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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.IOException;
import java.io.InputStream;
import java.util.Arrays;
import java.util.NoSuchElementException;


public class Main {
    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        long w = sc.nextLong();
        long h = sc.nextLong();
        long x = sc.nextLong();
        long y = sc.nextLong();
        System.out.println(w*h/2);
        if (w % 2 == 0 && h % 2 == 0) {
            if (x == w/2 && y == h/2) {
                System.out.println('1');
            } else {
                System.out.println('0');
            }
        } else {
            System.out.println('0');
        }
    }
}


class FastScanner {
    public static String debug = null;

    private final InputStream in = System.in;
    private int ptr = 0;
    private int buflen = 0;
    private byte[] buffer = new byte[1024];
    private boolean eos = false;

    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        } else {
            ptr = 0;
            try {
                if (debug != null) {
                    buflen = debug.length();
                    buffer = debug.getBytes();
                    debug = "";
                    eos = true;
                } else {
                    buflen = in.read(buffer);
                }
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen < 0) {
                eos = true;
                return false;
            } else if (buflen == 0) {
                return false;
            }
        }
        return true;
    }

    private int readByte() {
        if (hasNextByte())
            return buffer[ptr++];
        else
            return -1;
    }

    private static boolean isPrintableChar(int c) {
        return 33 <= c && c <= 126;
    }

    private void skipUnprintable() {
        while (hasNextByte() && !isPrintableChar(buffer[ptr]))
            ptr++;
    }

    public boolean isEOS() {
        return this.eos;
    }

    public boolean hasNext() {
        skipUnprintable();
        return hasNextByte();
    }

    public String next() {
        if (!hasNext())
            throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    public long nextLong() {
        if (!hasNext())
            throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while (true) {
            if ('0' <= b && b <= '9') {
              n *= 10;
              n += b - '0';
            } else if (b == -1 || !isPrintableChar(b)) {
                return minus ? -n : n;
            } else {
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }

    public int nextInt() {
        return (int) nextLong();
    }

    public long[] nextLongList(int n) {
        return nextLongTable(1, n)[0];
    }

    public int[] nextIntList(int n) {
        return nextIntTable(1, n)[0];
    }

    public long[][] nextLongTable(int n, int m) {
        long[][] ret = new long[n][m];
        for (int i = 0; i < n; i ++) {
            for (int j = 0; j < m; j ++) {
                ret[i][j] = nextLong();
            }
        }
        return ret;
    }

    public int[][] nextIntTable(int n, int m) {
        int[][] ret = new int[n][m];
        for (int i = 0; i < n; i ++) {
            for (int j = 0; j < m; j ++) {
                ret[i][j] = nextInt();
            }
        }
        return ret;
    }
}