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.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.StringTokenizer;
import java.util.stream.Collectors;
import java.util.stream.IntStream;

public class Main {
    public static void main(final String[] args) {
        final FastScanner scanner = new FastScanner(System.in);
        final int n = scanner.nextInt();
        final int[] array = new int[3];
        for (int i = 0; i < 3; i++) {
            array[i] = scanner.nextInt();
        }

        if (Arrays.stream(array).sum() == 2) {
            final List<String> list = IntStream.range(0, n)
                    .mapToObj(i -> scanner.next())
                    .collect(Collectors.toList());

            final String initial = list.get(0);
            if (array[initial.charAt(0) - 'A'] == 0 && array[initial.charAt(1) - 'A'] == 0) {
                System.out.println("No");
                return;
            }

            final List<Character> answer = new ArrayList<>();
            for (int i = 0; i < n - 1; i++) {
                final String current = list.get(i);
                final char charFormer = current.charAt(0);
                final char charLatter = current.charAt(1);
                final int intFormer = charFormer - 'A';
                final int intLatter = charLatter - 'A';
                if (array[intFormer] * array[intLatter] == 0) {
                    if (array[intFormer] == 0) {
                        array[intFormer]++;
                        array[intLatter]--;
                        answer.add(charFormer);
                    } else {
                        array[intFormer]--;
                        array[intLatter]++;
                        answer.add(charLatter);
                    }
                    continue;
                }

                final String next = list.get(i + 1);
                if (next.equals(current)) {
                    array[intFormer]++;
                    array[intLatter]--;
                    answer.add(charFormer);
                    continue;
                }

                if (next.contains(String.valueOf(charFormer))) {
                    array[intFormer]++;
                    array[intLatter]--;
                    answer.add(charFormer);
                } else {
                    array[intFormer]--;
                    array[intLatter]++;
                    answer.add(charLatter);
                }
            }
            final String s = list.get(list.size() - 1);
            if (array[s.charAt(0) - 'A'] >= 1) {
                answer.add(s.charAt(1));
            } else {
                answer.add(s.charAt(0));
            }
            System.out.println("Yes");
            answer.forEach(System.out::println);
            return;
        }

        final List<Character> answer = IntStream.range(0, n)
                .mapToObj(i -> {
                    final String s = scanner.next();
                    final int former = s.charAt(0) - 'A';
                    final int latter = s.charAt(1) - 'A';
                    if (array[former] == 0 && array[latter] == 0) {
                        System.out.println("No");
                        System.exit(0);
                    }
                    if (array[former] < array[latter]) {
                        array[former]++;
                        array[latter]--;
                        return (char) (former + 'A');
                    } else {
                        array[former]--;
                        array[latter]++;
                        return (char) (latter + 'A');
                    }
                })
                .collect(Collectors.toList());

        System.out.println("Yes");
        answer.forEach(System.out::println);
    }

    private static class FastScanner {
        private final BufferedReader reader;
        private StringTokenizer tokenizer;

        FastScanner(final InputStream in) {
            reader = new BufferedReader(new InputStreamReader(in));
        }

        String next() {
            if (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (final IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }
    }
}