You are given an integer array `nums` (0-indexed). In one operation, you can choose an element of the array and increment it by `1`.

- For example, if `nums = [1,2,3]`, you can choose to increment `nums[1]` to make `nums = [1,3,3]`.

Return the minimum number of operations needed to make `nums` strictly increasing.

An array `nums` is strictly increasing if `nums[i] < nums[i+1]` for all `0 <= i < nums.length - 1`. An array of length `1` is trivially strictly increasing.

Example 1:

    Input: nums = [1,1,1]

    Output: 3

    Explanation: You can do the following operations:

    1) Increment nums[2], so nums becomes [1,1,2].

    2) Increment nums[1], so nums becomes [1,2,2].

    3) Increment nums[2], so nums becomes [1,2,3].

Example 2:

    Input: nums = [1,5,2,4,1]

    Output: 14

Example 3:

    Input: nums = [8]

    Output: 0

Constraints:

- `1 <= nums.length <= 5000`
- `1 <= nums[i] <= 104`