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.

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.InputStreamReader;
import java.io.InputStream;

import java.util.ArrayList;
import java.util.Arrays;

import java.util.Comparator;
import java.util.HashMap;

public class Solution {
//    ----------------------------------------------------------------------------

    public static void main(String[] args) throws IOException {

        //IF INPUT-OUTPUT is via files. uncomment use the below 3 lines of code. comment out the next 4
        //     File file = new File("input.txt"); // here input.txt and output.txt being the file names 
        //   InputReader in = new InputReader(new FileInputStream(file));
        //    PrintWriter out = new PrintWriter(new FileOutputStream("output.txt"));
        //ELSE 
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Task solver = new Task();
        solver.solve(1, in, out);
        out.close();
    }

    static class Task {

        public void solve(int testNumber, InputReader in, PrintWriter out) throws IOException {

            BufferedReader inn = new BufferedReader(new InputStreamReader(System.in));
            char a[][] = new char[4][4];
            for (int i = 0; i < 4; i++) {

                a[i] = inn.readLine().toCharArray();
            }

            for (int i = 0; i < 3; i++) {

                for (int j = 0; j < 3; j++) {
                    if (a[i][j] == '#' && a[i][j + 1] == '#') {
                        if (a[i + 1][j] == '#' || a[i + 1][j + 1] == '#') {
                            out.print("YES");
                            return;
                        }
                    }

                    if (a[i][j] == '.' && a[i][j + 1] == '.') {
                        if (a[i + 1][j] == '.' || a[i + 1][j + 1] == '.') {
                            out.print("YES");
                            return;
                        }
                    }
                }

            }

            for (int i = 3; i >= 1; i--) {

                for (int j = 3; j >= 1; j--) {
                    
                    
//                    System.out.println(a[i][j] + " " + a[i][j-1]);
//                    System.out.println(a[i-1][j] + " " + a[i-1][j-1]);
//                    System.out.println(" -- ");
                    
                    if (a[i][j] == '#' && a[i][j - 1] == '#') {
                        if (a[i - 1][j] == '#' || a[i - 1][j - 1] == '#') {
                            out.print("YES");
                            return;
                        }
                    }

                    if (a[i][j] == '.' && a[i][j - 1] == '.') {
                        if (a[i - 1][j] == '.' || a[i - 1][j - 1] == '.') {
                            out.print("YES");
                            return;
                        }
                    }
                }

            }
            out.print("NO");

        }

    }
//    ----------------------------------------------------------------------------
// IMPORTANT || COMMON  METHODS
// PAIR

    static class Pair {

        int x;
        int y;

        // Constructor 
        public Pair(int x, int y) {
            this.x = x;
            this.y = y;
        }

        // how to initialize
//            Pair level[] = new Pair[n];
//            for (int i = 0; i < n; i++) {
//                int x = in.nextInt();
//                int y = in.nextInt();
//
//                level[i] = new Pair(x, y);
//
//            }
        // How to sort
//              PairSort ps = new PairSort();
//              ps.sort(level, 1);
    }

    static class PairSort {

        Pair[] sort(Pair arr[], int i) {
            // Comparator to sort the pair according to second element 
            Arrays.sort(arr, new Comparator<Pair>() {
                @Override
                public int compare(Pair p1, Pair p2) {
                    // 1 sees the first elements ans sorts them in increasing order 
                    // 2 sees the second elements ans sorts them in increasing order 
                    // 3 sees the first elements ans sorts them in decreasing order 
                    // 4 sees the second elements ans sorts them in decreasing order 
                    switch (i) {
                        case 2:
                            return p1.y - p2.y;
                        case 1:
                            return p1.x - p2.x;
                        case 4:
                            return p2.y - p1.y;
                        default:
                            return p2.x - p1.x;
                    }

                }
            });

            return arr;
        }
    }

// GCD || HCF
    static long GCD(long x, long y) {
        return y == 0 ? x : GCD(y, x % y);
    }

    // LCM 
    static long LCM(long a, long b) {
        return (a * b) / GCD(a, b);
    }

    // Returns the divisors of a number
    static ArrayList Divisors(long n) {

//        SO. If you need number of divisors . better to use this
//        same idea as Seive of erasthothenes
//            long[] div = new long[(int) MAX];
//            for (int i = 1; i < MAX; i++) {
//                for (int j = i; j < MAX; j += i) {
//                    div[j]++;
//                }
//            }
        ArrayList<Long> div = new ArrayList<>();

        for (long i = 1; i <= Math.sqrt(n); i++) {
            if (n % i == 0) {
                div.add(i);

                if (n / i != i) {
                    div.add(n / i);
                }
            }
        }
        return div;
    }

    // PERMUTATIONS
    static void permute(int[] a, int k) {
        if (k == a.length) {

            for (int i = 0; i < k; i++) {

                System.out.print(a[i] + " ");

            }

            System.out.println("");
        } else {
            for (int i = k; i < a.length; i++) {
                int temp = a[k];
                a[k] = a[i];
                a[i] = temp;

                permute(a, k + 1);
                // swapping a[k] and a[i] .
                temp = a[k];
                a[k] = a[i];
                a[i] = temp;

            }
        }

        // How to run 
        //int seq[] = {1, 19, 6}; .. let seq be the array of numbers to be permuted
        //permute(seq, 0); // call this function . 
        //0 -> all permutations ( permutation start from 1st number) 
        //1-> permutations start from 2nd number 
        //2-> permutation start from 3rd number
        // n-1 that array will be returned
    }
//    ----------------------------------------------------------------------------
    // MAIN - INPUT - OUTPUT 

    static class InputReader {

        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

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

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

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

        public int[] nextIntArray(int arraySize) {
            int array[] = new int[arraySize];

            for (int i = 0; i < arraySize; i++) {
                array[i] = nextInt();
            }

            return array;
        }

    }
}

// to take the string as a single character each . do this.

/*          BufferedReader inn = new BufferedReader(new InputStreamReader(System.in));
            char[] s1 = inn.readLine().toCharArray();
            // for going through each ch in ch array
            for (char c : s1) {
                if (c != ' ') {

                }

            }
 */
