You are given an integer array nums containing distinct numbers, and you can perform the following operations until the array is empty:

Return an integer denoting the number of operations it takes to make nums empty.

 

Example 1:

Input: nums = [3,4,-1]
Output: 5
Operation Array
1 [4, -1, 3]
2 [-1, 3, 4]
3 [3, 4]
4 [4]
5 []

Example 2:

Input: nums = [1,2,4,3]
Output: 5
Operation Array
1 [2, 4, 3]
2 [4, 3]
3 [3, 4]
4 [4]
5 []

Example 3:

Input: nums = [1,2,3]
Output: 3
Operation Array
1 [2, 3]
2 [3]
3 []

 

Constraints: