## Pythagorean TheoremProblem #52 |

Also available in:
Russian

Triangle is called **right** when one of its three angles is **right angle**, equal to 90° - i.e. sides of
this angle are orthogonal.

Such triangles are important since for them the **Pythagorean Theorem** works. Let's recollect it.

Sides, adjacent to the right angle of such triangle, are called **legs** and the third side is **hypotenuse**.
The theorem states that length of hypotenuse is determined by the lengths of legs with simple formula:

```
c^2 = a^2 + b^2
or
c = sqrt(a^2 + b^2)
```

Where `c`

is the length of hypotenuse, while `a`

and `b`

are lengths of legs.

Famous example of the right triangle is one with sides of `3`

, `4`

and `5`

units. Really, for them theorem holds:

```
5^2 = 3^2 + 4^2
or
25 = 9 + 16
```

In this task you will use this theorem to write a program which could determine, whether the triangle is right,
or it is **acute**, or **obtuse**:

- for acute triangle its longest side is shorter than hypotenuse should be;
- for obtuse triangle its longest side is longer than hypotenuse should be.

**Input data** contains the number of triangles in the first line.

Next lines describe one triangle each. Descriptions consist of three values - lengths of sides. Largest value would
always be the last of three for simplicity.

**Answers** should have one of the letters `R`

(right), `A`

(acute) or `O`

(obtuse) for each of triangles. Letters
should be separated by spaces.

Example:

```
input data:
3
6 8 9
9 12 15
16 12 22
answer:
A R O
```

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