Harry Potter is on a mission to destroy You-Know-Who's Horcruxes. The first Horcrux that he encountered in the Chamber of Secrets is Tom Riddle's diary. The diary was with Ginny and it forced her to open the Chamber of Secrets. Harry wants to know the different people who had ever possessed the diary to make sure they are not under its influence.

He has names of n people who possessed the diary in order. You need to tell, for each person, if he/she possessed the diary at some point before or not.

Formally, for a name si in the i-th line, output "YES" (without quotes) if there exists an index j such that si = sj and j < i, otherwise, output "NO" (without quotes).

Input

First line of input contains an integer n (1 ≤ n ≤ 100) — the number of names in the list.

Next n lines each contain a string si, consisting of lowercase English letters. The length of each string is between 1 and 100.

Output

Output n lines each containing either "YES" or "NO" (without quotes), depending on whether this string was already present in the stream or not.

You can print each letter in any case (upper or lower).

Examples

Input

6
tom
lucius
ginny
harry
ginny
harry


Output

NO
NO
NO
NO
YES
YES


Input

3
a
a
a


Output

NO
YES
YES

Note

In test case 1, for i = 5 there exists j = 3 such that si = sj and j < i, which means that answer for i = 5 is "YES".
import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;

import java.util.*;

public class A_GENERAL {
   
	// for fast output printing  : use printwriter or stringbuilder
	// remember to close pw using pw.close()
	static StringBuilder sb = new StringBuilder();
	static long seive_size = (long) 1e6;
	static String alpha = "abcdefghijklmnopqrstuvwxyz";
    static ArrayList<Integer> primes = new ArrayList<>();
    static boolean[] seive_set = new boolean[(int) seive_size+1];
    static int n, m, k;
    static ArrayList<Integer>[] adj;
    static boolean[] vis;
    static ArrayDeque<Integer> q = new ArrayDeque<>();
    static ArrayDeque<Pair> qq = new ArrayDeque<>();
    static final long MOD = 1000000007;
    static int[] dx = new int[] {1, 0, -1, 0, 1, -1, 1, -1};
    static int[] dy = new int[] {0, 1, 0, -1, -1, 1, 1, -1};
    static long[][] arr;
    static int[] rank;
    static int[] parent;

    public static void main(String[] args) throws FileNotFoundException {
		PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out));
		MyScanner sc = new MyScanner();
		n = sc.nextInt();
		HashSet<String> set = new HashSet<>();
		while(n-- > 0) {
			String s = sc.next();
			out.println(set.contains(s) ? "YES" : "NO");
			set.add(s);
		}
		out.close();
	}

    public static class Triplet implements Comparable<Triplet> {
		int x;
    	int y;
    	int z;
    	Triplet(int x, int y, int z) {
    		this.x = x;
    		this.y = y;
    		this.z = z;
    	}
    	public int compareTo(Triplet o) {
    		return Integer.compare(this.x, o.x);
    	}
    }
    public static class Pair implements Comparable<Pair>  {
    	int f;
    	int s;
    	Pair(int f, int s) {
    		this.f = f;
    		this.s = s;
    	}
    	public int compareTo(Pair o) {
    		return Integer.compare(this.f,  o.f);
    	}
    }    
	public static class LongPair implements Comparable<LongPair>{
		long f;
		long s;
		LongPair(long f, long s) {
			this.f = f;
			this.s = s;
		}
		public int compareTo(LongPair o) {
			return Long.compare(this.f, o.f);
		}
	}
	public static void init(int n) {
    	adj = new ArrayList[n+1];
    	vis = new boolean[n+1];
    	parent = new int[n+1];
		rank = new int[n+1];
    	for(int i = 0; i <= n; i++) {
    		adj[i] = new ArrayList<>();
    		parent[i] = i;
			rank[i] = 0;
    	}
    }
	// print string "s" multiple times 
	// prefer to use this function for multiple printing
	public static String mp(String s, int times) {
		return String.valueOf(new char[times]).replace("\0", s);
	}
	// take log with base 2
 	public static long log2(long k) {
 		return 63-Long.numberOfLeadingZeros(k);
 	}

 	// using lambda function for sorting
   	public static void lambdaSort() {
   		Arrays.sort(arr, (a, b) -> Double.compare(a[0], b[0]));
   	}
  	
  	// (n choose k) = (n/k) * ((n-1) choose (k-1))
  	public static long choose(long n, long k) {
 		return (k == 0) ? 1 : (n*choose(n-1, k-1))/k;
 	}

