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=[""]*n
abc=dict()
abc["A"]=a
abc["B"]=b
abc["C"]=c

for i in range(n):
    s[i]=input()

t=[""]*n
yn=""
for i in range(n):
    if abc[s[i][0]]==abc[s[i][1]] and i<n-1:
#        print("1:　s:",s[i],"a:",abc["A"],"b:",abc["B"],"c:",abc["C"])
        if s[i][1] in s[i+1]:
#            print("2:　s:",s[i],"s[i+1]:",s[i+1],"i+1:",i+1)
            t[i]=s[i][1]
            abc[s[i][0]]-=1
            abc[s[i][1]]+=1
            if abc[s[i][0]]<0:
                yn="No"
                break            
        else:
#            print("3:　s:",s[i],"s[i+1]:",s[i+1],"i+1:",i+1)
            t[i]=s[i][0]
            abc[s[i][0]]+=1
            abc[s[i][1]]-=1
            if abc[s[i][1]]<0:
                yn="No"
                break
    elif abc[s[i][0]]>=abc[s[i][1]]:
        t[i]=s[i][1]
        abc[s[i][0]]-=1
        abc[s[i][1]]+=1
        if abc[s[i][0]]<0:
            yn="No"
            break
    else:
        t[i]=s[i][0]
        abc[s[i][0]]+=1
        abc[s[i][1]]-=1
        if abc[s[i][1]]<0:
            yn="No"
            break

#    print(t[i],"a:",abc["A"],"b:",abc["B"],"c:",abc["C"])
#print(t[i],"a:",abc["A"],"b:",abc["B"],"c:",abc["C"])
            
if yn=="No":
    print("No")
else:
    print("Yes")
    for i in range(n):
        print(t[i])