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Algorithm

862. Shortest Subarray with Sum at Least K

Description

Return the length of the shortest, non-empty, contiguous subarray of nums with sum at least k.

If there is no non-empty subarray with sum at least k, return -1.

Example 1:

Input: nums = [1], k = 1
Output: 1

Example 2:

Input: nums = [1,2], k = 4
Output: -1

Example 3:

Input: nums = [2,-1,2], k = 3
Output: 3

Note:

  • 1 <= nums.length <= 50000
  • -105 <= nums[i] <= 105
  • 1 <= k <= 109

Solution

public int shortestSubarray(int[] A, int K) {
    int N = A.length, res = N + 1;
    int[] B = new int[N + 1];
    for (int i = 0; i < N; i++) B[i + 1] = B[i] + A[i];
    Deque<Integer> d = new ArrayDeque<>();
    for (int i = 0; i < N + 1; i++) {
        while (d.size() > 0 && B[i] - B[d.getFirst()] >=  K)
            res = Math.min(res, i - d.pollFirst());
        while (d.size() > 0 && B[i] <= B[d.getLast()])
            d.pollLast();
        d.addLast(i);
    }
    return res <= N ? res : -1;
}

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