Given an array nums of integers, a move consists of choosing any element and decreasing it by 1.
An array A is a zigzag array if either:
- Every even-indexed element is greater than adjacent elements, ie.
A[0] > A[1] < A[2] > A[3] < A[4] > ... - OR, every odd-indexed element is greater than adjacent elements, ie.
A[0] < A[1] > A[2] < A[3] > A[4] < ...
Return the minimum number of moves to transform the given array nums into a zigzag array.
Examples
Example 1
Input: nums = [1,2,3]
Output: 2
We can decrease 2 to 0 or 3 to 1.
Example 2
Input: nums = [9,6,1,6,2]
Output: 4
Constraints
1 <= nums.length <= 10001 <= nums[i] <= 1000