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, A, B, C = map(int, input().split())
vars = {"A": A, "B": B, "C": C}
sum_ABC = A+B+C
S = [input() for _ in range(N)]
Ans = []
for s, s_next in zip(S, S[1:]):
    if vars[s[0]] > vars[s[1]] or (vars[s[0]]==vars[s[1]] and s[1] in s_next):
        Ans.append(s[1])
        vars[s[1]] += 1
        vars[s[0]] -= 1
    else:# vars[s[0]] < vars[s[1]]:
        Ans.append(s[0])
        vars[s[0]] += 1
        vars[s[1]] -= 1
    if vars[s[0]] < 0 or vars[s[1]] < 0:
        print("No")
        exit()
s = S[-1]
if vars[s[0]] > vars[s[1]]:
    Ans.append(s[1])
    vars[s[1]] += 1
    vars[s[0]] -= 1
else:
    Ans.append(s[0])
    vars[s[0]] += 1
    vars[s[1]] -= 1
if vars[s[0]] < 0 or vars[s[1]] < 0:
    print("No")
    exit()
print("Yes")
print("\n".join(Ans))