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Minimum Increment to Make Array Unique

You are given an integer array nums.

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.

Minimum Increment to Make Array Unique diagram

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 that it is impossible for the array to have all unique values with 5 or less moves.

Constraints

  • 1 <= nums.length <= 10^5
  • 0 <= nums[i] <= 10^5

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