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: Runtime Error)

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

int main() {
	int n, ko_do;
	vector<int> d(3);
	cin >> n >> d[0] >> d[1] >> d[2];
	vector<pair<int, int>> q;
	for (int i = 0; i < n; i++) {
		string s;
		cin >> s;
		int a = 0, b = 1;
		if (s == "AB") a = 0, b = 1;
		if (s == "AC") a = 0; b = 2;
		if (s == "BC") a = 1, b = 2;
		q.emplace_back(a, b);
	}
	string ans;
	auto add = [&](int a, int b) {
		d[a]++;
		d[b]--;
		ans += "A" + a;
	};

	q.emplace_back(0, 1);
	for (int i = 0; i < n; i++) {
		int a = q[i].first;
		int b = q[i].second;
		if (d[a] == 0 && d[b] == 0) {
			cout << "NO" << endl;
			return 0;
		}
		if(d[a] == 0){
			add(a, b);
		}
		else if (d[b] == 0) {
			add(a, b);
		}
		else {
			int na = q[i + 1].first;
			int nb = q[i + 1].second;
			if (a == na || a == nb) {
				add(a, b);
			}
			else {
				add(b, a);
			}
		}
	}
	cout << "YES" << endl;
	for (int i = 0; i < n; i++)
	    cout << ans[i] << endl;
	return 0;
}