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:
def main():
    N, A, B, C = map(int, input().split())
    variables = {
        "A": A,
        "B": B,
        "C": C
    }
    ans = [None] * N
    S = [None] * N
    for i in range(N):
        S[i] = input()
    for i in range(N):
        c1, c2 = S[i]
        if variables[c1] == variables[c2] == 0:
            print("No")
            return
        elif variables[c1] == variables[c2] and i+1 < N:
            if c1 in S[i+1]:
                ans[i] = c1
                variables[c1] += 1
                variables[c2] -= 1
            else:
                ans[i] = c2
                variables[c1] -= 1
                variables[c2] += 1
        elif variables[c1] > variables[c2]:
            ans[i] = c2
            variables[c1] -= 1
            variables[c2] += 1
        else:
            ans[i] = c1
            variables[c1] += 1
            variables[c2] -= 1
    print("Yes")
    for i in range(N):
        print(ans[i])


if __name__ == "__main__":
    main()