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1481. Least Number of Unique Integers after K Removals.md

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Given an array of integers arr and an integer k. Find the least number of unique integers after removing exactly k elements.

Example 1:

Input: arr = [5,5,4], k = 1
Output: 1
Explanation: Remove the single 4, only 5 is left.

Example 2:

Input: arr = [4,3,1,1,3,3,2], k = 3
Output: 2
Explanation: Remove 4, 2 and either one of the two 1s or three 3s. 1 and 3 will be left.

Constraints:

  • 1 <= arr.length <= 10^5
  • 1 <= arr[i] <= 10^9
  • 0 <= k <= arr.length

Solution

  • mine
    • Java

      Runtime: 56 ms, faster than 50.00%, Memory Usage: 88.8 MB, less than 50.00% of Java online submissions

      //O(N)time O(N)space
      public int findLeastNumOfUniqueInts(int[] arr, int k) {
          Map<Integer, Integer> map = new HashMap<>();
          //record element count
          int[] res = new int[arr.length + 1];
          for (int a : arr) {
              int t = map.getOrDefault(a, 0);
              if (t != 0) {
                  //let count is t down
                  res[t]--;
              }
              map.put(a, t + 1);
              //let count is t+1 up
              res[t + 1]++;
          }
          int count = 0;
          for (int i = 1; i < res.length; i++) {
              if (res[i] == 0) {
                  continue;
              }
              //res[i] is element count is i;
              //so res[i] * i  is the element count is i
              int c = res[i] * i;
              if (k >= c) {
                  k -= c;
              } else {
                  //[3,3,3]  2    
                  //remove k/i =  2 / 3 = 0 
                  count += res[i] - k / i;
                  k = 0;
              }
          }
          return count;
      }