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 sc = new Scanner(System.in);
		String input = sc.nextLine();
		int listI[] = splitStringToArrayOfInt(input);
		String result ="No";
		if(listI[0] > listI[2]) {
			if(listI[2] > listI[1] ) {
				result = "Yes";
			}
		}else {
			if(listI[1] > listI[2] ) {
				result = "Yes";
			}
		}
		System.out.println(result);
	}

	private static int[] splitStringToArrayOfInt(String input) {
		return Arrays.stream(input.split(" ")).filter(s -> !s.isEmpty()).mapToInt(Integer::parseInt).toArray();
	}
}