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: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;

int main() {
  long N,A,B,C;cin>>N>>A>>B>>C;
  bool ans=true;
  vector<string> s(N);
  vector<string> te(0);
  for(int i=0;i<N;i++){
    cin>>s[i];
    if(s[i]=="AB"){
      if(A<B){
        A++;B--;te.push_back("A");
      }else{
        A--;B++;te.push_back("B");
      }
    }else if(s[i]=="AC"){
      if(A<C){
        A++;C--;te.push_back("A");
      }else{
        A--;C++;te.push_back("C");
      }
    }else if(s[i]=="BC"){
      if(B<C){
        B++;C--;te.push_back("B");
      }else{
        B--;C++;te.push_back("C");
      }
    }
    if(A<0||B<0||C<0)ans=false;
  }
  cout<<(ans?"Yes":"No")<<endl;
  if(ans){
    for(int i=0;i<te.size();i++){
      cout<<te[i]<<endl;
    }
  }
}