3357. Minimize the Maximum Adjacent Element Difference
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You are given an array of integers nums. Some values in nums are missing and are denoted by -1.
You must 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.
Example 1:
Input: nums = [1,2,-1,10,8]
Output: 4
Explanation:
By choosing the pair as (6, 7), nums can be changed to [1, 2, 6, 10, 8].
The absolute differences between adjacent elements are:
|1 - 2| == 1|2 - 6| == 4|6 - 10| == 4|10 - 8| == 2
Example 2:
Input: nums = [-1,-1,-1]
Output: 0
Explanation:
By choosing the pair as (4, 4), nums can be changed to [4, 4, 4].
Example 3:
Input: nums = [-1,10,-1,8]
Output: 1
Explanation:
By choosing the pair as (11, 9), nums can be changed to [11, 10, 9, 8].
Constraints:
2 <= nums.length <= 105nums[i]is either -1 or in the range[1, 109].
Hints
Hint 1
Hint 2
Hint 3
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.Hint 4
d.