It is known that there are k fish species in the polar ocean, numbered from 1 to k. They are sorted by non-decreasing order of their weight, which is a positive number. Let the weight of the i-th type of fish be wi, then 0 < w1 ≤ w2 ≤ ... ≤ wk holds.

Polar bears Alice and Bob each have caught some fish, and they are guessing who has the larger sum of weight of the fish he/she's caught. Given the type of the fish they've caught, determine whether it is possible that the fish caught by Alice has a strictly larger total weight than Bob's. In other words, does there exist a sequence of weights wi (not necessary integers), such that the fish caught by Alice has a strictly larger total weight?

Input

The first line contains three integers n, m, k (1 ≤ n, m ≤ 105, 1 ≤ k ≤ 109) — the number of fish caught by Alice and Bob respectively, and the number of fish species.

The second line contains n integers each from 1 to k, the list of fish type caught by Alice. The third line contains m integers each from 1 to k, the list of fish type caught by Bob.

Note that one may have caught more than one fish for a same species.

Output

Output "YES" (without quotes) if it is possible, and "NO" (without quotes) otherwise.

Examples

Input

3 3 3
2 2 2
1 1 3


Output

YES


Input

4 7 9
5 2 7 3
3 5 2 7 3 8 7


Output

NO

Note

In the first sample, if w1 = 1, w2 = 2, w3 = 2.5, then Alice has a total of 2 + 2 + 2 = 6 weight units, while Bob only has 1 + 1 + 2.5 = 4.5.

In the second sample, the fish that Alice caught is a subset of Bob's. Therefore, the total weight of Bob’s fish is always not less than the total weight of Alice’s fish.

import static java.lang.Math.*;
import static java.util.Arrays.*;

import java.io.*;
import java.math.BigInteger;
import java.util.*;

public class Main {

    public static void main(String[] args) throws IOException {
        new Main().run();
    }
    StreamTokenizer in;
    PrintWriter out;
    //deb////////////////////////////////////////////////

    public static void deb(String n, Object n1) {
        System.out.println(n + " is : " + n1);
    }

    public static void deb(int[] A) {

        for (Object oo : A) {
            System.out.print(oo + " ");
        }
        System.out.println("");
    }

    public static void deb(long[] A) {

        for (Object oo : A) {
            System.out.print(oo + " ");
        }
        System.out.println("");
    }

    public static void deb(BigInteger[] A) {

        for (Object oo : A) {
            System.out.print(oo + " ");
        }
        System.out.println("");
    }

    public static void deb(int[][] A) {
        for (int i = 0; i < A.length; i++) {
            for (Object oo : A[i]) {
                System.out.print(oo + " ");
            }
            System.out.println("");
        }

    }

    public static void deb(long[][] A) {
        for (int i = 0; i < A.length; i++) {
            for (Object oo : A[i]) {
                System.out.print(oo + " ");
            }
            System.out.println("");
        }

    }

    public static void deb(String[][] A) {
        for (int i = 0; i < A.length; i++) {
            for (Object oo : A[i]) {
                System.out.print(oo + " ");
            }
            System.out.println("");
        }

    }
    /////////////////////////////////////////////////////////////

    int nextInt() throws IOException {
        in.nextToken();
        return (int) in.nval;
    }

    long nextLong() throws IOException {
        in.nextToken();
        return (long) in.nval;
    }

    class Pair<X, Y> {

        public X x;
        public Y y;

        public Pair(X x, Y y) {
            this.x = x;
            this.y = y;
        }

        public void setX(X x) {
            this.x = x;
        }

        public void setY(Y y) {
            this.y = y;
        }
    }

    boolean inR(int x, int y) {
        return (x >= 0) && (x < nn) && (y >= 0) && (y < nn);
    }
    static int nn;

     void run() throws IOException {
        //  in = new StreamTokenizer(new BufferedReader(new FileReader("circles.in")));
        //  out = new PrintWriter(new FileWriter("circles.out"));
        in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
        out = new PrintWriter(new OutputStreamWriter(System.out));
        solve();
        out.flush();
    }

    void solve() throws IOException {
        //   BufferedReader re= new BufferedReader(new FileReader("C:\\Users\\ASELA\\Desktop\\A.in"));
        BufferedReader re = new BufferedReader(new InputStreamReader(System.in));
        // Scanner sc= new Scanner(System.in);
   int a=nextInt(),b=nextInt(),k=nextInt();
 int[] A= new int[a];
  int[] B= new int[b];
        for (int i = 0; i < a; i++) {
            A[i]=nextInt();
        }
        for (int i = 0; i < b; i++) {
            B[i]=nextInt();
        }
        sort(A);
        sort(B);
    int ap=a-1,bp=b-1;  
    while(ap>=0&&bp>=0){
    if(A[ap]>B[bp]){
        System.out.println("YES");
        return;
    }
    else {
    ap--;bp--;
    }
    
    }
    if(ap>=0)
            System.out.println("YES");
    else
            System.out.println("NO");
    
    }
    
}