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;

class Main {

  public static void main(String[] args) {
    Scanner scanner = new Scanner(System.in);
    int A = scanner.nextInt();
    int B = scanner.nextInt();
    int C = scanner.nextInt();
    if (A > B) {
      int tmp = A;
      A = B;
      B = tmp;
    }
    for (int i = A; i < B; i++) {
      if (i == C) {
        System.out.println("Yes");
        return;
      }
    }
    System.out.println("No");
  }

}
