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.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        String result = null;
        int a = sc.nextInt();
        int b = sc.nextInt();
        int c = sc.nextInt();

        if(a < b) {
            for(int i = a; i <= b; i++){
                if(i == c) { result = "Yes"; break; }
                else if(i != c){ result = "No"; }
            }
        }

        if(a > b){
            for(int i = a; i >= b; i--){
                if(i == c) { result = "Yes"; break; }
                else{ result = "No"; }
            }
        }

        System.out.println(result);
    }
}