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.Arrays;
import java.util.Scanner;

public class Main {
public static void main(String[] args) {
		
		Scanner keyboard = new Scanner(System.in); 
		
		int A = keyboard.nextInt();
		int B = keyboard.nextInt();
		int C = keyboard.nextInt();
		
		String ans;
		
		if(A < C && C < B) {
			ans = "Yes";
		}else {
			if(B < C && C < A) {
				ans = "Yes";
			}else {
				ans = "No";
			}
		}
			System.out.println(ans);
			
		keyboard.close();	
	}
}