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.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.List;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        MyScanner in = new MyScanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        F solver = new F();
        solver.solve(1, in, out);
        out.close();
    }

    static class F {
        public void solve(int testNumber, MyScanner in, PrintWriter out) {
            int N = in.Int();
            int[] ABC = in.Int(3);
            List<String> que = new ArrayList<>();
            for (int i = 0; i < N; i++) {
                que.add(in.next());
            }

            List<Character> ans = new ArrayList<>(N);
            for (int i = 0; i < N; i++) {
                String s = que.get(i);
                int l = s.charAt(0) - 'A';
                int r = s.charAt(1) - 'A';
                if (ABC[l] == 0 && ABC[r] == 0) {
                    out.println("No");
                    return;
                } else if (ABC[l] == 0 || ABC[r] == 0) {
                    if (ABC[l] == 0) {
                        ans.add((char) (l + 'A'));
                        ABC[l]++;
                        ABC[r]--;
                    } else {
                        ans.add((char) (r + 'A'));
                        ABC[r]++;
                        ABC[l]--;
                    }
                } else if (ABC[l] == 1 && ABC[r] == 1 && i + 1 < N) {
                    String next = que.get(i + 1);
                    if (next.indexOf((char) (r + 'A')) >= 0) {
                        int temp = l;
                        l = r;
                        r = temp;
                    }
                    ans.add((char) (l + 'A'));
                    ABC[l]++;
                    ABC[r]--;
                } else {
                    if (ABC[l] > ABC[r]) {
                        int temp = l;
                        l = r;
                        r = temp;
                    }
                    ans.add((char) (l + 'A'));
                    ABC[l]++;
                    ABC[r]--;
                }
            }
            out.println("Yes");
            ans.forEach(c -> out.println((char) c));
        }

    }

    static class MyScanner {
        private BufferedReader in;
        private StringTokenizer st;

        public MyScanner(InputStream stream) {
            in = new BufferedReader(new InputStreamReader(stream));
        }

        public String next() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    String rl = in.readLine();
                    if (rl == null) {
                        return null;
                    }
                    st = new StringTokenizer(rl);
                } catch (IOException e) {
                    return null;
                }
            }
            return st.nextToken();
        }

        public int Int() {
            return Integer.parseInt(next());
        }

        public int[] Int(int n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) {
                a[i] = Int();
            }
            return a;
        }

    }
}