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,*X=map(int,input().split())
S=[input() for i in range(N)]
f=1
d={'AB':(0,1),'AC':(0,2),'BC':(1,2)}
x='ABC'
a=[]
for i in range(N):
    if X[d[S[i]][0]]==1 and X[d[S[i]][1]]==1 and X.count(0)==1 and i<N-1:
        if S[i][0] in S[i+1]:
            X[d[S[i]][0]]+=1
            X[d[S[i]][1]]-=1
            a.append(x[d[S[i]][0]])
        else:
            X[d[S[i]][0]]-=1
            X[d[S[i]][1]]+=1
            a.append(x[d[S[i]][1]])
    elif X[d[S[i]][0]]<X[d[S[i]][1]]:
        X[d[S[i]][0]]+=1
        X[d[S[i]][1]]-=1
        a.append(x[d[S[i]][0]])
    else:
        X[d[S[i]][0]]-=1
        X[d[S[i]][1]]+=1
        a.append(x[d[S[i]][1]])
    if -1 in X:
        f=0;break
print(['No','Yes'][f])
if f:print(*a,sep='\n')