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())

ss = []
for i in range(n):
    ss.append(input())

ans = []
tower = [a,b,c]
s2num = {"AB":[0,1],"BC":[1,2],"AC":[0,2]}
num2s = {0:"A",1:"B",2:"C"}
flag =True

def check_large(l,r,t):
    if t[l]>t[r]:
        return l,r,False
    elif t[l]<t[r]:
        return r,l,False
    else:
        return l,r,True

for i in range(n):
    s = ss[i]
    l,r = s2num[s]
    big,small,f = check_large(l,r,tower)
    if f:
        if i+1 < n:
            nex = s2num[ss[i+1]]
            if big in nex:
                small,big = big,small

    if tower[big] <= 0:
        flag = False
        break
    else:
        tower[big]-=1
        tower[small]+=1
        ans.append(num2s[small])

if flag:
    print("Yes")
    for i in range(n):
        print(ans[i])
else:
    print("No")