Problem:
Score : 600 points

Problem Statement

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.

Sample Input 1

2 1 3 0
AB
AC

Sample Output 1

Yes
A
C

You can successfully make two choices, as follows:

In the first choice, add 1 to A and subtract 1 from B. A becomes 2, and B becomes 2.

In the second choice, add 1 to C and subtract 1 from A. C becomes 1, and A becomes 1.

Sample Input 2

3 1 0 0
AB
BC
AB

Sample Output 2

No

Sample Input 3

1 0 9 0
AC

Sample Output 3

No

Sample Input 4

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

Sample Output 4

Yes
C
B
B
C
C
B
A
A

Solution in Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.util.*;

public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
  	int n=sc.nextInt(),f=0;
  	long a=sc.nextLong(),b=sc.nextLong(),c=sc.nextLong();
  	String[] s=new String[n],t=new String[n];
  	for(int i=0;i<n;i++){
  		s[i]=sc.next();
  		if(s[i].equals("AB")){
  			if(a>=b){
  				a--;
  				b++;
  				t[i]="B";
  				if(a<0){
  					f++;
  					break;
  				}
  			}else{
  				b--;
  				a++;
  				t[i]="A";
  				if(b<0){
  					f++;
  					break;
  				}
  			}
  		}else if(s[i].equals("BC")){
  			if(b>=c){
  				b--;
  				c++;
  				t[i]="C";
  				if(b<0){
  					f++;
  					break;
  				}
  			}else{
  				c--;
  				b++;
  				t[i]="B";
  				if(c<0){
  					f++;
  					break;
  				}
  			}
  		}else{
  			if(c>=a){
  				c--;
  				a++;
  				t[i]="A";
  				if(c<0){
  					f++;
  					break;
  				}
  			}else{
  				a--;
  				c++;
  				t[i]="C";
  				if(a<0){
  					f++;
  					break;
  				}
  			}
  		}
  	}
  	if(f==0){
  		System.out.println("Yes");
  		for(int i=0;i<n;i++){
  			System.out.println(t[i]);
  		}
  	}else{
  		System.out.print("No");
  	}
  }
}