Problem: There is a game that involves three variables, denoted A, B, and C.

As the game progresses, there will be N events where you are asked to make a choice. Each of these choices is represented by a string s_i. If s_i is `AB`, you must add 1 to A or B then subtract 1 from the other; if s_i is `AC`, you must add 1 to A or C then subtract 1 from the other; if s_i is `BC`, you must add 1 to B or C then subtract 1 from the other.

After each choice, none of A, B, and C should be negative.

Determine whether it is possible to make N choices under this condition. If it is possible, also give one such way to make the choices.

Constraints

* 1 \leq N \leq 10^5
* 0 \leq A,B,C \leq 10^9
* N, A, B, C are integers.
* s_i is `AB`, `AC`, or `BC`.

Input

Input is given from Standard Input in the following format:


N A B C
s_1
s_2
:
s_N


Output

If it is possible to make N choices under the condition, print `Yes`; otherwise, print `No`.

Also, in the former case, show one such way to make the choices in the subsequent N lines. The (i+1)-th line should contain the name of the variable (`A`, `B`, or `C`) to which you add 1 in the i-th choice.

Examples

Input

2 1 3 0
AB
AC


Output

Yes
A
C


Input

3 1 0 0
AB
BC
AB


Output

No


Input

1 0 9 0
AC


Output

No


Input

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB


Output

Yes
C
B
B
C
C
B
A
A

Solution (in JAVA):

Solution:

import java.io.*;
import java.util.*;
public class Main {

	public static void main(String[] args) throws Exception{
		// TODO Auto-generated method stub
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		String[] cmd=br.readLine().split(" ");
		int n=Integer.valueOf(cmd[0]);
		int a=Integer.valueOf(cmd[1]);
		int b=Integer.valueOf(cmd[2]);
		int c=Integer.valueOf(cmd[3]);
		String[] arr=new String[n];
		for(int i=0;i<n;i++)
		{
			arr[i]=br.readLine();
		}
		String[] ans=new String[n];
		int bool=0;
		for(int i=0;i<n;i++)
		{
			String g=arr[i];
			if(g.equals("AB"))
			{
				if(a>b)
				{
					a--;
					b++;
					ans[i]="B";
				}
				else if(a<b)
				{
					a++;
					b--;
					ans[i]="A";
				}
				else
				{
					if(i+1<n && arr[i+1].equals("AC"))
					{
						a++;
						b--;
						ans[i]="A";
					}
					else
					{
						a--;
						b++;
						ans[i]="B";
					}
				}
				if(a<0 || b<0)
				{
					bool=1;
					break;
				}
			}
			else if(g.equals("AC"))
			{
				if(a>c)
				{
					a--;
					c++;
					ans[i]="C";
				}
				else if(a<c)
				{
					a++;
					c--;
					ans[i]="A";
				}
				else
				{
					if(i+1<n && arr[i+1].equals("AB"))
					{
						a++;
						c--;
						ans[i]="A";
					}
					else
					{
						a--;
						c++;
						ans[i]="C";
					}
				}
				if(a<0 || c<0)
				{
					bool=1;
					break;
				}
			}
			else if(g.equals("BC"))
			{
				if(b>c)
				{
					b--;
					c++;
					ans[i]="C";
				}
				else if(b<c)
				{
					b++;
					c--;
					ans[i]="B";
				}
				else
				{
					if(i+1<n && arr[i+1].equals("AB"))
					{
						b++;
						c--;
						ans[i]="B";
					}
					else
					{
						b--;
						c++;
						ans[i]="C";
					}
				}
				if(c<0 || b<0)
				{
					bool=1;
					break;
				}
			}
		}
		if(bool==1)
			System.out.println("No");
		else
		{
			System.out.println("Yes");
			for(int i=0;i<n;i++)
			{
				System.out.println(ans[i]);
			}
		}
	}

}