struct Solution;
use std::collections::HashMap;
impl Solution {
fn min_difficulty(job_difficulty: Vec<i32>, d: i32) -> i32 {
let n = job_difficulty.len();
let d = d as usize;
if d > n {
return -1;
}
let mut memo: HashMap<(usize, usize), i32> = HashMap::new();
Self::dp(0, d, &mut memo, &job_difficulty, n)
}
fn dp(
start: usize,
d: usize,
memo: &mut HashMap<(usize, usize), i32>,
jobs: &[i32],
n: usize,
) -> i32 {
if let Some(&res) = memo.get(&(start, d)) {
return res;
}
let res = if d == 1 {
*jobs[start..n].iter().max().unwrap()
} else {
if start + d == n {
jobs[start..start + d].iter().sum()
} else {
let mut min = std::i32::MAX;
let mut max = 0;
for i in start..=(n - d) {
max = max.max(jobs[i]);
min = min.min(max + Self::dp(i + 1, d - 1, memo, jobs, n));
}
min
}
};
memo.insert((start, d), res);
res
}
}
#[test]
fn test() {
let job_difficulty = vec![6, 5, 4, 3, 2, 1];
let d = 2;
let res = 7;
assert_eq!(Solution::min_difficulty(job_difficulty, d), res);
let job_difficulty = vec![9, 9, 9];
let d = 4;
let res = -1;
assert_eq!(Solution::min_difficulty(job_difficulty, d), res);
let job_difficulty = vec![1, 1, 1];
let d = 3;
let res = 3;
assert_eq!(Solution::min_difficulty(job_difficulty, d), res);
let job_difficulty = vec![7, 1, 7, 1, 7, 1];
let d = 3;
let res = 15;
assert_eq!(Solution::min_difficulty(job_difficulty, d), res);
let job_difficulty = vec![11, 111, 22, 222, 33, 333, 44, 444];
let d = 6;
let res = 843;
assert_eq!(Solution::min_difficulty(job_difficulty, d), res);
}