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Contest: Task: Related: TaskB

Score : $100$ points

Problem Statement

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?

Constraints

  • $0 \le X \le 100$
  • $0 \le Y \le 100$
  • $X \neq Y$
  • $X$ and $Y$ are integers.

Input

Input is given from Standard Input in the following format:

$X$ $Y$

Output

If the team which is behind can turn the tables with a successful three-point goal, print Yes; otherwise, print No.

Sample Input 1

3 5

Sample Output 1

Yes

The team with $3$ points is behind.
After a successful $3$-point goal, it will have $6$ points, which is greater than that of the other team - $5$.
Thus, we should print Yes.

Sample Input 2

16 2

Sample Output 2

No

The gap is too much. The team which is behind cannot overtake the other by getting $3$ points.

Sample Input 3

12 15

Sample Output 3

No

A $3$-point goal will tie the score but not turn the tables.