There are three houses on a number line: House 1, 2 and 3, with coordinates A, B and C, respectively. Print `Yes` if we pass the coordinate of House 3 on the straight way from House 1 to House 2 without making a detour, and print `No` otherwise.

Constraints

* 0\leq A,B,C\leq 100
* A, B and C are distinct integers.

Input

Input is given from Standard Input in the following format:


A B C


Output

Print `Yes` if we pass the coordinate of House 3 on the straight way from House 1 to House 2 without making a detour, and print `No` otherwise.

Examples

Input

3 8 5


Output

Yes


Input

7 3 1


Output

No


Input

10 2 4


Output

Yes


Input

31 41 59


Output

No
import java.io.*;
public class Main{  
    public static void main(String[] args) throws IOException{
        BufferedReader bf = 
            new BufferedReader(new InputStreamReader(System.in));
        String[] str = bf.readLine().split(" ");
        int A = Integer.parseInt(str[0]),
            B = Integer.parseInt(str[1]),
            C = Integer.parseInt(str[2]);
        boolean b = A < C && C < B || B < C && C < A;
        if(b){
            System.out.println("Yes");
        } else{
            System.out.println("No");
        }
    }
}