Problem: 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.

Examples

Input

2 1 3 0
AB
AC


Output

Yes
A
C


Input

3 1 0 0
AB
BC
AB


Output

No


Input

1 0 9 0
AC


Output

No


Input

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB


Output

Yes
C
B
B
C
C
B
A
A

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;

int X[100010], Y[100010];

int main () {
	int n, a[3]; scanf("%d%d%d%d", &n, &a[0], &a[1], &a[2]);
	vector <char> ans;
	for (int i = 0; i < n; i++) {
		char buf[5]; scanf("%s", buf);
		int x = buf[0] - 'A', y = buf[1] - 'A';
		X[i] = x, Y[i] = y;
	}
	for (int i = 0; i < n; i++) {
		int x = X[i], y = Y[i];
		if (a[x] > a[y] || a[x] == a[y] && (X[i + 1] == y || Y[i + 1] == y)) ans.push_back(y + 'A'), a[x]--, a[y]++;
		else ans.push_back(x + 'A'), a[x]++, a[y]--;
		if (a[x] < 0 || a[y] < 0) {
			printf("No\n");
			return 0;
		}
	}
	printf("Yes\n");
	for (int i = 0; i < n; i++) {
		printf("%c\n", ans[i]);
	}
	return 0;
}