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Problems

The triangle

The triangle

In Euclidean geometry, triangles can be divided into three types depending on the values of their angles. The triangle is acute if all its three angles are less than 90 degrees. The triangle is obtuse, if one of its angles is greater than 90 degrees. Finally, a triangle is right if one of its angles equals to 90 degrees.

Input

Three positive integers A,B, C, separated with one space, are given in one line. Theyare the lengths of triangle's sides. (1 A, B, C 10000)

Output

One of the words must be printed:

  • "IMPOSSIBLE" – if such triangle does not exist;
  • "ACUTE" – if the triangle is acute;
  • "OBTUSE" – if the triangle is obtuse;
  • "RIGHT" – if the triangle is right.
Time limit 1 seconds
Memory limit 122.17 MiB
Input example #1
3 4 5
Output example #1
RIGHT
Input example #2
3 4 4
Output example #2
ACUTE
Input example #3
3 4 6
Output example #3
OBTUSE
Input example #4
7 4 3
Output example #4
IMPOSSIBLE