{ "data": { "question": { "questionId": "3658", "questionFrontendId": "3357", "boundTopicId": null, "title": "Minimize the Maximum Adjacent Element Difference", "titleSlug": "minimize-the-maximum-adjacent-element-difference", "content": "
You are given an array of integers nums
. Some values in nums
are missing and are denoted by -1.
You can choose a pair of positive integers (x, y)
exactly once and replace each missing element with either x
or y
.
You need to minimize the maximum absolute difference between adjacent elements of nums
after replacements.
Return the minimum possible difference.
\n\n\n
Example 1:
\n\nInput: nums = [1,2,-1,10,8]
\n\nOutput: 4
\n\nExplanation:
\n\nBy choosing the pair as (6, 7)
, nums can be changed to [1, 2, 6, 10, 8]
.
The absolute differences between adjacent elements are:
\n\n|1 - 2| == 1
|2 - 6| == 4
|6 - 10| == 4
|10 - 8| == 2
Example 2:
\n\nInput: nums = [-1,-1,-1]
\n\nOutput: 0
\n\nExplanation:
\n\nBy choosing the pair as (4, 4)
, nums can be changed to [4, 4, 4]
.
Example 3:
\n\nInput: nums = [-1,10,-1,8]
\n\nOutput: 1
\n\nExplanation:
\n\nBy choosing the pair as (11, 9)
, nums can be changed to [11, 10, 9, 8]
.
\n
Constraints:
\n\n2 <= nums.length <= 105
nums[i]
is either -1 or in the range [1, 109]
.d
, it can be proved that for the optimal case we'll replace -1s with values 0 < x <= y
and it's always optimal to select x = min(a) + d
. So we only need to select y
.",
"Binary search on d
."
],
"solution": null,
"status": null,
"sampleTestCase": "[1,2,-1,10,8]",
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