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:
//make sure to make new file!
import java.io.*;
import java.util.*;

public class Main{
   
   public static ArrayList<Character> answer;
   public static long a;
   public static long b;
   public static long c;
   
   public static void main(String[] args)throws IOException{
      BufferedReader f = new BufferedReader(new InputStreamReader(System.in));
      PrintWriter out = new PrintWriter(System.out);
      
      StringTokenizer st = new StringTokenizer(f.readLine());
      
      int n = Integer.parseInt(st.nextToken());
      a = Long.parseLong(st.nextToken());
      b = Long.parseLong(st.nextToken());
      c = Long.parseLong(st.nextToken());
      
      answer = new ArrayList<Character>();
      
      String[] array = new String[n];
      for(int k = 0; k < n; k++){
         array[k] = f.readLine();
      }
      
      for(int k = 0; k < n; k++){
         String s = array[k];
         
         if(s.equals("AB")){
            if(a == 0 && b == 0){
               out.println("No");
               out.close();
               return;
            }
            
            if(a > b){
               calc('B','A');
            } else if(a < b){
               calc('A','B');
            } else {
               if(a==1 && k < n-1 && (array[k+1].equals("AC") || array[k+1].equals("BC"))){
                  if(array[k+1].equals("AC")){
                     calc('A','B');
                  } else {
                     calc('B','A');
                  }
               } else {
                  calc('B','A');//random
               }
            }
         } else if(s.equals("AC")){
            if(a == 0 && c == 0){
               out.println("No");
               out.close();
               return;
            }
            
            if(a > c){
               calc('C','A');
            } else if(a < c){
               calc('A','C');
            } else {
               if(a==1 && k < n-1 && (array[k+1].equals("AB") || array[k+1].equals("BC"))){
                  if(array[k+1].equals("AB")){
                     calc('A','C');
                  } else {
                     calc('C','A');
                  }
               } else {
                  calc('C','A');//random
               }
            }
         } else {
            if(b == 0 && c == 0){
               out.println("No");
               out.close();
               return;
            }
            
            if(b > c){
               calc('C','B');
            } else if(b < c){
               calc('B','C');
            } else {
               if(b==1 && k < n-1 && (array[k+1].equals("AB") || array[k+1].equals("AC"))){
                  if(array[k+1].equals("AB")){
                     calc('B','C');
                  } else {
                     calc('C','B');
                  }
               } else {
                  calc('C','B');//random
               }
            }
         }
      }
      
      out.println("Yes");
      for(char ch : answer){
         out.println(ch);
      }
      
      
      
      
      
      
      out.close();
   }
   
   public static void calc(char c1, char c2){
      answer.add(c1);
      if(c1 == 'A') a++;
      if(c1 == 'B') b++;
      if(c1 == 'C') c++;
      if(c2 == 'A') a--;
      if(c2 == 'B') b--;
      if(c2 == 'C') c--;
      
   }
   
      
}