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()))
s = [input() for i in range(N)]

u = ["A","B","C"]
ss = ["BC","AC","AB"]
t = [A,B,C]
trace = []
ans = "Yes"
for i in range(N):
  idx = ss.index(s[i])
  if t[(idx+1)%3] == 0 and t[(idx+2)%3] == 0:
    ans = "No"
    break
  elif t[(idx+2)%3] == 0:
    t[(idx+1)%3] -= 1
    t[(idx+2)%3] += 1
    trace.append(u[(idx+2)%3])
  elif t[(idx+1)%3] == 0:
    t[(idx+1)%3] += 1
    t[(idx+2)%3] -= 1
    trace.append(u[(idx+1)%3])
  elif i+1<N and s[i+1] == ss[(idx+1)%3]:
    t[(idx+1)%3] -= 1
    t[(idx+2)%3] += 1
    trace.append(u[(idx+2)%3])
  else:
    t[(idx+1)%3] += 1
    t[(idx+2)%3] -= 1
    trace.append(u[(idx+1)%3])
print(ans)
if ans == "Yes":
  for v in trace:
    print(v)