2025-04-28 Daily Challenge

Today I have done leetcode's April LeetCoding Challenge with cpp.

April LeetCoding Challenge 28

Description

Count Subarrays With Score Less Than K

The score of an array is defined as the product of its sum and its length.

  • For example, the score of [1, 2, 3, 4, 5] is (1 + 2 + 3 + 4 + 5) * 5 = 75.

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

A subarray is a contiguous sequence of elements within an array.

 

Example 1:

Input: nums = [2,1,4,3,5], k = 10
Output: 6
Explanation:
The 6 subarrays having scores less than 10 are:
- [2] with score 2 * 1 = 2.
- [1] with score 1 * 1 = 1.
- [4] with score 4 * 1 = 4.
- [3] with score 3 * 1 = 3. 
- [5] with score 5 * 1 = 5.
- [2,1] with score (2 + 1) * 2 = 6.
Note that subarrays such as [1,4] and [4,3,5] are not considered because their scores are 10 and 36 respectively, while we need scores strictly less than 10.

Example 2:

Input: nums = [1,1,1], k = 5
Output: 5
Explanation:
Every subarray except [1,1,1] has a score less than 5.
[1,1,1] has a score (1 + 1 + 1) * 3 = 9, which is greater than 5.
Thus, there are 5 subarrays having scores less than 5.

 

Constraints:

  • 1 <= nums.length <= 105
  • 1 <= nums[i] <= 105
  • 1 <= k <= 1015

Solution

class Solution {
public:
  long long countSubarrays(vector<int>& nums, long long k) {
    long long sum = 0;
    int begin = 0;
    int len = nums.size();
    long long answer = 0;
    for(int end = 0; end < len; ++end) {
      sum += nums[end];
      while(sum * (end - begin + 1) >= k) {
        sum -= nums[begin];
        begin += 1;
      }
      answer += end - begin + 1;
    }
    return answer;
  }
};

// Accepted
// 167/167 cases passed (0 ms)
// Your runtime beats 100 % of cpp submissions
// Your memory usage beats 45.44 % of cpp submissions (99.1 MB)