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++ (Clang 10.0.0) (judge verdict: Accepted)

#include <iostream>
#include <string>
#include <vector>

using namespace std;

string s[100005];

vector<char> res;

void print(char c){
	res.push_back(c);
}

int main(){
	int N, A, B, C;
	cin>>N>>A>>B>>C;
	for(int i=1; i<=N; ++i) cin>>s[i];
	if(A + B + C == 0){
		puts("No");
		return 0;
	}
	for(int i=1; i<=N; ++i){
		if(s[i] == "AB"){
			if(A > 1 && B > 1) A++, B--, print('A');
			else if(A > 1 && B <= 1) A--, B++, print('B');
			else if(A <= 1 && B > 1) A++, B--, print('A');
			else if(A == 0 && B == 0){
				puts("No");
				return 0;
			}
			else if(A == 1 && B == 0) A--, B++, print('B');
			else if(A == 0 && B == 1) A++, B--, print('A');
			else{
				if(s[i + 1] == "AC") A++, B--, print('A');
				else if(s[i + 1] == "BC") A--, B++, print('B');
				else A++, B--, print('A');
			}
		}
		else if(s[i] == "AC"){
			if(A > 1 && C > 1) A++, C--, print('A');
			else if(A > 1 && C <= 1) A--, C++, print('C');
			else if(A <= 1 && C > 1) A++, C--, print('A');
			else if(A == 0 && C == 0){
				puts("No");
				return 0;
			}
			else if(A == 1 && C == 0) A--, C++, print('C');
			else if(A == 0 && C == 1) A++, C--, print('A');
			else{
				if(s[i + 1] == "AB") A++, C--, print('A');
				else if(s[i + 1] == "BC") A--, C++, print('C');
				else A++, C--, print('A');
			}
		}
		else if(s[i] == "BC"){
			if(B > 1 && C > 1) B++, C--, print('B');
			else if(B > 1 && C <= 1) B--, C++, print('C');
			else if(B <= 1 && C > 1) B++, C--, print('B');
			else if(B == 0 && C == 0){
				puts("No");
				return 0;
			}
			else if(B == 1 && C == 0) B--, C++, print('C');
			else if(B == 0 && C == 1) B++, C--, print('B');
			else{
				if(s[i + 1] == "AB") B++, C--, print('B');
				else if(s[i + 1] == "AC") B--, C++, print('C');
				else B++, C--, print('B');
			}
		}
	}
	puts("Yes");
	for(int i=0; i<res.size(); ++i) printf("%c\n", res[i]);
	return 0;
}