945. Minimum Increment to Make Array Unique
https://leetcode.com/problems/minimum-increment-to-make-array-unique/description/
You are given an integer array nums. In one move, you can pick an index i where 0 <= i < nums.length and increment nums[i] by 1.
Return the minimum number of moves to make every value in nums unique.
The test cases are generated so that the answer fits in a 32-bit integer.
Example 1:
Input: nums = [1,2,2] Output: 1 Explanation: After 1 move, the array could be [1, 2, 3].
Example 2:
Input: nums = [3,2,1,2,1,7] Output: 6 Explanation: After 6 moves, the array could be [3, 4, 1, 2, 5, 7]. It can be shown with 5 or less moves that it is impossible for the array to have all unique values.
Constraints:
1 <= nums.length <= 1050 <= nums[i] <= 105
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Intuition
Sort array, we only increment each element to prev element + 1 to get min increments
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Time - O (N log N)
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