{ "data": { "question": { "questionId": "3265", "questionFrontendId": "3026", "boundTopicId": null, "title": "Maximum Good Subarray Sum", "titleSlug": "maximum-good-subarray-sum", "content": "
You are given an array nums
of length n
and a positive integer k
.
A subarray of nums
is called good if the absolute difference between its first and last element is exactly k
, in other words, the subarray nums[i..j]
is good if |nums[i] - nums[j]| == k
.
Return the maximum sum of a good subarray of nums
. If there are no good subarrays, return 0
.
\n
Example 1:
\n\n\nInput: nums = [1,2,3,4,5,6], k = 1\nOutput: 11\nExplanation: The absolute difference between the first and last element must be 1 for a good subarray. All the good subarrays are: [1,2], [2,3], [3,4], [4,5], and [5,6]. The maximum subarray sum is 11 for the subarray [5,6].\n\n\n
Example 2:
\n\n\nInput: nums = [-1,3,2,4,5], k = 3\nOutput: 11\nExplanation: The absolute difference between the first and last element must be 3 for a good subarray. All the good subarrays are: [-1,3,2], and [2,4,5]. The maximum subarray sum is 11 for the subarray [2,4,5].\n\n\n
Example 3:
\n\n\nInput: nums = [-1,-2,-3,-4], k = 2\nOutput: -6\nExplanation: The absolute difference between the first and last element must be 2 for a good subarray. All the good subarrays are: [-1,-2,-3], and [-2,-3,-4]. The maximum subarray sum is -6 for the subarray [-1,-2,-3].\n\n\n
\n
Constraints:
\n\n2 <= nums.length <= 105
-109 <= nums[i] <= 109
1 <= k <= 109
i
store the element at index i + 1
as the key and the prefix sum till i
as the value.",
"For each prefix sum ending at nums[i]
, try finding nums[i] - k
and nums[i] + k
in the HashMap and update the answer."
],
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"sampleTestCase": "[1,2,3,4,5,6]\n1",
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