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Solution: Count Subarrays With Score Less Than K

Explore how to count the number of subarrays with a score less than a given threshold using a sliding window technique. This lesson teaches an efficient one-pass algorithm to handle subarray sums and lengths, enabling you to solve related coding interview problems with optimal time and space complexity.

Statement

An array score is defined as the sum of the array elements multiplied by its length. For example, if the array is [2,1,5][2, 1, 5], then its score is (2+1+5)×3(2 + 1 + 5) \times 3 = 2424.

Given an array of positive integers, nums, and a positive integer k, count and return the number of non-empty subarrays of nums whose score is strictly less than k.

Note:subarray is a contiguous sequence of elements within an array.

Constraints:

  • 11 \leq nums.length 103\leq 10^{3} ...