945. Minimum Increment to Make Array Unique - Explanation

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Description

One move increases one entry of nums by 1. Return the fewest moves needed to make every entry distinct. The answer is guaranteed to fit in a signed 32-bit integer.

Example 1:

Input: nums = [0,0,0]

Output: 3

Explanation: Leave one 0 unchanged, increase another to 1, and the last to 2. This takes 0 + 1 + 2 = 3 moves, the minimum needed for three distinct nonnegative values.

Example 2:

Input: nums = [2,2,3]

Output: 2

Explanation: Increase one of the 2s to 4, leaving values [2,4,3], for two moves. One move would only create another duplicate value 3.

Example 3:

Input: nums = [5]

Output: 0

Explanation: The only entry is already unique, so no move is needed.

Constraints:

  • 1 <= nums.length <= 100000
  • 0 <= nums[i] <= 100000
  • The answer fits in a signed 32-bit integer.


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