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())

hashmap=dict()
hashmap={"A":A,"B":B,"C":C}
arr=[int(0) for i in range(N)]
for i in range(N):
    arr[i]=input()
    
output=[]

for i in range(N):
    string=arr[i]
    first=string[0]
    second=string[1]

    if hashmap[first]==0 and hashmap[second]==0:
        print("No")
        break
    elif hashmap[first]==0:
        hashmap[first]+=1
        hashmap[second]-=1
        output.append(first)
    elif hashmap[second]==0:
        hashmap[second]+=1
        hashmap[first]-=1
        output.append(second)
    elif i<N-1 and (first in arr[i+1]):
        hashmap[first]+=1
        hashmap[second]-=1
        output.append(first)
    elif i<N-1 and (second in arr[i+1]):
        hashmap[second]+=1
        hashmap[first]-=1
        output.append(second)
    else:
        output.append(first)
else:
    print("Yes")
    for i in output:
        print(i)