Find the Value of the Partition
You are given a positive integer array nums.
You are given a positive integer array nums.
Partition nums into two arrays, nums1 and nums2, such that:
The value of the partition is |max(nums1) - min(nums2)|.
Here, max(nums1) denotes the maximum element of the array nums1, and min(nums2) denotes the minimum element of the array nums2.
Return the integer denoting the value of such partition.
Example 1
Input: nums = [1,3,2,4]
Output: 1
Explanation: We can partition the array nums into nums1 = [1,2] and nums2 = [3,4]. - The maximum element of the array nums1 is equal to 2. - The minimum element of the array nums2 is equal to 3. The value of the partition is |2 - 3| = 1. It can be proven that 1 is the minimum value out of all partitions.
Example 2
Input: nums = [100,1,10]
Output: 9
Explanation: We can partition the array nums into nums1 = [10] and nums2 = [100,1]. - The maximum element of the array nums1 is equal to 10. - The minimum element of the array nums2 is equal to 1. The value of the partition is |10 - 1| = 9. It can be proven that 9 is the minimum value out of all partitions.
Constraints
- 2 <= nums.length <= 10^5
- 1 <= nums[i] <= 10^9
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