You are given an integer array rolls of length n and an integer k. You roll a k sided dice numbered from 1 to k, n times, where the result of the ith roll is rolls[i].
Return the length of the shortest sequence of rolls that cannot be taken from rolls.
A sequence of rolls of length len is the result of rolling a k sided dice len times.
Note that the sequence taken does not have to be consecutive as long as it is in order.
Example 1:
Input: rolls = [4,2,1,2,3,3,2,4,1], k = 4
Output: 3
Explanation: Every sequence of rolls of length 1, [1], [2], [3], [4], can be taken from rolls.
Every sequence of rolls of length 2, [1, 1], [1, 2], …, [4, 4], can be taken from rolls.
The sequence [1, 4, 2] cannot be taken from rolls, so we return 3.
Note that there are other sequences that cannot be taken from rolls.
Example 2:
Input: rolls = [1,1,2,2], k = 2
Output: 2
Explanation: Every sequence of rolls of length 1, [1], [2], can be taken from rolls.
The sequence [2, 1] cannot be taken from rolls, so we return 2.
Note that there are other sequences that cannot be taken from rolls but [2, 1] is the shortest.
Example 3:
Input: rolls = [1,1,3,2,2,2,3,3], k = 4
Output: 1
Explanation: The sequence [4] cannot be taken from rolls, so we return 1.
Note that there are other sequences that cannot be taken from rolls but [4] is the shortest.
Constraints:
如果 rolls[…i]包括所有数字, 那我们就可以从中挑出所有长度为 1 的组合, 再进一步, 如果 rolls[i…j]也包括所有数字,那我们就可以从 rolls[…j]中可以挑出所有长度为 2 的组合, 以此类推如果 rolls[j…k]也包括所有数字, 那我们就可以从 rolls[…k]中挑出所有长度为 3 的组合。我们要做的就是找到尽可能小的 i,j,k。直到我们无法再找出下一个包括所有数字的 section 为止
use std::collections::HashSet;
impl Solution {
pub fn shortest_sequence(rolls: Vec<i32>, k: i32) -> i32 {
let mut exists = HashSet::new();
let mut ans = 1;
for n in rolls {
exists.insert(n);
if exists.len() == k as usize {
exists.clear();
ans += 1;
}
}
ans
}
}