How to Solve Sum of Subarray Ranges Problem
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Sum of Subarray Ranges
You are given an integer array nums. The range of a subarray of nums is the difference between the largest and smallest element in the subarray. Return the sum of all subarray ranges of nums. A subarr...
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Understanding the Sum of Subarray Ranges Problem
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Problem Statement
You are given an integer array nums. The range of a subarray of nums is the difference between the largest and smallest element in the subarray. Return the sum of all subarray ranges of nums. A subarray is a contiguous non-empty sequence of elements within an array.
Sum of Subarray Ranges
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Examples
nums = [1,2,3]4The 6 subarrays of nums are the following: [1], range = largest - smallest = 1 - 1 = 0 [2], range = 2 - 2 = 0 [3], range = 3 - 3 = 0 [1,2], range = 2 - 1 = 1 [2,3], range = 3 - 2 = 1 [1,2,3], range = 3 - 1 = 2 So the sum of all ranges is 0 + 0 + 0 + 1 + 1 + 2 = 4.
nums = [1,3,3]4The 6 subarrays of nums are the following: [1], range = largest - smallest = 1 - 1 = 0 [3], range = 3 - 3 = 0 [3], range = 3 - 3 = 0 [1,3], range = 3 - 1 = 2 [3,3], range = 3 - 3 = 0 [1,3,3], range = 3 - 1 = 2 So the sum of all ranges is 0 + 0 + 0 + 2 + 0 + 2 = 4.
nums = [4,-2,-3,4,1]59The sum of all subarray ranges of nums is 59.
Constraints
1 <= nums.length <= 1000109 <= nums[i] <= 109How Interview Coder Helps with Leetcode Problems
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