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())
q = [input() for i in range(n)]
ab, ac, bc = "AB", "AC", "BC"
ans = []
for i in range(n):
  
  if((q[i] == ab and a == b == 0)
  or (q[i] == ac and a == c == 0) 
  or (q[i] == bc and b == c == 0)):
      print("No")
      exit()
      
  elif(q[i] == ab and [a, b, c] == [1, 1, 0] and i != n - 1):
    if q[i+1] == ac: 
      a, b = a+1, b-1
      ans.append("A")
    else:
      a, b = a-1, b+1
      ans.append("B")     
      
  elif(q[i] == ac and [a, b, c] == [1, 0, 1] and i != n - 1):
    if q[i+1] == ab:
      a, c = a+1, c-1
      ans.append("A")
    else:
      a, c = a-1, c+1
      ans.append("C")
      
  elif(q[i] == bc and [a, b, c] == [0, 1, 1] and i != n - 1):
    if q[i+1] == ab:
      b, c = b+1, c-1
      ans.append("B")
    else:
      b, c = b-1, c+1
      ans.append("C")
      
  elif q[i] == ab:
    if a > b:
      a, b = a-1, b+1
      ans.append("B")
    else:
      a, b = a+1, b-1
      ans.append("A")
      
  elif q[i] == ac:
    if a > c:
      a, c = a-1, c+1
      ans.append("C")
    else:
      a, c = a+1, c-1
      ans.append("A")
      
  elif q[i] == bc:
    if b > c:
      b, c = b-1, c+1
      ans.append("C")
    else:
      b, c = b+1, c-1
      ans.append("B")

print("Yes")
for i in range(n):
  print(ans[i])