Problem Statement

The AtCoder railway line has $N stations, numbered 1, 2, \ldots, N$.
On this line, there are inbound trains that start at station 1 and stop at the stations $2, 3, \ldots, N$ in order, and outbound trains that start at station N and stop at the stations $N - 1, N - 2, \ldots, 1$ in order.
Takahashi is about to travel from station X to station Y using only one of the inbound and outbound trains.
Determine whether the train stops at station Z during this travel.

Input

The input is given from Standard Input in the following format:
N X Y Z

Output

If the train stops at station Z during the travel from station X to station Y, print Yes; otherwise, print No.

Constraints

• $3 \leq N \leq 100$
• $1 \leq X, Y, Z \leq N$
• X, Y, and Z are distinct.
• All input values are integers.

Sample Input 1

7 6 1 3

Sample Output 1

Yes

To travel from station 6 to station 1, Takahashi will take an outbound train.
After departing from station 6, the train stops at stations 5, 4, 3, 2, 1 in order, which include station 3, so you should print Yes.

Sample Input 2

10 3 2 9

Sample Output 2

No

Sample Input 3

100 23 67 45

Sample Output 3

Yes

见题面 Input 部分

见题面 Output 部分