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 = list(map(int, input().split()))
    S = [{'AB':(0, 1), 'BC': (1, 2), 'AC': (0, 2)}[input()] for _ in range(N)]
    ABC = [A, B, C]
    RR = ['A', 'B', 'C']
    R = []
    for i, (s1, s2) in enumerate(S):
        if ABC[s1] == 0 and ABC[s2] == 0:
            return False, None
        if ABC[s1] < ABC[s2]:
            s1, s2 = s2, s1
        if A + B + C == 2 and ABC[s1] == 1 and ABC[s2] == 1 and i < N - 1 and S[i] != S[i + 1]:
            s1n, s2n = S[i + 1]
            if s1 in [s1n, s2n]:
                s1, s2 = s2, s1
        ABC[s1] -= 1
        ABC[s2] += 1
        R.append(RR[s2])
    return True, R

a, s = main()
if not a:
    print('No')
else:
    print('Yes')
    print('\n'.join(s))