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3357. Minimize the Maximum Adjacent Element Difference
Description
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.
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 <= 105
nums[i]
is either -1 or in the range[1, 109]
.