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 {
    private static final Scanner sc = new Scanner(System.in);

    private List<String> result;

    private void exec(int[] x, int i, int j) {
        result.add(String.valueOf((char)(i + 'A')));
        ++x[i];
        --x[j];
    }

    private void run() {
        int N = sc.nextInt();
        int[] x = new int[3];
        x[0] = sc.nextInt();
        x[1] = sc.nextInt();
        x[2] = sc.nextInt();

        boolean ans = true;
        result = new ArrayList<>();
        List<String> op = new ArrayList<>();
        for (int i = 0; i < N; i++) {
            op.add(sc.next());
        }

        for (int i = 0; i < N; i++) {
            String s = op.get(i);
            if (!ans) {
                continue;
            }

            if (s.equals("AB")) {
                if (x[0] > x[1]) {
                    exec(x, 1, 0);
                } else if (x[0] < x[1]) {
                    exec(x, 0, 1);
                } else {
                    if (x[0] == 1) {
                        if (i + 1 < N) {
                            String nx = op.get(i + 1);
                            if (nx.equals("AC")) {
                                exec(x, 0, 1);
                            } else {
                                exec(x, 1, 0);
                            }
                        } else {
                            exec(x, 0, 1);
                        }
                    } else {
                        exec(x, 0, 1);
                    }
                }
            } else if (s.equals("BC")) {
                if (x[1] > x[2]) {
                    exec(x, 2, 1);
                } else if (x[1] < x[2]){
                    exec(x, 1, 2);
                } else {
                    if (x[1] == 1) {
                        if (i + 1 < N) {
                            String nx = op.get(i + 1);
                            if (nx.equals("AC")) {
                                exec(x, 2, 1);
                            } else {
                                exec(x, 1, 2);
                            }
                        } else {
                            exec(x, 1, 2);
                        }
                    } else {
                        exec(x, 2, 1);
                    }
                }
            } else {
                if (x[0] > x[2]) {
                    exec(x, 2, 0);
                } else if (x[0] < x[2]){
                    exec(x, 0, 2);
                } else {
                    if (x[0] == 1) {
                        if (i + 1 < N) {
                            String nx = op.get(i + 1);
                            if (nx.equals("AB")) {
                                exec(x, 0, 2);
                            } else {
                                exec(x, 2, 0);
                            }
                        } else {
                            exec(x, 0, 2);
                        }
                    } else {
                        exec(x, 0, 2);
                    }
                }
            }

            if (x[0] < 0 || x[1] < 0 || x[2] < 0) {
                ans = false;
            }
        }

        if (ans) {
            System.out.println("Yes");
            result.forEach(System.out::println);
        } else {
            System.out.println("No");
        }
    }

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