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>
#define ll long long
#define pii pair<int,int>
#define fastcin  ios_base::sync_with_stdio(false); cin.tie(NULL);
using namespace std;
 
int main(){
 
	fastcin
	
	int n, a, b, c;
	cin >> n >> a >> b >> c;
	
	string v[n];
	
	for(int i=0; i<n; i++) cin >> v[i];
	
	
	bool flag = true;
	char ans[n];
	for(int i=0; i<n; i++){
		string s = v[i];
		
		if(s == "AB"){
			
			if(a == 0 and b == 0){
				flag = false;
				break;
			}
			
			if(a == 1 and b == 1 and c == 0 and i+1 < n){
				if(v[i+1] == "BC"){
					b++;
					a--;
					ans[i] = 'B';
				}
				else if(v[i+1] == "AC" or v[i+1] == "AB"){
					a++;
					b--;
					ans[i] = 'A';
				}
			}
			else if(a <= b){
				a++;
				b--;
				ans[i] = 'A';
			}
			else{
				b++;
				a--;
				ans[i] = 'B';
			}
			
		}
		else if(s == "AC"){
			
			if(a == 0 and c == 0){
				flag = false;
				break;
			}
			
			if(a == 1 and b == 0 and c == 1 and i+1 < n){
				if(v[i+1] == "BC"){
					c++;
					a--;
					ans[i] = 'C';
				}
				else if(v[i+1] == "AC" or v[i+1] == "AB"){
					a++;
					c--;
					ans[i] = 'A';
				}
			}
			else if(a <= c){
				a++;
				c--;
				ans[i] = 'A';
			}
			else{
				c++;
				a--;
				ans[i] = 'C';
			}
		}
		else{
			
			if(b == 0 and c == 0){
				flag = false;
				break;
			}
			
			if(a == 0 and b == 1 and c == 1 and i+1 < n){
				if(v[i+1] == "AB"){
					b++;
					c--;
					ans[i] = 'B';
				}
				else if(v[i+1] == "AC" or v[i+1] == "BC"){
					c++;
					b--;
					ans[i] = 'C';
				}
			}
			else if(b <= c){
				b++;
				c--;
				ans[i] = 'B';
			}
			else{
				c++;
				b--;
				ans[i] = 'C';
			}
		}	
		
		
	}
	
	if(!flag) cout << "No" << endl;
	else{
		cout << "Yes" << endl;
		
		for(int i=0; i<n; i++) cout << ans[i] << endl;
	}
	
	      
	return 0;
}