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.util.*;

public class Main{
    
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        
        int n = Integer.parseInt(sc.next());
        int a = Integer.parseInt(sc.next());
        int b = Integer.parseInt(sc.next());
        int c = Integer.parseInt(sc.next());
        
        int[] s = new int[n+1];
        for(int i=0; i<n; i++){
            String line = sc.next();
            if("AB".equals(line)){
                s[i] = 0;
            }else if("AC".equals(line)){
                s[i] = 1;
            }else{
                s[i] = 2;
            }
        }
        
        char[] ans = new char[n];
        for(int i=0; i<n; i++){
            if(s[i] == 0){
                //AB
                if(a==0 && b==0){
                    no(a,b,c);
                }else if(a == b){
                    if(s[i+1] == 1){
                        ans[i] = 'A';
                        a++;
                        b--;
                    }else{
                        ans[i] = 'B';
                        b++;
                        a--;
                    }
                }else if(a < b){
                    ans[i] = 'A';
                    a++;
                    b--;
                }else{
                    ans[i] = 'B';
                    b++;
                    a--;
                }
            }else if(s[i] == 1){
                //AC
                if(a==0 && c==0){
                    no(a,b,c);
                }else if(a == c){
                    if(s[i+1] == 0){
                        ans[i] = 'A';
                        a++;
                        c--;
                    }else{
                        ans[i] = 'C';
                        c++;
                        a--;
                    }
                }else if(a < c){
                    ans[i] = 'A';
                    a++;
                    c--;
                }else{
                    ans[i] = 'C';
                    c++;
                    a--;
                }
            }else{
                //BC
                if(b==0 && c==0){
                    no(a,b,c);
                }else if(b == c){
                    if(s[i+1] == 0){
                        ans[i] = 'B';
                        b++;
                        c--;
                    }else{
                        ans[i] = 'C';
                        c++;
                        b--;
                    }
                }else if(b < c){
                    ans[i] = 'B';
                    b++;
                    c--;
                }else{
                    ans[i] = 'C';
                    c++;
                    b--;
                }
            }
        }
        
        System.out.println("Yes");
        for(int i=0; i<n; i++){
            System.out.println(ans[i]+"");
        }
    }
    
    public static void no(int a, int b, int c){
        //System.out.println(a + " " + b +  " " + c);
        
        System.out.println("No");
        System.exit(0);
    }
}