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Solution: Range Sum of Sorted Subarray Sums

Explore how to calculate the sum of elements from a sorted array of continuous subarray sums using binary search and sliding window methods. Understand optimizing the brute-force approach by narrowing search thresholds, counting subarrays, and computing their sums efficiently without enumerating each subarray explicitly.

Statement

You are given an integer array nums containing nn positive integers along with left and right. Calculate the sum of its elements for every non-empty continuous subarray of nums. Collect these sums into a new array and sort it in nondecreasing order. This will result in a new array of size n×(n+1)/2n \times (n + 1) /2.

Your task is to return the sum of the elements in this sorted array from the index left to right (inclusive with 1-based indexing).

Note: As the result can be large, return the sum modulo ...