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 {
	public static void main (String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int a = sc.nextInt();
		int b = sc.nextInt();
		int c = sc.nextInt();
		int[] types = new int[n];
		for (int i = 0; i < n; i++) {
		    String s = sc.next();
		    if (s.equals("AB")) {
		        types[i] = 0;
		    } else if (s.equals("AC")) {
		        types[i] = 1;
		    } else {
		        types[i] = 2;
		    }
		}
		StringBuilder sb = new StringBuilder();
		for (int i = 0; i < n; i++) {
		    switch (types[i]) {
		        case 0:
		            if (a == 0) {
		                if (b == 0) {
		                    System.out.println("No");
		                    return;
		                }
		                a++;
		                b--;
		                sb.append("A");
		            } else if (b == 0) {
		                b++;
		                a--;
		                sb.append("B");
		            } else {
		                if (i != n - 1 && types[i + 1] == 2) {
		                    b++;
		                    a--;
		                    sb.append("B");
		                } else {
		                    a++;
		                    b--;
		                    sb.append("A");
		                }
		            }
		            break;
		        case 1:
		            if (a == 0) {
		                if (c == 0) {
		                    System.out.println("No");
		                    return;
		                }
		                a++;
		                c--;
		                sb.append("A");
		            } else if (c == 0) {
		                c++;
		                a--;
		                sb.append("C");
		            } else {
		                if (i != n - 1 && types[i + 1] == 2) {
		                    c++;
		                    a--;
		                    sb.append("C");
		                } else {
		                    a++;
		                    c--;
		                    sb.append("A");
		                }
		            }
		            break;
		        case 2:
		            if (b == 0) {
		                if (c == 0) {
		                    System.out.println("No");
		                    return;
		                }
		                b++;
		                c--;
		                sb.append("B");
		            } else if (c == 0) {
		                c++;
		                b--;
		                sb.append("C");
		            } else {
		                if (i != n - 1 && types[i + 1] == 0) {
		                    b++;
		                    c--;
		                    sb.append("B");
		                } else {
		                    c++;
		                    b--;
		                    sb.append("C");
		                }
		            }
		            break;
		    }
		    sb.append("\n");
		}
		System.out.println("Yes");
		System.out.print(sb);
	}
}