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;
typedef long long ll;
#define pb push_back
#define mp make_pair
const int maxn = 1e5+10;
const int mod = 1e9+7;
const int INF = 0x3f3f3f3f;
int d[4][2]={1,0,0,1,-1,0,0,-1};
int n;
ll a,b,c;
string s[maxn];
int main() {
    ios::sync_with_stdio(0);
    #ifdef Uncle_drew
    freopen("in.txt","r",stdin);
    freopen("out.txt","w",stdout);
    #else
    #endif
    string ans;
    cin>>n>>a>>b>>c;
    for(int i=0;i<n;i++) cin>>s[i];
    for(int i=0;i<n;i++){
//    	if (a==1&&b==1){
//			if (s[i+1]=="BC"){
//    			a--,b++,ans+="B\n";
//			}
//			else{
//    			b--,a++,ans+="A\n";
//			}
//			continue;
//		}
//		if (a==1&&c==1){
//			if (s[i+1]=="BC"){
//    			a--,c++,ans+="C\n";
//			}
//			else{
//    			c--,a++,ans+="A\n";
//			}
//			continue;
//		}
//		if (b==1&&c==1){
//			if (s[i+1]=="AC"){
//    			b--,c++,ans+="C\n";
//			}
//			else{
//    			c--,b++,ans+="B\n";
//			}
//			continue;
//		}
        if(s[i]=="AB"){
            if(a>b) a--,b++,ans+="B\n";
            else b--,a++,ans+="A\n";
        }
        if(s[i]=="AC"){
            if(a>c) a--,c++,ans+="C\n";
            else c--,a++,ans+="A\n";
        }
        if(s[i]=="BC"){
            if(c>b) c--,b++,ans+="B\n";
            else b--,c++,ans+="C\n";
        }
        if(a<0||b<0||c<0){
            cout<<"No";
            return 0;
        }
    }
    cout<<"Yes\n"<<ans<<endl;
    return 0;
}