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| 1 | +# 1481. Least Number of Unique Integers after K Removals |
| 2 | + |
| 3 | +- Difficulty: Medium. |
| 4 | +- Related Topics: Array, Hash Table, Greedy, Sorting, Counting. |
| 5 | +- Similar Questions: . |
| 6 | + |
| 7 | +## Problem |
| 8 | + |
| 9 | +Given an array of integers `arr` and an integer `k`. Find the **least number of unique integers** after removing **exactly** `k` elements**.** |
| 10 | + |
| 11 | + |
| 12 | + |
| 13 | + |
| 14 | + |
| 15 | +Example 1: |
| 16 | + |
| 17 | +``` |
| 18 | +Input: arr = [5,5,4], k = 1 |
| 19 | +Output: 1 |
| 20 | +Explanation: Remove the single 4, only 5 is left. |
| 21 | +``` |
| 22 | +Example 2: |
| 23 | + |
| 24 | +``` |
| 25 | +Input: arr = [4,3,1,1,3,3,2], k = 3 |
| 26 | +Output: 2 |
| 27 | +Explanation: Remove 4, 2 and either one of the two 1s or three 3s. 1 and 3 will be left. |
| 28 | +``` |
| 29 | + |
| 30 | + |
| 31 | +**Constraints:** |
| 32 | + |
| 33 | + |
| 34 | + |
| 35 | +- `1 <= arr.length <= 10^5` |
| 36 | + |
| 37 | +- `1 <= arr[i] <= 10^9` |
| 38 | + |
| 39 | +- `0 <= k <= arr.length` |
| 40 | + |
| 41 | + |
| 42 | +## Solution 1 |
| 43 | + |
| 44 | +```javascript |
| 45 | +/** |
| 46 | + * @param {number[]} arr |
| 47 | + * @param {number} k |
| 48 | + * @return {number} |
| 49 | + */ |
| 50 | +var findLeastNumOfUniqueInts = function(arr, k) { |
| 51 | + var map = {}; |
| 52 | + for (var i = 0; i < arr.length; i++) { |
| 53 | + map[arr[i]] = (map[arr[i]] || 0) + 1; |
| 54 | + } |
| 55 | + var nums = Array.from(Object.values(map)); |
| 56 | + nums.sort((a, b) => a - b); |
| 57 | + while (k > 0 && nums.length && k >= nums[0]) { |
| 58 | + k -= nums.shift(); |
| 59 | + } |
| 60 | + return nums.length; |
| 61 | +}; |
| 62 | +``` |
| 63 | + |
| 64 | +**Explain:** |
| 65 | + |
| 66 | +Sort. |
| 67 | + |
| 68 | +**Complexity:** |
| 69 | + |
| 70 | +* Time complexity : O(n * log(n)). |
| 71 | +* Space complexity : O(n). |
| 72 | + |
| 73 | +## Solution 2 |
| 74 | + |
| 75 | +```javascript |
| 76 | +/** |
| 77 | + * @param {number[]} arr |
| 78 | + * @param {number} k |
| 79 | + * @return {number} |
| 80 | + */ |
| 81 | +var findLeastNumOfUniqueInts = function(arr, k) { |
| 82 | + var map = {}; |
| 83 | + var nums = Array(arr.length + 1).fill(0); |
| 84 | + for (var i = 0; i < arr.length; i++) { |
| 85 | + if (map[arr[i]] === undefined) { |
| 86 | + map[arr[i]] = 1; |
| 87 | + } else { |
| 88 | + nums[map[arr[i]]] -= 1; |
| 89 | + map[arr[i]] += 1; |
| 90 | + } |
| 91 | + nums[map[arr[i]]] += 1; |
| 92 | + } |
| 93 | + var num = 0; |
| 94 | + for (var j = 0; j < nums.length; j++) { |
| 95 | + if (k > 0) { |
| 96 | + var tmp = nums[j]; |
| 97 | + nums[j] = Math.max(0, nums[j] - Math.floor(k / j)); |
| 98 | + k -= tmp * j; |
| 99 | + } |
| 100 | + num += nums[j]; |
| 101 | + } |
| 102 | + return num; |
| 103 | +}; |
| 104 | +``` |
| 105 | + |
| 106 | +**Explain:** |
| 107 | + |
| 108 | +Counting sort. |
| 109 | + |
| 110 | +**Complexity:** |
| 111 | + |
| 112 | +* Time complexity : O(n). |
| 113 | +* Space complexity : O(n). |
| 114 | + |
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