using System;

using System.Collections.Generic;

using System.Linq;

public class Program

{

    public static void Main()

    {

        var input = @"

rectangle 3 4

square 5

triangle 5 3

circle 6

circle -2

rectangle 2.5 7

        ";

        var shapes = new ShapeParser().ParseShapes(input);

        new ShapeWriter(Console.Out).WriteShapes(shapes.Where(x => x.IsValid()).OrderByDescending(x => x.GetArea()));

​

    }

    public class ShapeWriter

    {

        private System.IO.TextWriter writer;

        public ShapeWriter(System.IO.TextWriter writer)

        {

            this.writer = writer;

        }

        public void WriteShapes(IEnumerable<IShape> shapes)

        {

            foreach (var shape in shapes)

            {

                writer.Write($"{shape.GetName()} {shape.GetArea()} {Environment.NewLine}");

            }

        }

    }

    public class ShapeParser

    {

        public IEnumerable<IShape> ParseShapes(string input)

        {

            var shapes = new System.Collections.Generic.List<IShape>();

            foreach (var shape in input.Split(Environment.NewLine))

            {

                var parts = shape.Trim(' ').Split(' ');

                double partOne = 0.0;

                double partTwo = 0.0;

                if (parts.Length > 1)

                    Double.TryParse(parts[1], out partOne);

                if (parts.Length > 2)

                    Double.TryParse(parts[2], out partTwo);

                switch (parts[0].ToLower())

                {

                    case "rectangle": 

                        shapes.Add(new Rectangle(partOne, partTwo));

                        break;

                    case "square": 

                        shapes.Add(new Square(partOne));

                        break;

                    case "circle": 

                        shapes.Add(new Circle(partOne));

                        break;

                    case "triangle": 

                        shapes.Add(new Triangle(partOne, partTwo));

                        break;

                    default: break;

                }                       

            }

            return shapes;

        }       

    }

    public interface IShape

    {

        public double GetArea();

        public bool IsValid();

        public string GetName();

    }

    public record Circle(double diameter) : IShape

    {

        public double GetArea()

        {

            return Math.PI * Math.Pow((diameter/2), 2);

        }

        public bool IsValid()

        {

            return diameter > 0;

        }

        public string GetName()

        {

            return "circle";

        }

    }

    public record Square(double width) : IShape

    {

        public double GetArea()

        {

            return Math.Pow(width, 2);

        }

        public bool IsValid()

        {

            return width > 0;

        }

        public string GetName()

        {

            return "square";

        }

    }

    public record Rectangle(double height, double width) : IShape

    {

        public double GetArea()

        {

            return height * width;

        }

        public bool IsValid()

        {

            return height > 0 && width > 0;

        }

        public string GetName()

        {

            return "rectangle";

        }

    }

    public record Triangle(double width, double height) : IShape

    {

        public double GetArea()

        {

            return height * width / 2;  

        }

        public bool IsValid()

        {

            return height > 0 && width > 0;

        }

        public string GetName()

        {

            return "triangle";

        }

    }

}