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(' '))
# print(n,a,b,c)
left=[a,b,c]
ans=[]
prev=(-1,-1)
for i in range(0,n):
    s=input()
    # print(s)
    x = {'A':0,'B':1,'C':2}[s[0]]
    y = {'A':0,'B':1,'C':2}[s[1]]
    if left[x]==left[y]==0:
        x0,y0=prev
        if x0!=-1:
            left[x0]-=1
            left[y0]+=1
            if left[x0]==0:
                ans=[]
                break
            left[x0]-=1
            left[y0]+=1
            ans[len(ans)-1]="ABC"[y0]
        else:
            ans=[]
            break
    if left[x]>left[y]:
        x,y=y,x
    left[x]+=1
    left[y]-=1
    ans.append("ABC"[x])
    prev=(x,y)

if len(ans)==0:
    print("No")
else:
    print("Yes")
    for x in ans:
        print(x)