9689: ABC188 —— A - Three-Point Shot
[Creator : ]
Description
A basketball game is being played, and the score is now $X$\-$Y$. Here, it is guaranteed that $X \neq Y$.
Can the team which is behind turn the tables with a successful three-point goal?
In other words, if the team which is behind earns three points, will its score become strictly greater than that of the other team?
Can the team which is behind turn the tables with a successful three-point goal?
In other words, if the team which is behind earns three points, will its score become strictly greater than that of the other team?
Input
Input is given from Standard Input in the following format:
```
$X$ $Y$
```
```
$X$ $Y$
```
Output
If the team which is behind can turn the tables with a successful three-point goal, print `Yes`; otherwise, print `No`.
Constraints
- $0 \le X \le 100$
- $0 \le Y \le 100$
- $X \neq Y$
- $X$ and $Y$ are integers.
- $0 \le Y \le 100$
- $X \neq Y$
- $X$ and $Y$ are integers.
Sample 1 Input
3 5
Sample 1 Output
Yes
The team with 3 points is behind.
After a successful 3-point goal, it will have 66 points, which is greater than that of the other team - 5.
Thus, we should print Yes.
After a successful 3-point goal, it will have 66 points, which is greater than that of the other team - 5.
Thus, we should print Yes.
Sample 2 Input
16 2
Sample 2 Output
No
The gap is too much. The team which is behind cannot overtake the other by getting 3 points.
Sample 3 Input
12 15
Sample 3 Output
No
A 3-point goal will tie the score but not turn the tables.