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:
N, *abc = map(int, input().split())
s = [input() for _ in range(N)]

ans = ["Yes"]

for i, si in enumerate(s):
    indices = [ord(sii) - 65 for sii in si]
    if sum(abc[ind] for ind in indices) == 0:
        ans = ["No"]
        break
    if min(abc[ind] for ind in indices) == 0:
        if abc[indices[1]]:
            ans.append(chr(65 + indices[0]))
            abc[indices[0]] += 1
            abc[indices[1]] += -1
        else:
            ans.append(chr(65 + indices[1]))
            abc[indices[1]] += 1
            abc[indices[0]] += -1
    elif i < N - 1 and si != s[i + 1]:
        adding = set(si) & set(s[i + 1])
        if len(adding) == 0:
            adding = si[0]
        else:
            adding = adding.pop()
        ans.append(adding)
        abc[ord(adding) - 65] += 1
        abc[-65 + ord(si[1 - si.index(adding)])] += -1
    else:
        adding = si[0]
        ans.append(adding)
        abc[ord(adding) - 65] += 1
        abc[-65 + ord(si[1 - si.index(adding)])] += -1
    # print(si, *abc)
print(*ans, sep="\n")
pass