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.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.List;

public class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] sa = br.readLine().split(" ");
		int n = Integer.parseInt(sa[0]);
		int a = Integer.parseInt(sa[1]);
		int b = Integer.parseInt(sa[2]);
		int c = Integer.parseInt(sa[3]);
		String[] s = new String[n + 5];
		for (int i = 0; i < n; i++) {
			s[i] = br.readLine();
		}
		br.close();

		List<String> list = new ArrayList<>(n);
		label:
		for (int i = 0; i < n; i++) {
			if (a < 0 || b < 0 || c < 0) {
				System.out.println("No");
				return;
			}
			if ("AB".equals(s[i])) {
				if (a > b) {
					list.add("B");
					a--;
					b++;
				} else if (a < b) {
					list.add("A");
					a++;
					b--;
				} else {
					for (int j = i + 1; j < i + 3; j++) {
						if ("AC".equals(s[j])) {
							list.add("A");
							a++;
							b--;
							continue label;
						}
						if ("BC".equals(s[j])) {
							list.add("B");
							a--;
							b++;
							continue label;
						}
					}
					list.add("B");
					a--;
					b++;
				}
			} else if ("AC".equals(s[i])) {
				if (a > c) {
					list.add("C");
					a--;
					c++;
				} else if (a < c) {
					list.add("A");
					a++;
					c--;
				} else {
					for (int j = i + 1; j < i + 3; j++) {
						if ("AB".equals(s[j])) {
							list.add("A");
							a++;
							c--;
							continue label;
						}
						if ("BC".equals(s[j])) {
							list.add("C");
							a--;
							c++;
							continue label;
						}
					}
					list.add("C");
					a--;
					c++;
				}
			} else {
				if (b > c) {
					list.add("C");
					b--;
					c++;
				} else if (b < c) {
					list.add("B");
					b++;
					c--;
				} else {
					for (int j = i + 1; j < i + 3; j++) {
						if ("AB".equals(s[j])) {
							list.add("B");
							b++;
							c--;
							continue label;
						}
						if ("AC".equals(s[j])) {
							list.add("C");
							b--;
							c++;
							continue label;
						}
					}
					list.add("C");
					b--;
					c++;
				}
			}
		}
		if (a < 0 || b < 0 || c < 0) {
			System.out.println("No");
			return;
		}
		PrintWriter pw = new PrintWriter(System.out);
		pw.println("Yes");
		for (String str : list) {
			pw.println(str);
		}
		pw.flush();
	}
}