Given three points A(xA,yA),B(xB,yB),C(xC,yC). Determine if the type of the triangle formed by these points (right, acute, obtuse). It is guaranteed that A,B,C are not collinear.
### Input
- A single line contains six integers xA,yA,xB,yB,xC,yC.
### Output
- Print:
+ RIGHT if it is a right triangle.
+ ACUTE if it is an acute triangle.
+ OBTUSE if it is an obtuse triangle.
### Constraints
- −109≤x,y≤109.
### Example
Input:
0005-17
Output:
OBTUSE