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>
#define inf 1000000000000
#define int long long int
#define hell (int)(1e9+7)

using namespace std;

void solve(){
    int n,a,b,c;
    cin>>n>>a>>b>>c;
    vector <char> res;
    for(int i=1;i<=n;i++){
        string s;
        cin>>s;
        if(s=="AB"){
            if(a>b){
                b++;
                a--;
                res.push_back('b');
            }
            else{
                a++;
                b--;
                res.push_back('a');
            }
        }
        else if(s=="BC"){
            if(b>c){
                c++;
                b--;
                res.push_back('c');
            }
            else{
                b++;
                c--;
                res.push_back('b');
            }
        }
        else{
            if(a>c){
                c++;
                a--;
                res.push_back('c');
            }
            else{
                a++;
                c--;
                res.push_back('a');
            }
        }
        if(a<0||b<0||c<0){
            cout<<"No";
            return;
        }
    }
    cout<<"Yes\n";
    for(char c:res){
        c-=32;
        cout<<c<<"\n";
    }
}

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t;
    //cin>>t;
    t=1;
    while(t--){
        solve();
    }
    return 0;
}