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=[int(x) for x in input().split()]
S=[input() for i in range(n)]
ans=""
for i in range(n):
  s=S[i]
  if s=="AB":
    if a==0 and b==0:
      print("No")
      exit()
    elif a>b:
      ans+="B\n"
      a-=1
      b+=1
    elif b>a:
      ans+="A\n"
      a+=1
      b-=1
    else:
      if i+1<n and S[i+1]=="AC":
         ans+="A\n"
         a+=1
         b-=1
      else:
         ans+="B\n"
         a-=1
         b+=1
  elif s=="AC":
    if a==0 and c==0:
      print("No")
      exit()
    elif a>c:
      ans+="C\n"
      a-=1
      c+=1
    elif c>a:
      ans+="A\n"
      a+=1
      c-=1
    else:
        if i+1<n and S[i+1]=="BC":
            ans+="C\n"
            a-=1
            c+=1
        else:
            ans += "A\n"
            a+=1
            c-=1
  elif s=="BC":
    if c==0 and b==0:
      print("No")
      exit()
    elif c>b:
      ans+="B\n"
      c-=1
      b+=1
    elif b>c:
      ans+="C\n"
      c+=1
      b-=1
    else:
        if i+1<n and S[i+1]=="AB":
            ans += "B\n"
            b+=1
            c-=1
        else:
            ans+="C\n"
            c+=1
            b-=1
print("Yes")
print(ans,end="")