On the Way

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

inputFormat

Input

Input is given from Standard Input in the following format:

A B C

outputFormat

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

样例

10 2 4

Yes