327.

Count of Range Sum

Hard

Given an integer array nums and two integers lower and upper, return the number of range sums that lie in [lower, upper] inclusive. Range sum S(i, j) is defined as the sum of the elements in nums between indices i and j inclusive, where i <= j. Example 1: Input: nums = [-2,5,-1], lower = -2, upper = 2 Output: 3 Explanation: The three ranges are: [0,0], [2,2], and [0,2] and their respective sums are: -2, -1, 2. Example 2: Input: nums = [0], lower = 0, upper = 0 Output: 1 Constraints: 1 <= nums.length <= 104 -231 <= nums[i] <= 231 - 1 -3 * 104 <= lower <= upper <= 3 * 104 Follow up: A naive algorithm of O(n2) is trivial, Could you do better than that?