Problem Description

Given the lengths of three segments \(a, b, c\), which are positive integers not exceeding 10000. We plan to form a triangle with these three segments. What kind of triangle can it be?

• If the three segments cannot form a triangle, output Not triangle.
• If it is a right triangle, output Right triangle.
• If it is an acute triangle, output Acute triangle.
• If it is an obtuse triangle, output Obtuse triangle.
• If it is an isosceles triangle, output Isosceles triangle.
• If it is an equilateral triangle, output Equilateral triangle.

If the triangle meets multiple conditions, output them in the order listed above, separated by newline characters.

Input Format

Input consists of 3 integers \(a\), \(b\), and \(c\).

Output Format

Output several lines of judgment strings.

Sample Input and Output

Sample Input #1

3 3 3

Sample Output #1

Acute triangle
Isosceles triangle
Equilateral triangle

Sample Input #2

3 4 5

Sample Output #2

Right triangle

Sample Input #3

6 10 6

Sample Output #3

Obtuse triangle
Isosceles triangle

Sample Input #4

1 14 5

Sample Output #4

Not triangle

Notes

When the sum of the squares of the two shorter sides is greater than the square of the longest side, it indicates an acute triangle.

When the sum of the squares of the two shorter sides equals the square of the longest side, it indicates a right triangle.

When the sum of the squares of the two shorter sides is less than the square of the longest side, it indicates an obtuse triangle.

见题面 Input 部分

见题面 Output 部分