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{

    Scanner sc = new Scanner(System.in);

    public static void main(String[] args){
        new Main().run();
    }

    void run() {

        int n = sc.nextInt();
        int a = sc.nextInt();
        int b = sc.nextInt();
        int c = sc.nextInt();

        StringBuffer sb = new StringBuffer();

        String[] arr = new String[n+1];
        for (int i=0; i<n; i++) arr[i] = sc.next();
        arr[n] = "X";

        for (int i=0; i<n; i++) {
            if (arr[i].equals("AB")) {
                if (a <= 0 && b <= 0) {
                    System.out.println("No");
                    return;
                }
                if (a < b) {
                    a += 1;
                    b -= 1;
                    sb.append("A\n");
                } else if (b < a) {
                    b += 1;
                    a -= 1;
                    sb.append("B\n");
                } else {
                    if (arr[i+1].equals("BC")) {
                        b += 1;
                        a -= 1;
                        sb.append("B\n");
                    } else {
                        a += 1;
                        b -= 1;
                        sb.append("A\n");
                    }
                }
            } else if (arr[i].equals("AC")) {
                if (a <= 0 && c <= 0) {
                    System.out.println("No");
                    return;
                }
                if (a < c) {
                    a += 1;
                    c -= 1;
                    sb.append("A\n");
                } else if (c < a) {
                    c += 1;
                    a -= 1;
                    sb.append("C\n");
                } else {
                    if (arr[i+1].equals("BC")) {
                        c += 1;
                        a -= 1;
                        sb.append("C\n");
                    } else {
                        a += 1;
                        c -= 1;
                        sb.append("A\n");
                    }
                }
            } else {
                if (b <= 0 && c <= 0) {
                    System.out.println("No");
                    return;
                }
                if (b < c) {
                    b += 1;
                    c -= 1;
                    sb.append("B\n");
                } else if (c < b) {
                    c += 1;
                    b -= 1;
                    sb.append("C\n");
                } else {
                    if (arr[i+1].equals("AC")) {
                        c += 1;
                        b -= 1;
                        sb.append("C\n");
                    } else {
                        b += 1;
                        c -= 1;
                        sb.append("B\n");
                    }
                }
            }
        }

        System.out.println("Yes");
        System.out.println(sb.toString());

    }
}