{ "data": { "question": { "questionId": "2227", "questionFrontendId": "2104", "boundTopicId": null, "title": "Sum of Subarray Ranges", "titleSlug": "sum-of-subarray-ranges", "content": "

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.

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Return the sum of all subarray ranges of nums.

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A subarray is a contiguous non-empty sequence of elements within an array.

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Example 1:

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\nInput: nums = [1,2,3]\nOutput: 4\nExplanation: The 6 subarrays of nums are the following:\n[1], range = largest - smallest = 1 - 1 = 0 \n[2], range = 2 - 2 = 0\n[3], range = 3 - 3 = 0\n[1,2], range = 2 - 1 = 1\n[2,3], range = 3 - 2 = 1\n[1,2,3], range = 3 - 1 = 2\nSo the sum of all ranges is 0 + 0 + 0 + 1 + 1 + 2 = 4.
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Example 2:

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\nInput: nums = [1,3,3]\nOutput: 4\nExplanation: The 6 subarrays of nums are the following:\n[1], range = largest - smallest = 1 - 1 = 0\n[3], range = 3 - 3 = 0\n[3], range = 3 - 3 = 0\n[1,3], range = 3 - 1 = 2\n[3,3], range = 3 - 3 = 0\n[1,3,3], range = 3 - 1 = 2\nSo the sum of all ranges is 0 + 0 + 0 + 2 + 0 + 2 = 4.\n
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Example 3:

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\nInput: nums = [4,-2,-3,4,1]\nOutput: 59\nExplanation: The sum of all subarray ranges of nums is 59.\n
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Constraints:

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Follow-up: Could you find a solution with O(n) time complexity?

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