There are n
soldiers standing in a line. Each soldier is assigned a unique rating
value.
You have to form a team of 3 soldiers amongst them under the following rules:
- Choose 3 soldiers with index (
i
,j
,k
) with rating (rating[i]
,rating[j]
,rating[k]
). - A team is valid if: (
rating[i] < rating[j] < rating[k]
) or (rating[i] > rating[j] > rating[k]
) where (0 <= i < j < k < n
).
Return the number of teams you can form given the conditions. (soldiers can be part of multiple teams).
Input: rating = [2,5,3,4,1] Output: 3 Explanation: We can form three teams given the conditions. (2,3,4), (5,4,1), (5,3,1).
Input: rating = [2,1,3] Output: 0 Explanation: We can't form any team given the conditions.
Input: rating = [1,2,3,4] Output: 4
n == rating.length
1 <= n <= 200
1 <= rating[i] <= 10^5
impl Solution {
pub fn num_teams(rating: Vec<i32>) -> i32 {
let mut ret = 0;
for j in 1..(rating.len() - 1) {
let ltl = rating[..j].iter().filter(|&&x| x < rating[j]).count();
let gtl = j - ltl;
let ltr = rating[j..].iter().filter(|&&x| x < rating[j]).count();
let gtr = rating.len() - 1 - j - ltr;
ret += ltl * gtr + ltr * gtl;
}
ret as i32
}
}