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 = list(map(int, input().split()))
X = [A,B,C]
ANS = []

flg = True
D = []
pat = {'AB':[0,1], 'BC':[1,2], 'AC':[0,2]}

for i in range(N):
  l = input()
  D.append(pat[l])
  
for i in range(N):
  ai, bi = D[i]
  an, bn = D[i+1] if i < N-1 else [0,1] # nanndemoyoi

  if X[ai] == 0 and X[bi] == 0:
    flg = False
    break
  elif X[ai] == 0:
    ANS.append(ai)
    X[ai] += 1
    X[bi] -= 1
  elif X[bi] == 0:
    ANS.append(bi)
    X[bi] += 1
    X[ai] -= 1
  else:
    if ai == an or ai == bn:
      pl, mi = ai, bi
    else:
      pl, mi = bi, ai
    # 先読みで使う方
    ANS.append(pl)
    X[pl] += 1
    X[mi] -= 1
      
if not flg:
  print('No')
else:
  print('Yes')
  dd = {0:'A', 1:'B', 2:'C'}
  for ans in ANS:
    print(dd[ans])