#AT1829. A - Rolling Dice

A - Rolling Dice

A - Rolling Dice

Score : $100$ points

Problem Statement

Is it possible to get a sum of $B$ when throwing a die with six faces $1,2,\ldots,6$ $A$ times?

Constraints

  • $1 \leq A \leq 100$
  • $1 \leq B \leq 1000$
  • $A$ and $B$ are integers.

Input

Input is given from Standard Input in the following format:

AA BB

Output

If it is possible to get a sum of $B$, print Yes; otherwise, print No.


2 11
Yes

There are two ways to get a sum of $11$ when throwing a $6$-faced die twice:

  • getting $6$ in the first throw and $5$ in the second throw;
  • getting $5$ in the first throw and $6$ in the second throw.

2 13
No

There is no way to get a sum of $13$ when throwing a $6$-faced die twice.


100 600
Yes