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 {
    static Long A,B,C;
    public static void main(String args[]){
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        A = sc.nextLong();
        B = sc.nextLong();
        C = sc.nextLong();
        List<String> lt = new ArrayList<>();
        for(int i=0;i<N;i++){
            String s = sc.next();
            lt.add(s);
        }

        StringBuilder bld = new StringBuilder();
        for(int i=0;i<N;i++){
            String op = lt.get(i);
            if(op.equals("AB")){
                if(A == 0 && B == 0) {
                    System.out.println("No");
                    return;
                }else if(A == 0){
                    operate(op, "A",A,B,C,bld);
                }else if(B == 0){
                    operate(op, "B",A,B,C,bld);
                }else{
                    if(A>B){
                        operate(op, "B",A,B,C,bld);
                    }else if(A<B){
                        operate(op, "A",A,B,C,bld);
                    }else{
                        if(A+B==2 && i != N-1){
                            String next = lt.get(i+1);
                            if(next.equals("BC")){
                                operate(op, "B",A,B,C,bld);
                            }else if(next.equals("AC")){
                                operate(op, "A",A,B,C,bld);
                            }else{
                                operate(op, "A",A,B,C,bld);
                            }
                        }else{
                            operate(op, "A",A,B,C,bld);
                        }
                    }
                }
            }else if(op.equals("BC")){
                if(B == 0 && C == 0) {
                    System.out.println("No");
                    return;
                }else if(B == 0){
                    operate(op, "B",A,B,C,bld);
                }else if(C == 0){
                    operate(op, "C",A,B,C,bld);
                }else{
                    if(B>C){
                        operate(op, "C",A,B,C,bld);
                    }else if(B<C){
                        operate(op, "B",A,B,C,bld);
                    }else{
                        if(B+C==2 && i != N-1){
                            String next = lt.get(i+1);
                            if(next.equals("AC")){
                                operate(op, "C",A,B,C,bld);
                            }else if(next.equals("AB")){
                                operate(op, "B",A,B,C,bld);
                            }else{
                                operate(op, "B",A,B,C,bld);
                            }
                        }else{
                            operate(op, "B",A,B,C,bld);//either
                        }
                    }
                }
            } else if(op.equals("AC")){
                if(A == 0 && C == 0) {
                    System.out.println("No");
                    return;
                }else if(A == 0){
                    operate(op, "A",A,B,C,bld);
                }else if(C == 0){
                    operate(op, "C",A,B,C,bld);
                }else{
                    if(A>C){
                        operate(op, "C",A,B,C,bld);
                    }else if(A<C){
                        operate(op, "A",A,B,C,bld);
                    }else{
                        if(A+C==2 && i != N-1){
                            String next = lt.get(i+1);
                            if(next.equals("AB")){
                                operate(op, "A",A,B,C,bld);
                            }else if(next.equals("BC")){
                                operate(op, "C",A,B,C,bld);
                            }else{
                                operate(op, "C",A,B,C,bld);
                            }
                        }else{
                            operate(op, "C",A,B,C,bld);
                        }
                    }
                }
            }
            //System.out.println(A + " " + B + " " + C);
        }
        System.out.println("Yes");
        System.out.print(bld.toString());
    }

    private static void operate(String s, String op,Long a, Long b, Long c, StringBuilder bld){
        if(s.equals("AB")){
            if(op.equals("A")){
                A++;
                B--;
            }else{
                A--;
                B++;
            }
        }
        if(s.equals("BC")){
            if(op.equals("B")){
                B++;
                C--;
            }else{
                B--;
                C++;
            }
        }
        if(s.equals("AC")){
            if(op.equals("A")){
                A++;
                C--;
            }else{
                A--;
                C++;
            }
        }
        bld.append(op);
        bld.append("\n");
    }

}