Belonging of a point to an interval

Giriş

The first line of the input contains two integers representing the coordinates of point $C$. The following two lines, each in the same format, provide the coordinates for points $A$ and $B$ (A \neq B). All coordinate values are integers and do not exceed $10000$ in absolute value.

Çykyş

On the first line, print YES if point $C$ lies on the line through $A$ and $B$, otherwise print NO. On the second line, print YES if point $C$ lies on the ray starting at $A$ and passing through $B$, otherwise print NO. On the third line, print YES if point $C$ lies on the segment between $A$ and $B$, otherwise print NO.

Mysallar