1827 - Minimum Operations to Make the Array Increasing\.

Easy

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:

• Increment nums2, so nums becomes 1,1, **2** .

• Increment nums1, so nums becomes 1, **2** ,2.

• Increment nums2, 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

• <code>1 <= numsi<= 10⁴</code>