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Problem: Range Sum of Sorted Subarray Sums

Medium
30 min
Explore how to calculate the sum of elements from specific indices in a sorted array of all possible subarray sums from a given integer array. Understand how to generate subarray sums, sort them efficiently, and perform range sum calculations using optimized approaches relevant to interview problem solving.

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 109+710^9 + 7.

Constraints:

  • n=n = nums.length

  • 11 \leq nums.length 1000\leq 1000

  • 11 \leq nums[i] 100\leq 100

  • 11 \leq left \leq right n×(n+1)/2\leq n \times (n + 1) / 2

Problem
Ask
Submissions

Problem: Range Sum of Sorted Subarray Sums

Medium
30 min
Explore how to calculate the sum of elements from specific indices in a sorted array of all possible subarray sums from a given integer array. Understand how to generate subarray sums, sort them efficiently, and perform range sum calculations using optimized approaches relevant to interview problem solving.

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 109+710^9 + 7.

Constraints:

  • n=n = nums.length

  • 11 \leq nums.length 1000\leq 1000

  • 11 \leq nums[i] 100\leq 100

  • 11 \leq left \leq right n×(n+1)/2\leq n \times (n + 1) / 2