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 long int n,a,b,c;
    cin>>n>>a>>b>>c;
    vector <char> chc;
    long long int l=0;
    int flag =1;
    while(n--){
        string s;
        cin>>s;
        if(s=="AB"){
            if(a==0 && b==0){
                flag =0;
                break;
            }
            if((a>0 && b>0)||(a==0 || b==0)){
                if(a>b){
                    a = a-1;
                    b = b+1;
                    chc.push_back('B');
                }
                else{
                    a = a+1;
                    b = b-1;
                    chc.push_back('A');
                }
            }
        }
        else if(s=="AC"){
            if(a==0 && c==0){
                flag =0;
                break;
            }
            if((a>0 && c>0)||(a==0 || c==0)){
                if(a>c){
                    a = a-1;
                    c = c+1;
                    chc.push_back('C');
                }
                else{
                    a = a+1;
                    c = c-1;
                    chc.push_back('A');
                }
            }
        }
        else{
            if(b==0 && c==0){
                flag =0;
                break;
            }
            if((b>0 && c>0)||(b==0 || c==0)){
                if(b>c){
                    b = b-1;
                    c = c+1;
                    chc.push_back('C');
                }
                else{
                    b = b+1;
                    c = c-1;
                    chc.push_back('B');
                }
            }
        }
        l++;
    }
    if(a>=0 && b>=0 && c>=0 && flag==1){
        cout<<"Yes"<<endl;
        for(int i=0; i<chc.size();i++)
            cout<<chc[i]<<endl;
    }
    else{
        cout<<"No"<<endl;
    }
}