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Count of Range Sum

Given an integer array nums and two integers lower and upper, return the number of range sums that lie in [lower, upper] inclusive.

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.

Count of Range Sum diagram

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 <= 10^5
  • -231 <= nums[i] <= 231 - 1
  • -10^5 <= lower <= upper <= 10^5
  • The answer is guaranteed to fit in a 32-bit integer.

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