using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace RsAssginment2Triangle
{
    /// <summary>
    /// Class responsable to know the rules of a triangle
    /// </summary>
    public static class TriangleSolver
    {
        /// <summary>
        /// Value used to identify a scalene triangle
        /// </summary>
        public const string SCALENE = "scalene";
        /// <summary>
        ///  Value used to identify a isosceles triangle
        /// </summary>
        public const string ISOSCELES = "isosceles";
        /// <summary>
        ///  Value used to identify a equilateral triangle
        /// </summary>
        public const string EQUILATERAL = "equilateral";
        /// <summary>
        ///  Value used to identify a non triangle dimensions given
        /// </summary>
        public const string NON_TRIANGULE = "non triangle";

        /// <summary>
        /// Method that analyze if three dimensions form a valid triangle and identify which type
        /// of triangle is it.
        /// </summary>
        /// <param name="a">First dimension</param>
        /// <param name="b">Second dimension</param>
        /// <param name="c">Third dimension</param>
        /// <returns>The name of the triangle type or "non triangle"</returns>
        public static string Analyze(int a, int b, int c)
        {
            string result;

            if (
                (a + b > c && a + c > b && b + c > a)
                &&
                (a > 0 && b > 0 && c > 0))
            {
                if(a == b && b == c)
                {
                    result = EQUILATERAL;
                }else if (a == b || b == c)
                {
                    result = ISOSCELES;
                }else
                {
                    result = SCALENE;
                }
            }else
            {
                result = NON_TRIANGULE;
            }
            return result;
        }

    }
}