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.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int N = scanner.nextInt();
        int A = scanner.nextInt();
        int B = scanner.nextInt();
        int C = scanner.nextInt();

        List<String> list = new ArrayList<>();
        for (int i = 0; i < N; i++) {
            list.add(scanner.next());
        }

        List<String> result = new ArrayList<>();

        for (int i = 0; i < N - 1; i++) {
            if (list.get(i).equals("AB")) {
                if (A == 0 && B == 0) {
                    System.out.println("No");
                    return;
                }
                if (A > B || (A == B && list.get(i + 1).equals("BC"))) {
                    A -= 1;
                    B += 1;
                    result.add("B");
                } else {
                    A += 1;
                    B -= 1;
                    result.add("A");
                }
            }
            if (list.get(i).equals("BC")) {
                if (B == 0 && C == 0) {
                    System.out.println("No");
                    return;
                }
                if (B > C || (B == C && list.get(i + 1).equals("AC"))) {
                    B -= 1;
                    C += 1;
                    result.add("C");
                } else {
                    B += 1;
                    C -= 1;
                    result.add("B");
                }
            }
            if (list.get(i).equals("AC")) {
                if (A == 0 && C == 0) {
                    System.out.println("No");
                    return;
                }
                if (A > C || (A == C && list.get(i + 1).equals("BC"))) {
                    A -= 1;
                    C += 1;
                    result.add("C");
                } else {
                    A += 1;
                    C -= 1;
                    result.add("A");
                }
            }
        }
        for (int i = N - 1; i < N; i++) {
            if (list.get(i).equals("AB")) {
                if (A == 0 && B == 0) {
                    System.out.println("No");
                    return;
                }
                if (A > B) {
                    A -= 1;
                    B += 1;
                    result.add("B");
                } else {
                    A += 1;
                    B -= 1;
                    result.add("A");
                }
            }
            if (list.get(i).equals("BC")) {
                if (B == 0 && C == 0) {
                    System.out.println("No");
                    return;
                }
                if (B > C) {
                    B -= 1;
                    C += 1;
                    result.add("C");
                } else {
                    B += 1;
                    C -= 1;
                    result.add("B");
                }
            }
            if (list.get(i).equals("AC")) {
                if (A == 0 && C == 0) {
                    System.out.println("No");
                    return;
                }
                if (A > C) {
                    A -= 1;
                    C += 1;
                    result.add("C");
                } else {
                    A += 1;
                    C -= 1;
                    result.add("A");
                }
            }
        }
        System.out.println("Yes");
        for (String s : result) {
            System.out.println(s);
        }
    }
}