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Problem: Range Sum of Sorted Subarray Sums

med
30 min
Explore how to calculate the sum of sorted continuous subarray sums within specified indices by organizing data through sorting. This lesson helps you understand problem-solving using sorting techniques and related algorithms for efficient coding interview solutions.

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

Tap here to switch tabs
Problem
Ask
Submissions

Problem: Range Sum of Sorted Subarray Sums

med
30 min
Explore how to calculate the sum of sorted continuous subarray sums within specified indices by organizing data through sorting. This lesson helps you understand problem-solving using sorting techniques and related algorithms for efficient coding interview solutions.

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