Introduction to Python

Type of a triangle

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There are 3 types of triangles:

  1. Equilateral: All 3 sides are equal

  2. Isosceles: Only 2 sides are equal

  3. Scalene: None of the sides are equal

Given 3 sides of a triangle, your task is to determine the type of the triangle.

In case it’s impossible to construct a triangle, the program should print Invalid triangle.

Input

Output

2
3
6

Invalid triangle

3
3
3

Equilateral

2
8
8

Isosceles

10
8
9

Scalene

Note that a triangle is considered invalid if the sum of any two sides is less than or equal to the third side.

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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