use std::io::Read; use crate::common::LineIter; fn read_input(input: &mut dyn Read) -> (i32, i32) { let mut reader = LineIter::new(input); let a = reader .next() .unwrap() .split(' ') .last() .unwrap() .parse() .unwrap(); let b = reader .next() .unwrap() .split(' ') .last() .unwrap() .parse() .unwrap(); (a, b) } #[inline] fn simulate(die: i32, pos: i32) -> i32 { (pos + 3 * die + 3 - 1) % 10 + 1 } fn find_repetition(mut pos: i32, mut die: i32) -> i32 { let mut advance = 0; for _ in 0..10 { pos = simulate(die, pos); advance += pos; die = (die + 6) % 10; } advance } pub fn part1(input: &mut dyn Read) -> String { const TARGET_SCORE: i32 = 1000; let (a, b) = read_input(input); let a10 = find_repetition(a, 1); let b10 = find_repetition(b, 4); let a_win = TARGET_SCORE / a10; let b_win = TARGET_SCORE / b10; let mut rolls = 3 * 20 * a_win.min(b_win); let mut a_score = rolls / 3 / 20 * a10; let mut b_score = rolls / 3 / 20 * b10; let mut a_pos = a; let mut b_pos = b; let mut die = 1; let (loser_score, rolls) = if a_win < b_win { while a_score < TARGET_SCORE { a_pos = simulate(die, a_pos); a_score += a_pos; rolls += 3; if a_score < TARGET_SCORE { b_pos = simulate(die + 3, b_pos); b_score += b_pos; rolls += 3; } die = (die + 6) % 10; } (b_score, rolls) } else { while b_score < TARGET_SCORE { a_pos = simulate(die, a_pos); a_score += a_pos; b_pos = simulate(die + 3, b_pos); b_score += b_pos; rolls += 6; die = (die + 6) % 10; } (a_score, rolls) }; (loser_score * rolls).to_string() } const MAX_TURNS: usize = 21; // Trivial upper bound, could be lower const ROLLS: [i32; 7] = [3, 4, 5, 6, 7, 8, 9]; const FREQS: [u64; 7] = [1, 3, 6, 7, 6, 3, 1]; fn multiverse_recursive( remaining: &mut [u64], wins: &mut [u64], turn: usize, alive: u64, pos: i32, score: i32, ) { for (roll, freq) in ROLLS.into_iter().zip(FREQS) { let new_pos = (pos + roll - 1) % 10 + 1; let new_score = score + new_pos; let new_alive = alive * freq; if new_score >= 21 { wins[turn] += new_alive; } else { remaining[turn] += new_alive; multiverse_recursive(remaining, wins, turn + 1, new_alive, new_pos, new_score); } } } fn multiverse(pos: i32) -> ([u64; MAX_TURNS], [u64; MAX_TURNS]) { let mut alive = [0; MAX_TURNS]; let mut wins = [0; MAX_TURNS]; alive[0] = 1; multiverse_recursive(&mut alive, &mut wins, 1, 1, pos, 0); (wins, alive) } pub fn part2(input: &mut dyn Read) -> String { let (a, b) = read_input(input); let (a_wins, a_alive) = multiverse(a); let (b_wins, b_alive) = multiverse(b); let a_winner: u64 = a_wins[1..] .into_iter() .zip(b_alive) .map(|(&a, b)| a * b) .sum(); let b_winner: u64 = b_wins.into_iter().zip(a_alive).map(|(a, b)| a * b).sum(); a_winner.max(b_winner).to_string() } #[cfg(test)] mod tests { use crate::test_implementation; use super::*; const SAMPLE: &[u8] = include_bytes!("samples/21.txt"); #[test] fn sample_part1() { test_implementation(part1, SAMPLE, 739785); } #[test] fn sample_part2() { test_implementation(part2, SAMPLE, 444356092776315u64); } }