Decrease Elements To Make Array Zigzag
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, i.e.
A[0] > A[1] < A[2] > A[3] < A[4] > ... - Or, every odd-indexed element is greater than adjacent elements, i.e.
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.
Example 1
Input
nums = [1,2,3]Output
2We can decrease 2 to 0 or 3 to 1.
Example 2
Input
nums = [9,6,1,6,2]Output
4The minimum number of decreases needed to make the array zigzag is 4.
Constraints
- 1 <= nums.length <= 1000
- 1 <= nums[i] <= 1000