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(){
    int N; cin >> N;
    int A,B,C; cin >> A >> B >> C;
    
    if(A+B+C==2){
        //先読みが必要
        vector<string> s(N);
        for(int i=0; i<N; i++){
            cin >> s.at(i);
        }
        
        string result;
        
        
        bool ok = true;
        for(int i=0;i<N-1; i++){
            
            if(s.at(i)=="AB"){
                
                if(A==1 && B==1){
                    if(s.at(i+1)=="AC"){
                        A++;
                        B--;
                        result.push_back('A');
                    }else if(s.at(i+1)=="BC"){
                        A--;
                        B++;
                        result.push_back('B');
                    }
                }
                
                else if(A==0 && B==0){
                    cout << "No" << endl;
                    ok = false;
                    break;
                }
                
                else if(A>=B){
                    A--;
                    B++;
                    result.push_back('B');
                }
                else{
                    A++;
                    B--;
                    result.push_back('A');
                }
                
            }else if(s.at(i)=="AC"){
                
                if(A==1 && C==1){
                    if(s.at(i+1)=="AB"){
                        A++;
                        C--;
                        result.push_back('A');
                    }else if(s.at(i+1)=="BC"){
                        A--;
                        C++;
                        result.push_back('C');
                    }
                }
                
                
                else if(A==0 && C==0){
                    cout << "No" << endl;
                    ok = false;
                    break;
                }
                
                else if(A>=C){
                    A--;
                    C++;    result.push_back('C');
                }
                else{
                    A++;
                    C--;
                    result.push_back('A');
                }
            }
            else{
                
                
                if(B==1 && C==1){
                    if(s.at(i+1)=="AB"){
                        B++;
                        C--;
                        result.push_back('B');
                    }else if(s.at(i+1)=="AC"){
                        B--;
                        C++;
                        result.push_back('C');
                    }
                }
                
                
                else if(B==0 && C==0){
                    cout << "No" << endl;
                    ok = false;
                    break;
                }
                
                else if(B>=C){
                    B--;
                    C++;
                    result.push_back('C');
                }
                else{
                    B++;
                    C--;
                    result.push_back('B');
                }
            }
        }//for
        
        if(ok){
            
            cout << "Yes" << endl;
            
            for(int i=0; i<result.size(); i++){
                cout << result.at(i) << endl;
            }
            
            
        }
        
        
        
        
    }else{
        
        string s;
        string result;
        
        
        bool ok = true;
        for(int i=0;i<N; i++){
            cin >> s;
            
            if(s=="AB"){
                if(A==0 && B==0){
                    cout << "No" << endl;
                    ok = false;
                    break;
                }
                
                if(A>=B){
                    A--;
                    B++;
                    result.push_back('B');
                }
                else{
                    A++;
                    B--;
                    result.push_back('A');
                }
                
            }else if(s=="AC"){
                
                if(A==0 && C==0){
                    cout << "No" << endl;
                    ok = false;
                    break;
                }
                
                if(A>=C){
                    A--;
                    C++;    result.push_back('C');
                }
                else{
                    A++;
                    C--;
                    result.push_back('A');
                }
            }
            else{
                
                if(B==0 && C==0){
                    cout << "No" << endl;
                    ok = false;
                    break;
                }
                
                if(B>=C){
                    B--;
                    C++;
                    result.push_back('C');
                }
                else{
                    B++;
                    C--;
                    result.push_back('B');
                }
            }
        }//for
        
        if(ok){
            
            cout << "Yes" << endl;
            
            for(int i=0; i<result.size(); i++){
                cout << result.at(i) << endl;
            }
            
            
        }
        
    }//else
    //cout << ans << endl;
    return 0;
}