Write a C$++$ program that takes the lengths of three sides of a triangle as input from the

user. The program should determine and display the type of the triangle:

$$ Equilateral: All three sides are equal.

$$ Isosceles: Exactly two sides are equal.

$$ Scalene: All three sides are different.

$$ Not a Triangle: The sum of the lengths of any two sides must be greater than the

length of the remaining side; if this condition is not satisfied, the input does not form

a triangle.

Requirements:

$$ Use selection statements to classify the triangle based on the side lengths.

$$ Include a check to ensure the side lengths form a valid triangle before determining

its type.