10125: ABC352 —— A - AtCoder Line
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Description
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.
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:
```
$N$ $X$ $Y$ $Z$
```
```
$N$ $X$ $Y$ $Z$
```
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.
- $1 \leq X, Y, Z \leq N$
- $X$, $Y$, and $Z$ are distinct.
- All input values are integers.
Sample 1 Input
7 6 1 3
Sample 1 Output
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 2 Input
10 3 2 9
Sample 2 Output
No
Sample 3 Input
100 23 67 45
Sample 3 Output
Yes