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())
r=[A,B,C]
g=list()
for i in range(n):
    g.append(str(input()))
    
def re(string):
    if string=="AB":
        return(0,1)
    elif string=="AC":
        return(0,2)
    else:
        return(1,2)
    
def al(num):
    if num==0:
        return "A"
    elif num==1:
        return "B"
    else:
        return "C"
    
flag=0
result=list()
for i in range(n):
    a,b=re(g[i])
    if r[a]==0 and r[b]==0:
        print("No")
        flag=1
        break
    elif r[a]>r[b]:
        r[a]-=1
        r[b]+=1
        result.append(al(b))
    elif r[a]<r[b]:
        r[a]+=1
        r[b]-=1
        result.append(al(a))
    else:
        if i+1==n:
            r[a]+=1
            r[b]-=1
            result.append(al(a))
            break
        x,y=re(g[i+1])
        if (x,y)==(a,b):
            r[a]+=1
            r[b]-=1
            result.append(al(a))
        else:
            if x in (a,b):
                r[x]+=2
                r[a]-=1;r[b]-=1
                result.append(al(x))
            else:
                r[y]+=2
                r[a]-=1;r[b]-=1
                result.append(al(y))
        
if flag==0:
    print("Yes")
    for item in result:
        print(item)