Little Petya is learning to play chess. He has already learned how to move a king, a rook and a bishop. Let us remind you the rules of moving chess pieces. A chessboard is 64 square fields organized into an 8 × 8 table. A field is represented by a pair of integers (r, c) — the number of the row and the number of the column (in a classical game the columns are traditionally indexed by letters). Each chess piece takes up exactly one field. To make a move is to move a chess piece, the pieces move by the following rules:

  * A rook moves any number of fields horizontally or vertically. 
  * A bishop moves any number of fields diagonally. 
  * A king moves one field in any direction — horizontally, vertically or diagonally. 

<image> The pieces move like that

Petya is thinking about the following problem: what minimum number of moves is needed for each of these pieces to move from field (r1, c1) to field (r2, c2)? At that, we assume that there are no more pieces besides this one on the board. Help him solve this problem.

Input

The input contains four integers r1, c1, r2, c2 (1 ≤ r1, c1, r2, c2 ≤ 8) — the coordinates of the starting and the final field. The starting field doesn't coincide with the final one.

You can assume that the chessboard rows are numbered from top to bottom 1 through 8, and the columns are numbered from left to right 1 through 8.

Output

Print three space-separated integers: the minimum number of moves the rook, the bishop and the king (in this order) is needed to move from field (r1, c1) to field (r2, c2). If a piece cannot make such a move, print a 0 instead of the corresponding number.

Examples

Input

4 3 1 6


Output

2 1 3


Input

5 5 5 6


Output

1 0 1
import java.io.*;
import java.math.BigInteger;
import java.util.*;

import static java.util.Arrays.*;
import static java.lang.Math.*;

/**
 * @author master_j
 */
public class Solution {
    private IO io;
    private static final String _localArg = "master_j";
    private final String _problemName = "";
    private final int _inMode = IO.STD_;
    private final int _outMode = IO.STD_;
    private final boolean _autoFlush = false;

    private void solve() throws IOException {
        int r1 = io.nI(), c1 = io.nI(), r2 = io.nI(), c2 = io.nI();
        if(r1 == r2 && c1 == c2){
            io.wln("0 0 0");
            return;
        }

        if(r1 == r2 || c1 == c2)
            io.wf("%d ", 1);
        else
            io.wf("%d ", 2);

        if((r1%2==c1%2) != (r2%2==c2%2))
            io.wf("%d ", 0);
        else if(r1-c1 == r2-c2 || r1+c1 == r2+c2)
            io.wf("%d ", 1);
        else
            io.wf("%d ", 2);

        io.wf("%d\n", abs(r1-r2) + abs(c1-c2) - min(abs(r1-r2), abs(c1-c2)));
    }//2.2250738585072012e-308

    private void init(boolean local) throws IOException {
        if(local)
            io = new IO(IO._PUT_TXT, IO.STD_);
        else{
            if((_inMode == IO.PROBNAME_ || _outMode == IO.PROBNAME_) && _problemName.length() == 0)
                throw new IllegalStateException("You imbecile. Where's my <_problemName>?");
            io = new IO(_inMode, _outMode);
        }

        long nanoTime = 0;
        if(local){
            nanoTime -= System.nanoTime();
            if(_autoFlush)
                io.wln("NOTE: auto-flush is on.");
            io.wln("<output>");
            io.flush();
        }

        solve();
        io.flush();

        if(local){
            io.wln("</output>");
            nanoTime += System.nanoTime();
            long d9 = 1000000000, d6 = 1000000, d3 = 1000;
            if(nanoTime >= d9)
                io.wf("%d.%d seconds\n", nanoTime/d9, nanoTime%d9);
            else if(nanoTime >= d6)
                io.wf("%d.%d millis\n", nanoTime/d6, nanoTime%d6);
            else if(nanoTime >= d3)
                io.wf("%d.%d micros\n", nanoTime/d3, nanoTime%d3);
            else
                io.wf("%d nanos\n", nanoTime);
            io.flush();
        }

        io.close();
    }

    /**
     * Input-output class
     *
     * @author master_j
     * @version 0.3.2
     */
    private class IO {
//     _____________________________ _________________
//    |  mode  |      from/to       |  variable name  |
//    |--------|--------------------|-----------------|
//    |    0   |      System.*      |       STD_      |
//    |    1   |      *put.txt      |     _PUT_TXT    |
//    |    2   |  <_problemName>.*  |     PROBNAME_   |
//    |________|____________________|_________________|
//

        static final int STD_ = 0;
        static final int _PUT_TXT = 1;
        static final int PROBNAME_ = 2;

        StreamTokenizer st;
        BufferedReader br;
        Reader reader;

        PrintWriter pw;
        Writer writer;

        IO(int inMode, int outMode) throws IOException {
            Locale.setDefault(Locale.US);

            if(inMode == IO.STD_)
                reader = new InputStreamReader(System.in);
            else if(inMode == IO._PUT_TXT)
                reader = new FileReader("input.txt");
            else if(inMode == IO.PROBNAME_)
                reader = new FileReader(_problemName + ".in");
            else
                throw new IllegalStateException("You imbecile. How did you do that?");

            if(outMode == IO.STD_)
                writer = new OutputStreamWriter(System.out);
            else if(outMode == IO._PUT_TXT)
                writer = new FileWriter("output.txt");
            else if(outMode == IO.PROBNAME_)
                writer = new FileWriter(_problemName + ".out");
            else
                throw new IllegalStateException("You imbecille. Why did you do that?");

            br = new BufferedReader(reader);
            st = new StreamTokenizer(br);

            pw = new PrintWriter(writer, _autoFlush);
        }

        void wln()          {pw.println(); }
        void wln(boolean x) {pw.println(x);}
        void wln(char x)    {pw.println(x);}
        void wln(char x[])  {pw.println(x);}
        void wln(double x)  {pw.println(x);}
        void wln(float x)   {pw.println(x);}
        void wln(int x)     {pw.println(x);}
        void wln(long x)    {pw.println(x);}
        void wln(Object x)  {pw.println(x);}
        void wln(String x)  {pw.println(x);}

        void wf(String f, Object...o){pw.printf(f, o);}

        void w(boolean x)   {pw.print(x);}
        void w(char x)      {pw.print(x);}
        void w(char x[])    {pw.print(x);}
        void w(double x)    {pw.print(x);}
        void w(float x)     {pw.print(x);}
        void w(int x)       {pw.print(x);}
        void w(long x)      {pw.print(x);}
        void w(Object x)    {pw.print(x);}
        void w(String x)    {pw.print(x);}

        int nI() throws IOException    {st.nextToken(); return (int)st.nval;}
        double nD() throws IOException {st.nextToken(); return st.nval;}
        float nF() throws IOException  {st.nextToken(); return (float)st.nval;}
        long nL() throws IOException   {st.nextToken(); return (long)st.nval;}
        String nS() throws IOException {st.nextToken(); return st.sval;}

        void wc(String x){ wc(x.toCharArray()); }
        void wc(char c1, char c2){for(char c = c1; c<=c2; c++)wc(c);}
        void wc(char x[]){
            for(char c : x)
                wc(c);
        }
        void wc(char x){st.ordinaryChar(x); st.wordChars(x, x);}

        public boolean eof() {return st.ttype == StreamTokenizer.TT_EOF;}
        public boolean eol() {return st.ttype == StreamTokenizer.TT_EOL;}

        void flush(){pw.flush();}
        void close() throws IOException{reader.close(); br.close(); flush(); pw.close();}
    }

    public static void main(final String args[]) throws IOException {
        new Solution().init(args.length == 1 && args[0].equals(_localArg));
    }
}
