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 change(d,ans,X,Y):
    z = {'A': 0, 'B': 1, 'C': 2}
    d[z[X]]+=1
    d[z[Y]]-=1
    ans.append(X)
    return d,ans

n,a,b,c = map(int, input().split())
d = [a,b,c]
q = [input() for i in range(n)]
z = {'A': 0, 'B': 1, 'C': 2}

if sum(d)==0:
    print('No')
elif sum(d)==1:
    ans = []
    for i in range(n):
        X = q[i][0]
        Y = q[i][1]
        if d[z[X]]>0:
            d,ans = change(d,ans,Y,X)
        elif d[z[Y]]>0:
            d,ans = change(d,ans,X,Y)
        else:
            print('No')
            exit()
    print('Yes')
    print('\n'.join(ans))
else:
    ans = []
    X = q[0][0]
    Y = q[0][1]
    if d[z[X]]==d[z[Y]]==0:
        print('No')
        exit()
    for i in range(n-1):
        X = q[i][0]
        Y = q[i][1]
        if d[z[X]]==0:
            d,ans = change(d,ans,X,Y)
        elif d[z[Y]]==0:
            d,ans = change(d,ans,Y,X)
        else:
            if X in q[i+1]:
                d,ans = change(d,ans,X,Y)
            elif Y in q[i+1]:
                d,ans = change(d,ans,Y,X)
    X = q[-1][0]
    Y = q[-1][1]
    if d[z[X]]>0:
        ans.append(Y)
    else:
        ans.append(X)
    print('Yes')
    print('\n'.join(ans))