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 sys
from collections import deque
import copy
import math
def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline



def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [A, B, C] = [int(input_raw[0]), int(input_raw[1]), int(input_raw[2])]
    if A < B and A < C and C < B:
        print "Yes"
        return
    if B < A and A > C and B < C:
        print "Yes"
        return
    print "No"



if __name__ == '__main__':
    main()
