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.BufferedReader;
import java.io.InputStreamReader;

public class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
//		String line = reader.readLine();
		String[] str = reader.readLine().split(" ");
		int[] ab = new int[str.length];
		for (int i = 0; i < str.length; i++) {
			ab[i] = Integer.parseInt(str[i]);
		}
		if ((ab[0] > ab[2] && ab[2] > ab[1]) || (ab[0] < ab[2] && ab[2] < ab[1])) {
			System.out.println("Yes");
		}
		else {
			System.out.println("No");
		}
	}
}