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: Accepted)

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

#define REP(i, n) for(int i = 0; i < n; i++)
#define REPR(i, n) for(int i = n; i >= 0; i--)
#define FOR(i, m, n) for(int i = m; i < n; i++)
#define ALL(obj) (obj).begin(), (obj).end()
#define INF 1e9
typedef long long ll;

int main() {
    ll N,A,B,C;
    cin >> N >> A >> B >> C;
    vector<char> ans;
    while(N>0){
        string S;
        cin >> S;
        if (S == "AB"){
            if(A==1 && B==1 && N!=1){
                string ns;
                cin >> ns;
                if(ns=="AB"){
                    ans.push_back('A');
                    ans.push_back('B');
                    N--;
                }else if(ns=="AC"){
                    ans.push_back('A');
                    ans.push_back('C');
                    B--;
                    C++;
                    N--;
                }else if(ns=="BC"){
                    ans.push_back('B');
                    ans.push_back('C');
                    A--;
                    C++;
                    N--;
                }
            }else if(A==0 && B==0){
                cout << "No" << endl;
                return 0;
            }else{
                if(A>=B){
                    ans.push_back('B');
                    A--;
                    B++;
                }else{
                    ans.push_back('A');
                    A++;
                    B--;
                }
            }
        }else if(S == "AC"){
            if(A==1 && C==1 && N!=1){
                string ns;
                cin >> ns;
                if(ns=="AB"){
                    ans.push_back('A');
                    ans.push_back('B');
                    C--;
                    B++;
                    N--;
                }else if(ns=="AC"){
                    ans.push_back('A');
                    ans.push_back('C');
                    N--;
                }else if(ns=="BC"){
                    ans.push_back('C');
                    ans.push_back('B');
                    A--;
                    B++;
                    N--;
                }
            }else if(A==0 && C==0){
                cout << "No" << endl;
                return 0;
            }else{
                if(A>=C){
                    ans.push_back('C');
                    A--;
                    C++;
                }else{
                    ans.push_back('A');
                    A++;
                    C--;
                }
            }
        }else if(S == "BC"){
            if(B==1 && C==1 && N!=1){
                string ns;
                cin >> ns;
                if(ns=="AB"){
                    ans.push_back('B');
                    ans.push_back('A');
                    C--;
                    A++;
                    N--;
                }else if(ns=="AC"){
                    ans.push_back('C');
                    ans.push_back('A');
                    B--;
                    A++;
                    N--;
                }else if(ns=="BC"){
                    ans.push_back('B');
                    ans.push_back('C');
                    N--;
                }
            }else if(B==0 && C==0){
                cout << "No" << endl;
                return 0;
            }else{
                if(B>=C){
                    ans.push_back('C');
                    B--;
                    C++;
                }else{
                    ans.push_back('B');
                    B++;
                    C--;
                }
            }
        }
        N--;
    }
    cout << "Yes" << endl;

    for(auto c: ans){
        cout << c << endl;
    }
    return 0;
}