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.util.*;
import java.io.*;
import java.math.*;
 
public class Main
{
    /*static class Pair{
        int key;
        int value;
 
        Pair(int key,int value)
        {
            this.key=key;
            this.value=value;
        }
    }
        public static class SortbyKey implements Comparator<Pair>
        {
            public int compare(Pair a, Pair b){
            return (a.key- b.key); 
        }*/
    
 
    public static void process()throws IOException
    {
     String arr[]=new String[4];
     for(int i=0;i<4;i++)
     {
       arr[i]=nn();
     }
     
     int flag=0;
     int c=1;
     for(int i=0;i<3;i++)
     {
        
        for(int j=1;j<4;j++)
        {
            char ch=arr[i].charAt(j);
            
            if(ch==(arr[i].charAt(j-1)))//left
                c++;
            if(ch==(arr[i+1].charAt(j)))//down
                c++;
            if(ch==(arr[i+1].charAt(j-1)))//diagonal
                c++;
            
        
            if(c==1||c==3||c==4)
                {flag=1;break;}

            c=1;

        }
        if(flag==1)
            break;

     }
     if(flag==1)
        pn("YES");
    else
        pn("NO");
     
    }
     
    
    static AnotherReader sc;
    static PrintWriter out;
    public static void main(String[]args)throws IOException
    {
        out = new PrintWriter(System.out);
        sc=new AnotherReader();
        boolean oj = true;
         //PrintWriter out=new PrintWriter("output");
        //oj = System.getProperty("ONLINE_JUDGE") != null;
        //if(!oj) sc=new AnotherReader(100);
 
     //int i=1;
 //int T=ni(); 
 
 //while(T-->0)
     // {
      // p("Case #"+i+": ");
            process();
            //i++;
      //}
        long s = System.currentTimeMillis();
      
        out.flush();
        if(!oj)
            System.out.println(System.currentTimeMillis()-s+"ms");
        System.out.close();  
    }
    static void sort(long arr[],int n)
    {
    shuffle(arr,n);
    Arrays.sort(arr);
    }
    static void shuffle(long arr[],int n)
    {
        Random r=new Random();
        for(int i=0;i<n;i++)
        {
          long temp=arr[i];
          int pos=i+r.nextInt(n-i);
          arr[i]=arr[pos];
          arr[pos]=temp;
        }
    }
 
    static void pn(Object o){out.println(o);}
    static void p(Object o){out.print(o);}
    static void pni(Object o){out.println(o);System.out.flush();}
    static int ni()throws IOException{return sc.nextInt();}
    static long nl()throws IOException{return sc.nextLong();}
    static double nd()throws IOException{return sc.nextDouble();}
    static String nln()throws IOException{return sc.nextLine();}
    static String nn()throws IOException{return sc.next();}
    static long gcd(long a, long b)throws IOException{return (b==0)?a:gcd(b,a%b);}
    static int gcd(int a, int b)throws IOException{return (b==0)?a:gcd(b,a%b);}
    static long bit(long n)throws IOException{return (n==0)?0:(1+bit(n&(n-1)));}
    static int[] iarr(int N)throws IOException{int[]ARR=new int[N];for(int i=0;i<N;i++){ARR[i]=ni();}return ARR;}
    static long[] larr(int N)throws IOException{long[]ARR=new long[N];for(int i=0;i<N;i++){ARR[i]=nl();}return ARR;}
    static boolean multipleTC=false;
            
 
/////////////////////////////////////////////////////////////////////////////////////////////////////////
    static class AnotherReader{BufferedReader br; StringTokenizer st;
    AnotherReader()throws FileNotFoundException{
    br=new BufferedReader(new InputStreamReader(System.in));}
    AnotherReader(int a)throws FileNotFoundException{
    br = new BufferedReader(new FileReader("input.txt"));}
    String next()throws IOException{
    while (st == null || !st.hasMoreElements()) {try{
    st = new StringTokenizer(br.readLine());}
    catch (IOException  e){ e.printStackTrace(); }}
    return st.nextToken(); } int nextInt() throws IOException{
    return Integer.parseInt(next());}
    long nextLong() throws IOException
    {return Long.parseLong(next());}
    double nextDouble()throws IOException { return Double.parseDouble(next()); }
    String nextLine() throws IOException{ String str = ""; try{
    str = br.readLine();} catch (IOException e){
    e.printStackTrace();} return str;}}
 
    
/////////////////////////////////////////////////////////////////////////////////////////////////////////////
}
 