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You are given a list of integers nums and an integer n. Given you must remove exactly n numbers, return the least number of unique integers after the removals.

Constraints

  • n ≤ 100,000 where n is the length of items

https://binarysearch.com/problems/Minimize-Number-of-Unique-Integers-After-Removals

Examples

Example 1

Input

  • items = [1, 1, 1, 0, 0]
  • n = 2

Output

  • answer = 1

Explanation

We can delete the two 0s to get 1s. Then there’s only 1 unique ID left.

Example 2

Input

  • items = [0, 0, 1, 1, 2, 3]
  • n = 2

Output

  • answer = 2

Explanation

We can delete the 2 and the 3 to get [0, 0, 1, 1]. Then there’s only 2 unique ID left.

Solution

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