The only difference between easy and hard versions are constraints on n and k.

You are messaging in one of the popular social networks via your smartphone. Your smartphone can show at most k most recent conversations with your friends. Initially, the screen is empty (i.e. the number of displayed conversations equals 0).

Each conversation is between you and some of your friends. There is at most one conversation with any of your friends. So each conversation is uniquely defined by your friend.

You (suddenly!) have the ability to see the future. You know that during the day you will receive n messages, the i-th message will be received from the friend with ID id_i (1 ≤ id_i ≤ 10^9).

If you receive a message from id_i in the conversation which is currently displayed on the smartphone then nothing happens: the conversations of the screen do not change and do not change their order, you read the message and continue waiting for new messages.

Otherwise (i.e. if there is no conversation with id_i on the screen):

  * Firstly, if the number of conversations displayed on the screen is k, the last conversation (which has the position k) is removed from the screen. 
  * Now the number of conversations on the screen is guaranteed to be less than k and the conversation with the friend id_i is not displayed on the screen. 
  * The conversation with the friend id_i appears on the first (the topmost) position on the screen and all the other displayed conversations are shifted one position down. 



Your task is to find the list of conversations (in the order they are displayed on the screen) after processing all n messages.

Input

The first line of the input contains two integers n and k (1 ≤ n, k ≤ 200) — the number of messages and the number of conversations your smartphone can show.

The second line of the input contains n integers id_1, id_2, ..., id_n (1 ≤ id_i ≤ 10^9), where id_i is the ID of the friend which sends you the i-th message.

Output

In the first line of the output print one integer m (1 ≤ m ≤ min(n, k)) — the number of conversations shown after receiving all n messages.

In the second line print m integers ids_1, ids_2, ..., ids_m, where ids_i should be equal to the ID of the friend corresponding to the conversation displayed on the position i after receiving all n messages.

Examples

Input


7 2
1 2 3 2 1 3 2


Output


2
2 1 


Input


10 4
2 3 3 1 1 2 1 2 3 3


Output


3
1 3 2 

Note

In the first example the list of conversations will change in the following way (in order from the first to last message):

  * []; 
  * [1]; 
  * [2, 1]; 
  * [3, 2]; 
  * [3, 2]; 
  * [1, 3]; 
  * [1, 3]; 
  * [2, 1]. 



In the second example the list of conversations will change in the following way:

  * []; 
  * [2]; 
  * [3, 2]; 
  * [3, 2]; 
  * [1, 3, 2]; 
  * and then the list will not change till the end. 
import java.util.*;
import java.io.*;
 
//294784RY
 
public class Main {
    public static PrintStream out = new PrintStream(System.out);
    static LinkedList<Integer> adj[];
    static boolean[] vis;
    static final int nINF = Integer.MIN_VALUE;
    static final int INF = Integer.MAX_VALUE;
    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        int n = sc.nextInt();
        int k = sc.nextInt();
        ArrayDeque<Integer> q = new ArrayDeque();
        HashMap<Integer, Integer> map = new HashMap();
        for(int i = 0; i < n; i++){
            int x = sc.nextInt();
            if(map.containsKey(x))
                continue;
            if(q.size() == k){
                int kk = q.pollLast();
                map.remove(kk);
            }
            q.offerFirst(x);
            map.put(x, 1);
        }
        out.println(q.size());
        while(!q.isEmpty()){
            int curr = q.pollFirst();
            out.print(curr + " ");
        }
        
 
    }
    
 
            
    static void initAdj(int n){
        adj = new LinkedList[n + 2];
        for(int i = 0; i <= n + 1; i++)
            adj[i] = new LinkedList();
    }    
    
    static void dfs(int n){
        Iterator<Integer> i = adj[n].listIterator();
        while(i.hasNext()){
            Integer a = i.next();
            if(!vis[a]){
                vis[a] = true;
                dfs(a);
            }
        }
    }
    
     static long fastPower(long x, int y) {
        long result = 1;
        while (y > 0) {
            if ((y & 1) == 0) {
                x *= x;
                y >>>= 1;
            } else {
                result *= x;
                y--;
            }
        }
        return result;
    }
     
    static ArrayList<Integer> moveToFront(ArrayList<Integer> list, int num){
        //int item = list.indexOf(num);
        int index = list.indexOf(num);
        list.remove(index);
        list.add(0, num);
        return list;
    }
    
