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 static java.lang.Integer.*;
import static java.lang.Long.*;
import static java.lang.System.*;

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Main {

    static void solve() throws Exception {
        int N = scanInt();
        long A = scanLong(), B = scanLong(), C = scanLong();
        char[] ans = new char[N];

        for (int i = 0; i < N; i++) {
            String str = scanString();
            if (str.equals("AB")) {
                if (A == 0 && B == 0) {
                    out.println("No");
                    return;
                }
                if (i + 1 < N && A == 1 && B == 1 && C == 0) {
                    String next = scanString();
                    if (next.equals("AC")) {
                        A++;
                        B--;
                        ans[i] = 'A';
                        i++;
                        A--;
                        C++;
                        ans[i] = 'C';
                    } else if (next.equals("BC")) {
                        B++;
                        A--;
                        ans[i] = 'B';
                        i++;
                        B--;
                        C++;
                        ans[i] = 'C';
                    } else {
                        A++;
                        B--;
                        ans[i] = 'A';
                        i++;
                        A--;
                        B++;
                        ans[i] = 'B';
                    }

                } else if (A < B) {
                    A++;
                    B--;
                    ans[i] = 'A';
                } else {
                    B++;
                    A--;
                    ans[i] = 'B';
                }
            } else if (str.equals("BC")) {
                if (B == 0 && C == 0) {
                    out.println("No");
                    return;
                }
                if (i + 1 < N && B == 1 && C == 1 && A == 0) {
                    String next = scanString();
                    if (next.equals("AB")) {
                        B++;
                        C--;
                        ans[i] = 'B';
                        i++;
                        B--;
                        A++;
                        ans[i] = 'A';
                    } else if (next.equals("AC")) {
                        C++;
                        B--;
                        ans[i] = 'C';
                        i++;
                        C--;
                        A++;
                        ans[i] = 'A';
                    } else {
                        C++;
                        B--;
                        ans[i] = 'C';
                        i++;
                        C--;
                        B++;
                        ans[i] = 'B';
                    }
                } else if (B < C) {
                    B++;
                    C--;
                    ans[i] = 'B';
                } else {
                    C++;
                    B--;
                    ans[i] = 'C';
                }
            } else {
                if (A == 0 && C == 0) {
                    out.println("No");
                    return;
                }

                if (i + 1 < N && A == 1 && C == 1 && B == 0) {
                    String next = scanString();
                    if (next.equals("AB")) {
                        A++;
                        C--;
                        ans[i] = 'A';
                        i++;
                        A--;
                        B++;
                        ans[i] = 'B';
                    } else if (next.equals("BC")) {
                        C++;
                        A--;
                        ans[i] = 'C';
                        i++;
                        C--;
                        B++;
                        ans[i] = 'B';
                    } else {
                        A++;
                        C--;
                        ans[i] = 'A';
                        i++;
                        A--;
                        C++;
                        ans[i] = 'C';
                    }
                } else if (A < C) {
                    A++;
                    C--;
                    ans[i] = 'A';
                } else {
                    C++;
                    A--;
                    ans[i] = 'C';
                }
            }
        }

        out.println("Yes");
        for (int i = 0; i < N; i++) {
            out.println(ans[i]);
        }
    }

    static int scanInt() throws IOException {
        return parseInt(scanString());
    }

    static long scanLong() throws IOException {
        return parseLong(scanString());
    }

    static String scanString() throws IOException {
        while (tok == null || !tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine());
        }
        return tok.nextToken();
    }

    static BufferedReader in;
    static PrintWriter out;
    static StringTokenizer tok;

    public static void main(String[] args) {
        try {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
            solve();
            in.close();
            out.close();
        } catch (Throwable e) {
            e.printStackTrace();
            exit(1);
        }
    }
}