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;
import java.util.stream.Stream;

public class Main {
    public static void main(String[] args) {
        // 入力処理
        Scanner sc = new Scanner(System.in);

        int[] houses = Stream.of(sc.nextLine().split(" ")).mapToInt(Integer::parseInt).toArray();

        int min;
        int max;
        if (houses[0] < houses[1]) {
            min = houses[0];
            max = houses[1];
        } else {
            min = houses[1];
            max = houses[0];
        }

        for (int i = min; i <= max; i++) {
            if (i == houses[2]) {
                System.out.println("Yes");
                return;
            }
        }

        System.out.println("No");
    }
}
