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:
/*
 * @Author: Kaizyn
 * @Date: 2020-05-07 10:19:05
 * @LastEditTime: 2020-05-07 12:45:57
 */
#include <bits/stdc++.h>

// #define DEBUG

using namespace std;

const int N = 1e5+7;

int n;
long long a[3];
string s[N], res;

int main()
{
    cin >> n >> a[0] >> a[1] >> a[2];
    for (int i = 1; i <= n; ++i) cin >> s[i];
    for (int i = 1; i <= n; ++i) {
        int x = s[i][0]-'A', y = s[i][1]-'A';
        if (a[x]+a[y] == 0) return cout << "No\n", 0;
        if (a[y] == 0) swap(x, y);
        if (a[x] && a[y] && i < n && s[i] != s[i+1]) {
            if (s[i+1][0]-'A' == y || s[i+1][1]-'A' == y) swap(x, y);
        }
        ++a[x]; --a[y];
        res += char(x+'A'); res += '\n';
    }
    cout << "Yes\n" << res;
    return 0;
}