1343. Number of Sub-arrays of Size K and Average Greater than or Equal to Threshold

Given an array of integers arr and two integers k and threshold.

Return the number of sub-arrays of size k and average greater than or equal to threshold.

 

Example 1:

Input: arr = [2,2,2,2,5,5,5,8], k = 3, threshold = 4
Output: 3
Explanation: Sub-arrays [2,5,5],[5,5,5] and [5,5,8] have averages 4, 5 and 6 respectively. All other sub-arrays of size 3 have averages less than 4 (the threshold).

Example 2:

Input: arr = [1,1,1,1,1], k = 1, threshold = 0
Output: 5

Example 3:

Input: arr = [11,13,17,23,29,31,7,5,2,3], k = 3, threshold = 5
Output: 6
Explanation: The first 6 sub-arrays of size 3 have averages greater than 5. Note that averages are not integers.

Example 4:

Input: arr = [7,7,7,7,7,7,7], k = 7, threshold = 7
Output: 1

Example 5:

Input: arr = [4,4,4,4], k = 4, threshold = 1
Output: 1

 

Constraints:

  • 1 <= arr.length <= 10^5
  • 1 <= arr[i] <= 10^4
  • 1 <= k <= arr.length
  • 0 <= threshold <= 10^4

Rust Solution

struct Solution;

impl Solution {
    fn num_of_subarrays(arr: Vec<i32>, k: i32, threshold: i32) -> i32 {
        let n = arr.len();
        let mut prefix = vec![0; n + 1];
        let sum = threshold * k;
        let k = k as usize;
        let mut res = 0;
        for i in 0..n {
            prefix[i + 1] = prefix[i] + arr[i];
        }
        for r in k..=n {
            let l = r - k;
            if prefix[r] - prefix[l] >= sum {
                res += 1;
            }
        }
        res
    }
}

#[test]
fn test() {
    let arr = vec![2, 2, 2, 2, 5, 5, 5, 8];
    let k = 3;
    let threshold = 4;
    let res = 3;
    assert_eq!(Solution::num_of_subarrays(arr, k, threshold), res);
    let arr = vec![1, 1, 1, 1, 1];
    let k = 1;
    let threshold = 0;
    let res = 5;
    assert_eq!(Solution::num_of_subarrays(arr, k, threshold), res);
    let arr = vec![11, 13, 17, 23, 29, 31, 7, 5, 2, 3];
    let k = 3;
    let threshold = 5;
    let res = 6;
    assert_eq!(Solution::num_of_subarrays(arr, k, threshold), res);
    let arr = vec![7, 7, 7, 7, 7, 7, 7];
    let k = 7;
    let threshold = 7;
    let res = 1;
    assert_eq!(Solution::num_of_subarrays(arr, k, threshold), res);
    let arr = vec![4, 4, 4, 4];
    let k = 4;
    let threshold = 1;
    let res = 1;
    assert_eq!(Solution::num_of_subarrays(arr, k, threshold), res);
}

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