Problem:
Score : 600 points

Problem Statement

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.

Sample Input 1

2 1 3 0
AB
AC

Sample Output 1

Yes
A
C

You can successfully make two choices, as follows:

In the first choice, add 1 to A and subtract 1 from B. A becomes 2, and B becomes 2.

In the second choice, add 1 to C and subtract 1 from A. C becomes 1, and A becomes 1.

Sample Input 2

3 1 0 0
AB
BC
AB

Sample Output 2

No

Sample Input 3

1 0 9 0
AC

Sample Output 3

No

Sample Input 4

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB

Sample Output 4

Yes
C
B
B
C
C
B
A
A

Solution in C (GCC 9.2.1) (judge verdict: Accepted)

#include<stdio.h>
#include<stdlib.h>
#include<math.h>
#include<string.h>
#define F(i,a,n) for(int i=a; i<n; i++)
#define INF 100000000000 // long only


int main(){
  int n;
  long a,b,c;
  scanf("%d%ld%ld%ld",&n,&a,&b,&c);
  char s[n][3];
  F(i,0,n) scanf("%s",s[i]);
  int fab=0,fbc=0,fca=0;
  char ans[n];
  F(i,0,n){
    if(strcmp(s[i],"AB")==0){
      if(a==0 && b==0){
        printf("No\n");
        return 0;
      }
      if(a>b){
        ans[i]='B';
        a--;
        b++;
      }else if(a<b){
        ans[i]='A';
        a++;
        b--;
      }else{
        if(i+1<n && strcmp(s[i+1],"BC")==0 && a==1 && b==1 && c==0){
          ans[i]='B';
          a--;
          b++;
        }else{
          ans[i]='A';
          a++;
          b--;
        }
      }
    }else if(strcmp(s[i],"BC")==0){
      if(c==0 && b==0){
        printf("No\n");
        return 0;
      }
      if(b>c){
        ans[i]='C';
        b--;
        c++;
      }else if(b<c){
        ans[i]='B';
        b++;
        c--;
      }else{
        if(i+1<n && strcmp(s[i+1],"AC")==0 && a==0 && b==1 && c==1){
          ans[i]='C';
          c++;
          b--;
        }else{
          ans[i]='B';
          b++;
          c--;
        }
      }
    }else{
      if(a==0 && c==0){
        printf("No\n");
        return 0;
      }
      if(a>c){
        ans[i]='C';
        a--;
        c++;
      }else if(a<c){
        ans[i]='A';
        a++;
        c--;
      }else{
        if(i+1<n && strcmp(s[i+1],"AB")==0 && a==1 && b==0 && c==1){
          ans[i]='A';
          a++;
          c--;
        }else{
          ans[i]='C';
          c++;
          a--;
        }
      }
    }
  }
  printf("Yes\n");
  F(i,0,n)printf("%c\n",ans[i]);
  return 0;
}