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 <iostream>
#include <vector>
#include <algorithm>
#include <stack>
#include <map>
using namespace std;
typedef long long int ll;

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n; cin >> n;
    int a,b,c; cin >> a >> b >> c;
    vector<string> s(n);
    for(int i=0;i<n;i++){
        cin >> s[i];
    }
    vector<char> res;
    if(a+b+c==0){
        printf("No\n");
        return 0;
    }
    else{
        for(int i=0;i<n;i++){
            if(s[i]=="AB"){
                if(a+b==0){
                    printf("No\n");
                    return 0;
                }
                if(a==0){
                    a++;
                    b--;
                    res.push_back('A');
                }
                else if(b==0){
                    a--;
                    b++;
                    res.push_back('B');
                }
                else if(i+1<n){
                    if(s[i+1]=="AB"){
                        a++;
                        b--;
                        res.push_back('A');
                    }
                    else if(s[i+1]=="BC"){
                        b++;
                        a--;
                        res.push_back('B');
                    }
                    else{
                        a++;
                        b--;
                        res.push_back('A');
                    }
                }
                else{
                    if(a){
                        res.push_back('A');
                    }else{
                        res.push_back('B');
                    }
                }
            }
            else if(s[i]=="BC"){
                if(b+c==0){
                    printf("No\n");
                    return 0;
                }
                if(b==0){
                    b++;
                    c--;
                    res.push_back('B');
                }
                else if(c==0){
                    b--;
                    c++;
                    res.push_back('C');
                }
                else if(i+1<n){
                    if(s[i+1]=="AB"){
                        b++;
                        c--;
                        res.push_back('B');
                    }
                    else if(s[i+1]=="BC"){
                        b++;
                        c--;
                        res.push_back('B');
                    }
                    else{
                        c++;
                        b--;
                        res.push_back('C');
                    }
                }
                else{
                    if(b){
                        res.push_back('B');
                    }
                    else{
                        res.push_back('C');
                    }
                }
            }
            else{
                if(a+c==0){
                    printf("No\n");
                    return 0;
                }
                if(a==0){
                    a++;
                    c--;
                    res.push_back('A');
                }
                else if(c==0){
                    c++;
                    a--;
                    res.push_back('C');
                }
                else if(i+1<n){
                    if(s[i+1]=="AB"){
                        a++;
                        c--;
                        res.push_back('A');
                    }
                    else if(s[i+1]=="BC"){
                        c++;
                        a--;
                        res.push_back('C');
                    }
                    else{
                        c++;
                        a--;
                        res.push_back('C');
                    }
                }
                else{
                    if(a){
                        res.push_back('A');
                    }
                    else{
                        res.push_back('C');
                    }
                }
            }
        }
    }
    printf("Yes\n");
    for(int i=0;i<n;i++){
        printf("%c\n",res[i]);
    }
}