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1 | // Author : Saurav Kalsoor | |
2 | - | // Minimize Unique Numbers - JAVA |
2 | + | // Partition - JAVA |
3 | ||
4 | import java.util.*; | |
5 | ||
6 | public class Test { | |
7 | static Scanner sc = new Scanner(System.in); | |
8 | public static void main(String[] args) { | |
9 | int n = sc.nextInt(); | |
10 | - | int k = sc.nextInt(); |
10 | + | int k = sc.nextInt(); |
11 | int x = sc.nextInt(); | |
12 | ||
13 | - | for(int i = 0;i < n; i++){ |
13 | + | |
14 | - | arr.add(sc.nextInt()); |
14 | + | for(int i = 0;i < n; i++){ |
15 | - | } |
15 | + | arr.add(sc.nextInt()); |
16 | } | |
17 | - | System.out.println(minimizeUnique(arr, k)); |
17 | + | |
18 | System.out.println(partition(n, k, x, arr)); | |
19 | } | |
20 | - | public static int minimizeUnique(ArrayList<Integer> arr, int k){ |
20 | + | |
21 | - | HashMap<Integer, Integer> count = new HashMap<>(); |
21 | + | public static int partition(int n, int k, int x, ArrayList<Integer> arr){ |
22 | Collections.sort(arr); | |
23 | - | for(int num : arr){ |
23 | + | int count = 1; |
24 | - | count.put(num, count.getOrDefault(num, 0) + 1); |
24 | + | PriorityQueue<Integer> pq = new PriorityQueue<>(); |
25 | - | } |
25 | + | int i = 1; |
26 | while(i < n){ | |
27 | - | Set<MyPair> st = new TreeSet<>(new Comparator<MyPair>() { |
27 | + | int diff = arr.get(i) - arr.get(i-1); |
28 | - | @Override |
28 | + | if(diff > k){ |
29 | - | public int compare(MyPair a, MyPair b) { |
29 | + | count++; |
30 | - | if(a.second == b.second) |
30 | + | pq.offer(diff); |
31 | - | return a.first - b.first; |
31 | + | } |
32 | - | return a.second - b.second; |
32 | + | i++; |
33 | - | } |
33 | + | } |
34 | - | }); |
34 | + | |
35 | while(!pq.isEmpty() && x > 0){ | |
36 | - | for(Map.Entry<Integer, Integer> x : count.entrySet()){ |
36 | + | int diff = pq.poll(); |
37 | - | st.add(new MyPair(x.getKey(), x.getValue()) ); |
37 | + | int req = (diff - 1)/k; |
38 | - | } |
38 | + | if(x >= req){ |
39 | x -= req; | |
40 | - | int res = st.size(); |
40 | + | count--; |
41 | }else{ | |
42 | - | for(MyPair x : st){ |
42 | + | break; |
43 | - | if(k >= x.second){ |
43 | + | } |
44 | - | res--; |
44 | + | } |
45 | - | k -= x.second; |
45 | + | |
46 | - | }else{ |
46 | + | return count; |
47 | - | break; |
47 | + | |
48 | - | } |
48 | + | |
49 | - | } |
49 | + | |
50 | ||
51 | - | return res; |
51 | + |