struct Solution;
use std::collections::HashMap;
impl Solution {
fn stone_game_ii(piles: Vec<i32>) -> i32 {
let n = piles.len();
let mut memo: HashMap<(usize, usize), (i32, i32)> = HashMap::new();
Self::dp(0, 1, &mut memo, &piles, n).0
}
fn dp(
start: usize,
m: usize,
memo: &mut HashMap<(usize, usize), (i32, i32)>,
piles: &[i32],
n: usize,
) -> (i32, i32) {
if start == n {
(0, 0)
} else {
if let Some(&res) = memo.get(&(start, m)) {
return res;
}
let mut a = 0;
let mut res = (0, 0);
for i in start..(start + 2 * m).min(n) {
a += piles[i];
let x = i - start + 1;
let (b, c) = Self::dp(i + 1, x.max(m), memo, piles, n);
if a + c > res.0 {
res = (a + c, b);
}
}
memo.insert((start, m), res);
res
}
}
}
#[test]
fn test() {
let piles = vec![2, 7, 9, 4, 4];
let res = 10;
assert_eq!(Solution::stone_game_ii(piles), res);
}