Write a Python code to check a triangle is valid or not. If it is valid, the result should indicate the type of triangle (equilateral, isosceles, or scalene)

* The length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides

** An equilateral triangle is a triangle in which all three sides are equal.

A scalene triangle is a triangle that has three unequal sides.

An isosceles triangle is a triangle with (at least) two equal sides

Sample Input

Enter the length of first side: 5

Enter the length of second side: 4

Enter the length of third side: 6

Expected Output

The triangle is valid. Scalene Triangle.