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:
def func(S,life):
  #life = life
  ans_chr = []
  for i in range(len(S)):
    
    s = S[i]
    if life[s[0]] > life[s[1]]:
      life[s[0]]-=1
      life[s[1]]+=1
      ans_chr.append(s[1])
      #print(life)
      continue
    elif life[s[0]] < life[s[1]]:
      life[s[1]]-=1
      life[s[0]]+=1
      ans_chr.append(s[0])
      #print(life)
      continue
    else:
      if life[s[0]] ==0 and  life[s[1]] ==0:
        return ["No"]
      else:
        if i==len(S)-1:
          ans_chr.append(s[0])
          continue
        else:
          if s[0] in S[i+1]:
            life[s[1]]-=1
            life[s[0]]+=1
            ans_chr.append(s[0])
            #print(life)
          else:
            life[s[0]]-=1
            life[s[1]]+=1
            ans_chr.append(s[1])
            #print(life)
  return ["Yes",ans_chr]
     
      
            
          

lst = list(map(int,input().split()))
N = lst[0]
A,B,C = lst[1:]
life = {"A":A,"B":B,"C":C}
S = []
for i in range(N):
  s = input()
  S.append(s)
ans = func(S,life)
if ans[0]=="No":
  print("No")
else:
  print("Yes")
  for c in ans[1]:
    print(c)