They will alternately do the following operation.
Pick 4 integers and
, where
, and draw a straight segment between point
and point
. The segment shouldn't overlap with a segment that already exists.
In any time, the segments shouldn't form a polygon. That is, there exists no sequence of distinct points satisfying for each integer
,there is a segment between
and
.
The input consists of one line containing two integersand
.
Print "YES"(without quote) if ZYT can win and "NO"(without quote) if ZYT can't.
It is guaranteed that.