Problem Statement

Snuke likes integers that are greater than or equal to $A$, and less than or equal to $B$. Takahashi likes integers that are greater than or equal to $C$, and less than or equal to $D$.

Does there exist an integer liked by both people?

Constraints

• $0 \\leq A \\leq B \\leq 10^{18}$
• $0 \\leq C \\leq D \\leq 10^{18}$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$A$ $B$ $C$ $D$

Output

Print Yes or No.

Sample Input 1

10 30 20 40

Sample Output 1

Yes

For example, both like $25$.

Sample Input 2

10 20 30 40

Sample Output 2

No