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;

#define rep(i,n) for(i = 0;i < n;++i)
#define all(v) v.begin(), v.end()
using ll = long long;

int main()
{
    ll i,j;
    ll n,a,b,c;
    cin >> n >> a >> b >> c;
    ll ab = a+b;
    ll bc = b+c;
    ll ca = c+a;
    string ans;
    for(i = 0;i < n;++i){
        string s;
        cin >> s;
        if(s == "AB"){
            if(ab <= 0){
                cout << "No" << endl;
                return 0;
            }
            if(bc > ca){
                ans.push_back('A');
                --bc;   ++ca;
            }else{
                ans.push_back('B');
                ++bc;   --ca;       
            }
        }else if(s == "BC"){
            if(bc <= 0){
                cout << "No" << endl;
                return 0;
            }
            if(ca > ab){
                ans.push_back('B');
                --ca;   ++ab;
            }else{
                ans.push_back('C');
                ++ca;   --ab;      
            }
        }else if(s == "AC"){
            if(ca <= 0){
                cout << "No" << endl;
                return 0;
            }
            if(ab > bc){
                ans.push_back('C');
                --ab;   ++bc;
            }else{
                ans.push_back('A');
                ++ab;   --bc;      
            }
        }
    }
    cout << "Yes" << endl;
    for(i = 0;i < ans.size();++i){
        cout << ans.at(i) << endl;
    }
    return 0;
}