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(' '))
S = [input() for i in range(N)]
ans = []
if A+B+C==0:
    print('No')
else:
    d = {"A":A,"B":B,"C":C}
    for n,i in enumerate(S):
        l,r=list(i)
        L,R=d[l],d[r]
        if L==R==0:
            print('No')
            exit()
        elif L==0:
            ans.append(l)
            d[l] +=1
            d[r] -=1
        elif R==0:
            d[l] -=1
            d[r] +=1
            ans.append(r)
        elif L==R==1 and n != N-1 and i != S[n+1]:
            if l in S[n+1]:
                d[l] +=1
                d[r] -=1
                ans.append(l)
            else:
                d[l] -=1
                d[r] +=1
                ans.append(r)
        else:
            if L>=R:
                d[l] -=1
                d[r] +=1
                ans.append(r)
            else:
                d[l] +=1
                d[r] -=1
                ans.append(l)
    print('Yes')
    for i in ans:
        print(i)