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Problem: Range Sum of Sorted Subarray Sums

Medium
30 min
Explore how to calculate the sum of elements from sorted subarray sums within a specified range using sorting techniques. Understand problem constraints and apply efficient methods to handle continuous subarrays and large results. Practice implementing solutions in code to master this common coding interview pattern.

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 sorted subarray sums within a specified range using sorting techniques. Understand problem constraints and apply efficient methods to handle continuous subarrays and large results. Practice implementing solutions in code to master this common coding interview pattern.

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