Type of triangle

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Problem

(From SPOJ)

Given the lengths of the sides of a triangle, determine its type.

For each set of numbers, print:

right - if the triangle is right
obtuse - if the triangle is obtuse
acute - if the triangle is acute
none - if there is no such triangle

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Sample input:_

7 7 7
3 4 5
10 1 1
4 4 5
0 3 2
30 30 30
12 13 5
0 0 0
9 6 9
21 5 17

Sample output:

acute
right
none
acute
none
acute
right
none
acute
obtuse

Sample input:_

1 5 2
54 55 100
8 7 7
6 10 8
9 0 10
40 38 8
12 13 15
5 9 12
123 78 89
8 8 3

Sample output:

none
obtuse
acute
right
none
obtuse
acute
obtuse
obtuse
acute

Sample input:_

58 11 50
3 10 7
13 8 8
6 4 6
1 2 3
4 4 4
120 0 0
20 21 29
9 41 40
8 6 3

Sample output:

obtuse
none
obtuse
acute
none
acute
none
right
right
obtuse

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