Problem:
Score : 300 points

Problem Statement

There is a rectangle in a coordinate plane. The coordinates of the four vertices are (0,0), (W,0), (W,H), and (0,H).
You are given a point (x,y) which is within the rectangle or on its border. We will draw a straight line passing through (x,y) to cut the rectangle into two parts. Find the maximum possible area of the part whose area is not larger than that of the other. Additionally, determine if there are multiple ways to cut the rectangle and achieve that maximum.

Constraints

1 \leq W,H \leq 10^9

0\leq x\leq W

0\leq y\leq H

All values in input are integers.

Input

Input is given from Standard Input in the following format:

W H x y

Output

Print the maximum possible area of the part whose area is not larger than that of the other, followed by 1 if there are multiple ways to cut the rectangle and achieve that maximum, and 0 otherwise.

The area printed will be judged correct when its absolute or relative error is at most 10^{-9}.

Sample Input 1

2 3 1 2

Sample Output 1

3.000000 0

The line x=1 gives the optimal cut, and no other line does.

Sample Input 2

2 2 1 1

Sample Output 2

2.000000 1

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

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

namespace Rectangle
{
    class Program
    {
        /// <summary>
        ///   The main entry point for the application
        /// </summary>
        [STAThread]
        public static void Main(string[] args)
        {
            // var a = int.Parse(Console.ReadLine()); //標準入力
            string[] str = Console.ReadLine().Split(' ');//2つ以上のスペース区切り入力の取得
            var w = int.Parse(str[0]);  //数値で受け取りたい場合は変換する
            var h = int.Parse(str[1]);
            var x = int.Parse(str[2]);
            var y = int.Parse(str[3]);
            // Console.Write("改行なし a = {0} b = {1} c = {2}", a, b, c)//改行なし出力
            // Console.WriteLine("改行あり a = {0} b = {1} c = {2}", a, b, c);//改行付き出力
            double s = w*h/2;
            Console.Write(s+' ');
            if(x == w/2 && y == h/2) {
                Console.Write(1);
            } else {
                Console.Write(0);
            }
        }
    }
}