    static ArrayList<Integer> sieve(int n){
        boolean prime[] = new boolean[n+1]; 
        ArrayList<Integer> res = new ArrayList();
        for(int i=0;i<n;i++) 
            prime[i] = true; 
          
        for(int p = 2; p*p <=n; p++) 
        { 
            // If prime[p] is not changed, then it is a prime 
            if(prime[p] == true) 
            { 
                // Update all multiples of p 
                for(int i = p*p; i <= n; i += p) 
                    prime[i] = false; 
            } 
        } 
 
        for(int i = 2; i <= n; i++) 
        { 
            if(prime[i] == true) 
                res.add(i);
        }
        return res;
    }
    
    //returns index; outputs earliest occurence; -1 if target value does not exist
    static int getUpper(int[] arr, int target)  
    {  
        int start = 0, end = arr.length - 1;  
    
        int ans = -1;  
        while (start <= end) {  
            int mid = (start + end) / 2;  
    
            // Move to right side if target is  
            // greater.  
            if (arr[mid] <= target) {  
                start = mid + 1;  
            }  
    
            // Move left side.  
            else {  
                ans = mid;  
                end = mid - 1;  
            }  
        }  
        return ans;  
    }  
    
    //returns index; outputs latest occurence; -1 if target value does not exist
    static int getLower(int[] arr, int target)  
    {  
        int start = 0, end = arr.length-1;  
    
        int ans = -1;  
        while (start <= end) {  
            int mid = (start + end) / 2;  
    
            // Move to the left side if the target is smaller  
            if (arr[mid] >= target) {  
                end = mid - 1;  
            }  
    
            // Move right side  
            else {  
                ans = mid;  
                start = mid + 1;  
            }  
        }  
        return ans;  
    }  
     
   
 
    static String removeLastChar(String ss) {
        if (ss == null || ss.length() == 0) {
            return ss;
        }
        return ss.substring(0, ss.length()-1);
    }
    
    static void solveLunLun(){
        FastScanner sc = new FastScanner();
        Queue<Long> q = new ArrayDeque();
        for(int i = 1; i <= 9; i++){
            q.add((long) i);
        }
        int k = sc.nextInt();
        int cnt = 0;
        long x = 1;
        while(cnt < k){
            x = q.poll();
            cnt++;
            if(cnt >= k) break;
            
            long d = x % (long) 10;
            if(d == 0){
                q.add( (10 * x));
                q.add( (10 * x) + d + 1 );
            }
            else if (d == 9){
                q.add( (10 * x) + d - 1);
                q.add( (10 * x) + d);
            }
            else {
                q.add( (10 * x) + d - 1);
                q.add( (10 * x) + d);
                q.add( (10 * x) + d + 1 );                
            }
        }
        out.println(x);
 
    }
    
    private static int factorial(int n){
            int fac = 1;
            for(int i=2;i<=n;i++){
                    fac *= i;
            }
 
            return fac;
    }
    
    private static boolean isPrime(int n){
            if(n == 0 || n == 1){
                    return false;
            }else if(n%2 == 0){
                    return false;
            }else{
                    int x = (int)(Math.sqrt(n)) + 1;
                    for(int i=3;i<=x;i+=2){
                            if(n % i == 0){
                                    return false;
                            }
                    }
                    return true;
            }
    }
 
    private static long pow(int base,int exp){
            if(exp == 0){
                    return 1;
            }else if(exp == 1){
                    return base;
            }else{
                    long a = pow(base,exp/2);
                    if(exp%2 == 0){
                            return a * a;
                    }else{
                            return a * a * base;
                    }
            }
 
    }
 
    private static int gcd(int a,int b){
            if(a == 0){
                    return b;
            }
 
            return gcd(b%a,a);
    }
 
    private static int lcm(int a,int b){
            return (a * b)/gcd(a,b);
    }
    
 
    
    private static int BSearch(int target, int[] arr){
        int index = -1;
        int l = 0;
        int r = arr.length - 1;
        
        while(l <= r){
            int mid = (l + r) / 2;
            if(arr[mid] <= target){
                index = mid;
                l = mid + 1;
            } else{
                r = mid - 1;    
            }
        }
        
        return index;
    }
        
 
}
 
 
class FastScanner { 
    BufferedReader br; 
    StringTokenizer st; 
 
    public FastScanner() 
    { 
        br = new BufferedReader(new
                 InputStreamReader(System.in)); 
    } 
 
