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Solution: Range Sum of Sorted Subarray Sums

Understand how to efficiently calculate the sum of elements between given indices in a sorted array of subarray sums. Explore the use of binary search to find thresholds and sliding window methods to count and sum subarrays without generating all explicitly. This lesson helps you optimize the range sum calculation with improved time and space complexity.

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 ...