 	// just for keeping gcd function for other personal purposes
 	public static long gcd(long a, long b) {
 		return (a == 0) ? b : gcd(b%a, a);
 	}
 	
	public static long max(long... as) {
        long max = Long.MIN_VALUE;
        for (long a : as) max = Math.max(a, max);
        return max;
    }

    public static long min(int... as) {
        long min = Long.MAX_VALUE;
        for (long a : as) min = Math.min(a, min);
        return min;
    }
 	
    public static long modpow(long x, long n, long mod) {
    	if(n == 0) return 1%mod;
    	long u = modpow(x, n/2, mod);
    	u = (u*u)%mod;
    	if(n%2 == 1) u = (u*x)%mod;
    	return u;
    }
 	// ======================= binary search (lower and upper bound) =======================
	public static int lowerBound(long[] a, int x) {
		int lo = 0;
 		int hi = a.length-1;
 		int ans = -1;
 		while(lo <= hi) {
 			int mid = (lo+hi)/2;
 			if(x < a[mid]) {
 				hi = mid-1;
 			} else if(x > a[mid]) {
 				lo = mid+1;
 			} else if(lo != hi) {
 				 hi = mid-1; 		// for first occurrence
 				 ans = mid;
 			} else {
 				return mid;
 			}
 		}
 		return ans;
	}
	
	public static int upperBound(long[] a, long x) {
		int lo = 0;
		int hi = a.length-1;
		int ans = -1;
		while(lo <= hi) {
			int mid = (lo+hi)/2;
			if(x < a[mid]) {
				hi = mid-1;
			} else if(x > a[mid]) {
				lo = mid+1;
			} else if(lo != hi) {
				lo = mid+1;			// for last occurrence
				ans = mid;
			} else {
				return mid;
			}
		}
		return ans;
	}
	// ================================================================

	// ================== SEIVE OF ERATOSTHENES =======================
	// Complexity : O(N * log(log(N)))       ( almost O(N) )
	public static void generatePrimes() {
		// set.add(0);
		// set.add(1);
		Arrays.fill(seive_set, true);
		seive_set[0] = false;
		seive_set[1] = false;
		for(int i = 2; i <= seive_size; i++) {
			if(seive_set[i]) {
				for(long j = (long) i*i; j <= seive_size; j+=i) 
					seive_set[(int)j] = false;
				primes.add(i);
			}
		}
	}
  
	public static boolean isPrime(long N) {
		if(N <= seive_size) return seive_set[(int)N];
		for (int i = 0; i < (int)primes.size(); i++)
			if (N % primes.get(i) == 0) return false;
		return true;
	}
	// ===========================================================
  
 	// ================ Permutation of String ====================
 	public static void permute(String str) {
 		permute(str, 0, str.length()-1);
 	}
 	public static void permute(String str, int l, int r) 
    { 
        if (l == r) 
            System.out.println(str); 
        else
        { 
            for (int i = l; i <= r; i++) 
            { 
                str = swap(str,l,i); 
                permute(str, l+1, r); 
                str = swap(str,l,i); 
            } 
        } 
    }
	public static String swap(String a, int i, int j) 
    { 
        char temp; 
        char[] charArray = a.toCharArray(); 
        temp = charArray[i] ; 
        charArray[i] = charArray[j]; 
        charArray[j] = temp; 
        return String.valueOf(charArray); 
    } 
	// Union-find
	// static int[] parent, rank;
//	public static void makeSet(int n) {
//
//		parent = new int[n+1];
//		rank = new int[n+1];
//		for(int i = 1; i <= n; i++) {
//			parent[i] = i;
//			rank[i] = 0;
//		}
//	}
	public static int find(int u) {

		if(parent[u] == u)	return u;

		int v = find(parent[u]);
		parent[u] = v;
		return v;

	}
	public static boolean connected(int u, int v) {
		return find(u) == find(v);
	}
	public static void Union(int u, int v) {

		int x = find(u);				//root of u
		int y = find(v);				//root of v

		if(x == y)		return;
		if(rank[x] == rank[y]) {
			parent[y] = x;
			rank[x]++;
		}
		else if(rank[x] > rank[y]) {
			parent[y] = x;
		}
		else {
			parent[x] = y;
		}

	}
	
//	public static int dijkstra(int x, int y) {
//    	int[] dist = new int[n+1];
//    	Arrays.fill(dist, Integer.MAX_VALUE);
//    	PriorityQueue<Node> q = new PriorityQueue<>();
//    	q.add(new Node(x, 0));
//    	dist[x] = 0;
//    	while(!q.isEmpty()) {
//    		Node node = q.poll();
//    		int u = node.key;
//    		if(u == y) {
//    			break;
//    		}
//    		for(int v : res[u]) {
//    			if(dist[v] > dist[u]+count[u]) {
//    				dist[v] = dist[u] + count[u];
//    				q.add(new Node(v, dist[v]));
//    			}
//    		}
//    	}
//    	if(dist[y] == Integer.MAX_VALUE) {
//    		return -1;
//    	}
//    	return dist[y];
//    }
	
	public static class MyScanner {
		BufferedReader br;
		StringTokenizer st;
		public MyScanner() {
			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 n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++)
                a[i] = nextInt();
            return a;
        }

        int[] nextIntArray(int n, int delta) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++)
                a[i] = nextInt() + delta;
            return a;
        }

        long[] nextLongArray(int n) {
            long[] a = new long[n];
            for (int i = 0; i < n; i++)
                a[i] = nextLong();
            return a;
        }
	}

}