In the city of Ultima Thule job applicants are often offered an IQ test. 

The test is as follows: the person gets a piece of squared paper with a 4 × 4 square painted on it. Some of the square's cells are painted black and others are painted white. Your task is to repaint at most one cell the other color so that the picture has a 2 × 2 square, completely consisting of cells of the same color. If the initial picture already has such a square, the person should just say so and the test will be completed. 

Your task is to write a program that determines whether it is possible to pass the test. You cannot pass the test if either repainting any cell or no action doesn't result in a 2 × 2 square, consisting of cells of the same color.

Input

Four lines contain four characters each: the j-th character of the i-th line equals "." if the cell in the i-th row and the j-th column of the square is painted white, and "#", if the cell is black.

Output

Print "YES" (without the quotes), if the test can be passed and "NO" (without the quotes) otherwise.

Examples

Input

####
.#..
####
....


Output

YES


Input

####
....
####
....


Output

NO

Note

In the first test sample it is enough to repaint the first cell in the second row. After such repainting the required 2 × 2 square is on the intersection of the 1-st and 2-nd row with the 1-st and 2-nd column.
/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.lang.reflect.Array;
import java.text.DateFormat;
import java.text.ParseException;
import java.text.SimpleDateFormat;
import java.util.*;
import java.util.concurrent.TimeUnit;
import java.util.regex.Matcher;
import java.util.regex.Pattern;

/**
 *
 * @author Artem_Mikhalevitch
 */
public class Main extends ASolver {

    char[][] c;

    public static void main(String[] args) throws ParseException {
        Main s = new Main();
        s.init();
        if (s.readData()) {
            s.solve();
            s.writeData("" + s.solve());
        }


    }

    @Override
    public void init() {
        super.init();
    }

    @Override
    public boolean readData() {
        try {
            c = new char[4][4];
            for (int i = 0; i < 4; i++) {
                c[i] = next().toCharArray();
            }


        } catch (Exception ex) {
            System.out.println(ex.getCause());
            System.out.println(ex.getMessage());
            return false;
        }
        return true;
    }

    public double[] sort(double[] mas1, double[] mas2) {
        int l1 = mas1.length;
        int l2 = mas2.length;
        double[] result = new double[l1 + l2];
        int i1 = 0, i2 = 0;
        int i = 0;
        for (i = 0; i1 < l1 && i2 < l2; i++) {
            if (mas1[i1] <= mas2[i2]) {
                result[i] = mas1[i1++];
            } else {
                result[i] = mas2[i2++];
            }
        }
        for (int j = i; i1 < l1; j++) {
            result[j] = mas1[i1++];
        }
        for (int j = i; i2 < l2; j++) {
            result[j] = mas2[i2++];
        }
        return result;
    }

    public String solve() {
        boolean result = false;
        for(int i=0;i<=2;i++){
        result = result || check(c[i][0], c[i][1], c[i+1][0], c[i+1][1]);
        result = result || check(c[i][1], c[i][2], c[i+1][1], c[i+1][2]);
        result = result || check(c[i][2], c[i][3], c[i+1][2], c[i+1][3]);
        }
 
        if (result) {
            return "YES";
        }
        return "NO";
    }

    public boolean check(char a, char b, char c, char d) {
        if (a == b && b == c) {
            return true;
        }
        if (a == b && b == d) {
            return true;
        }
        if (b == c && c == d) {
            return true;
        }
        if (a == c && c == d) {
            return true;
        }
        return false;
    }
}

abstract class ASolver {

    protected StringTokenizer tokens;
    protected BufferedReader input;
    protected PrintWriter output;

    public void init() {
        input = new BufferedReader(new InputStreamReader(System.in));
    }

    public abstract boolean readData();

    public void writeData(String result) {
        System.out.println(result);
    }

    public void writeData(int result) {
        System.out.println(result);
    }

    public void writeData(long result) {
        System.out.println(result);
    }

    public int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    public double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }

    public long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    public String next() throws IOException {
        while (tokens == null || !tokens.hasMoreTokens()) {
            tokens = new StringTokenizer(input.readLine());
        }
        return tokens.nextToken();
    }

    public String nextLine() throws IOException {
        while (tokens == null || !tokens.hasMoreTokens()) {
            tokens = new StringTokenizer(input.readLine(), "\n");
        }
        return tokens.nextToken();
    }

    public long infinityImitator(long a, long b) {
        if (a == Long.MIN_VALUE) {
            return Long.MIN_VALUE;
        } else {
            return a + b;
        }
    }

    public int infinityImitator(int a, int b) {
        if (a == Integer.MIN_VALUE) {
            return Integer.MIN_VALUE;
        } else {
            return a + b;
        }
    }

    /*
     * public long max(long... a) { long result = Long.MIN_VALUE; for (int i =
     * 0; i < a.length; i++) { result = Math.max(result, a[i]); } return result;
     * }
     */
    public int indexMax(int... a) {
        int result = 0;
        int index = -1;
        int length = a.length;
        for (int i = 0; i < length; i++) {
            if (a[i] > result) {
                result = a[i];
                index = i;
            }
        }
        return index;
    }

    public int indexMax(long... a) {
        long result = 0;
        int index = -1;
        int length = a.length;
        for (int i = 0; i < length; i++) {
            if (a[i] > result) {
                result = a[i];
                index = i;
            }
        }
        return index;
    }

    public int max(int... a) {
        int result = Integer.MIN_VALUE;
        for (int i = 0; i < a.length; i++) {
            result = Math.max(result, a[i]);
        }
        return result;
    }

    public long max(long... a) {
        long result = Integer.MIN_VALUE;
        for (int i = 0; i < a.length; i++) {
            result = Math.max(result, a[i]);
        }
        return result;
    }
}
