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Java-based LeetCode algorithm problem solutions, regularly updated
2104\. Sum of Subarray Ranges
Medium
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.
**Example 1:**
**Input:** nums = [1,2,3]
**Output:** 4
**Explanation:** The 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.
**Example 2:**
**Input:** nums = [1,3,3]
**Output:** 4
**Explanation:** The 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.
**Example 3:**
**Input:** nums = [4,-2,-3,4,1]
**Output:** 59
**Explanation:** The sum of all subarray ranges of nums is 59.
**Constraints:**
* `1 <= nums.length <= 1000`
* -109 <= nums[i] <= 109
**Follow-up:** Could you find a solution with `O(n)` time complexity?