You are given an integer array nums. In one operation, you can select a subarray and replace it with a single element equal to its maximum value.

Return the maximum possible size of the array after performing zero or more operations such that the resulting array is non-decreasing.

 

Example 1:

Input: nums = [4,2,5,3,5]

Output: 3

Explanation:

One way to achieve the maximum size is:

  1. Replace subarray nums[1..2] = [2, 5] with 5 → [4, 5, 3, 5].
  2. Replace subarray nums[2..3] = [3, 5] with 5 → [4, 5, 5].

The final array [4, 5, 5] is non-decreasing with size 3.

Example 2:

Input: nums = [1,2,3]

Output: 3

Explanation:

No operation is needed as the array [1,2,3] is already non-decreasing.

 

Constraints: