_rolls: int WINNING_SCORE = 1000 def solve(input: List[str]) -> int: def parse() -> Tuple[int, int]: p1, p2 = input[0].split(" ")[-1], input[1].split(" ")[-1] return int(p1), int(p2) def deterministic_die() -> Iterator[int]: return itertools.cycle(range(1, 100 + 1)) def do_turn(stats: PlayerStats, rolls: Iterator[int]) -> PlayerStats: position, score = stats roll = sum(take(3, rolls)) position = ((position - 1 + roll) % 10) + 1 score += position return PlayerStats(position, score) def play_to_end(intial_state: GameState) -> GameState: p1, p2, total_rolls = intial_state die_rolls = deterministic_die() while True: p1 = do_turn(p1, die_rolls) total_rolls += 3 if p1.score >= WINNING_SCORE: break p2 = do_turn(p2, die_rolls) total_rolls += 3 if p2.score >= WINNING_SCORE: break return GameState(p1, p2, total_rolls) position1, position2 = parse() p1, p2, total_rolls = play_to_end( GameState(PlayerStats(position1, 0), PlayerStats(position2, 0), 0) ) # The loser *must* have the lowest score return min(p1.score, p2.score) * total_rolls def main() -> None: input = [line.strip() for line in sys.stdin.readlines()] print(solve(input)) if __name__ == "__main__": main()