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Problem C
The Triangle Factory

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Tristian works at a triangle factory. His job is to classify different types of triangles produced in the factory. Tristian now asks you to write a program that can replace him.

Tristian will give you three positive integers, $a$, $b$, and $c$. These are the three angles of a triangle, given in degrees.

Your program should do the following:

  • If the triangle is obtuse, the program should print “Trubbig Triangel”.

  • If the triangle is acute, the program should print “Spetsig Triangel”.

  • If the triangle is right-angled, the program should print “Ratvinklig Triangel”.

To remind you of the definitions of obtuse, acute, and right-angled triangles:

  • A triangle is obtuse if any of its angles are greater than $90$ degrees.

  • A triangle is acute if all its angles are less than $90$ degrees.

  • A triangle is right-angled if one of its angles is exactly $90$ degrees.

Input

The first line of input contains the integer $a$ $(1 \leq a < 180)$, the first angle of the triangle. The second line of input contains the integer $b$ $(1 \leq b < 180)$, the second angle of the triangle. The third line of input contains the integer $c$ $(1 \leq c < 180)$, the third angle of the triangle.

It is guaranteed that $(1 \leq a, b, c < 180)$ holds. It is also guaranteed that the input forms a valid triangle, meaning $a + b + c = 180$.

Output

The program should then print whether the triangle formed by the angles $a$, $b$, and $c$ is acute, obtuse, or right-angled. The answer must be one of the following: “Trubbig Triangel”, “Spetsig Triangel”, or “Ratvinklig Triangel”.

Scoring

Your solution will be tested on a set of test groups, each worth a number of points. Each test group contains a set of test cases. To get the points for a test group you need to solve all test cases in the test group.

Group

Points

Constraints

$1$

$100$

No additional constraints.

Sample Input 1 Sample Output 1
100
40
40
Trubbig Triangel
Sample Input 2 Sample Output 2
60
40
80
Spetsig Triangel
Sample Input 3 Sample Output 3
30
60
90
Ratvinklig Triangel

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