Triangle Classification

Given three line segments with lengths \(a\), \(b\), and \(c\) (each a positive integer not greater than 10000), determine what type of triangle they can form when joined together. The classification should follow these rules (in the order given):

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

If the triangle meets more than one condition, output each corresponding result in the above order on a separate line.

inputFormat

The input consists of a single line containing three space-separated positive integers \(a\), \(b\), and \(c\) (all \(\leq 10000\)).

outputFormat

Output the classification result(s) following the rules described. If multiple classifications apply, output each on a new line.

sample

3 4 5

Right triangle