    String next() 
    { 
        while (st == null || !st.hasMoreElements()) 
        { 
            try
            { 
                st = new StringTokenizer(br.readLine()); 
            } 
            catch (IOException  e) 
            { 
                e.printStackTrace(); 
            } 
        } 
        return st.nextToken(); 
    } 
 
    int nextInt() 
    { 
        return Integer.parseInt(next()); 
    } 
 
    long nextLong() 
    { 
        return Long.parseLong(next()); 
    } 
 
    double nextDouble() 
    { 
        return Double.parseDouble(next()); 
    } 
 
    String nextLine() 
    { 
        String str = ""; 
        try
        { 
            str = br.readLine(); 
        } 
        catch (IOException e) 
        { 
            e.printStackTrace(); 
        } 
        return str; 
    } 
 
    int[] nextIntArray(int length) {
       int[] arr = new int[length];
       for (int i = 0; i < length; i++)
           arr[i] = nextInt();
       return arr;
   }
} 
 
class Node
{
    public int V;
    public Node(int v)
    {
        this.V=v;
    }
}

class Pair implements Comparable<Pair>{
    int first;
    int second;
    public Pair(int a, int b){
        first = a;
        second = b;
    }

    @Override
    public int compareTo(Pair t) {
        if(first < t.first) return -1;
        else if(first == t.first) return 0;
        else return 1;
    }
}
 
 
 
//    private static ArrayList<Integer> primeSieve(int n){
//        boolean b[] = new boolean[n+1];
//        b[0] = true;
//        b[1] = true;
//        for(int i=2;i<=5;i++){
//                int j = 2;
//                while(i * j <= n && !b[i]){
//                        b[i * j] = true;
//                        j++;
//                }
//        }
// 
//        ArrayList<Integer> arr = new ArrayList<>();
//        for(int i=2;i<n+1;i++){
//                if(!b[i]){
//                        arr.add(i);
//                }
//        }
// 
//        return arr;
//    }   
 
 
// atcoder 159 D 
//        int n = sc.nextInt();
//        HashMap<Integer, Integer> map = new HashMap();
//        int[] arr = new int[n];
//        int[] freq = new int[200005];
//        for(int i = 0; i < n; i++){
//            int x = sc.nextInt();
//            if(!map.containsKey(x))
//                map.put(x, 1);
//            freq[x]++;
//            arr[i] = x;
//        }
//        long sum = 0;
//        //out.println("map size: " + map.size());
//        for(Map.Entry<Integer,Integer> entry : map.entrySet()){
//            int curr = entry.getKey();
//            int x = freq[curr];
//            double a  = x * ( (double) (x - 1) / 2);
//            sum += (int) a;
//        }
//        //out.println("sum: " + sum);
//        for(int i = 0; i < n; i++){
//            int curr  = arr[i];
//            int oldFreq = freq[curr];
//            double a  = oldFreq * ( (double) (oldFreq - 1) / 2);
//            int newFreq = freq[curr] - 1;
//            double b  = newFreq * ( (double) (newFreq - 1) / 2);
//            long sub = (long) a - (long) b;
//            //out.println("sub: " + sub);
//            out.println(sum - sub);
//        }




// for atcoder 163 F
//        int n = sc.nextInt();
//        Pair[] arr = new Pair[n];
//        for(int i = 0; i < n; i++){
//            Pair a = new Pair(sc.nextInt(), i);
//            arr[i] = a;
//        }
//        Arrays.sort(arr);
//        long sum = 0;
//        int sel = 0;
//        HashMap<Integer, Integer> map = new HashMap();
//
//        for(int i = n - 1; i >= 0; i--){
//
//            if(sel == n / 2)
//                break;
//            if(n == i - 1){
//                map.put(arr[i].second, 1);
//                sum += arr[i].first;
//                sel++;
//                continue;
//            }
//            if(map.containsKey(arr[i].second - 1) || map.containsKey(arr[i].second + 1)){
//                continue;
//            }
//            map.put(arr[i].second, 1);
//            sum += arr[i].first;
//            sel++;
//        }
//        out.println(sum);