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 PYTHON3):

Solution:
#!python3

# input
N, A, B, C = list(map(int, input().split()))
S = [input() for _ in range(N)]


def main():
    l = [A, B, C]
    d = {"AB": (0, 1, 2), "AC": (0, 2, 1), "BC": (1, 2, 0)}
    dl = ["A", "B", "C"]
    ans = []
    for n in range(N):
        i, j, k = d[S[n]]
        if l[i] < l[j]:
            l[i] += 1
            l[j] -= 1
            ans.append(dl[i])
        elif l[i] > l[j]:
            l[i] -= 1
            l[j] += 1
            ans.append(dl[j])
        elif l[i] == 0:
            print("No")
            return
        else:
            if n < N - 1 and j == d[S[n + 1]][2]:
                i, j = j, i
            l[i] -= 1
            l[j] += 1
            ans.append(dl[j])
        
    print("Yes")
    print("\n".join(ans))


if __name__ == "__main__":
    main()