Score : 200 points

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