100 atcoder#ABC188A. [ABC188A] Three-Point Shot

[ABC188A] Three-Point Shot

Score : 100100 points

Problem Statement

A basketball game is being played, and the score is now XX-YY. Here, it is guaranteed that XYX \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

  • 0X1000 \le X \le 100
  • 0Y1000 \le Y \le 100
  • XYX \neq Y
  • XX and YY are integers.

Input

Input is given from Standard Input in the following format:

XX YY

Output

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

3 5
Yes

The team with 33 points is behind. After a successful 33-point goal, it will have 66 points, which is greater than that of the other team - 55. Thus, we should print Yes.

16 2
No

The gap is too much. The team which is behind cannot overtake the other by getting 33 points.

12 15
No

A 33-point goal will tie the score but not turn the tables.