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())
s = []

for i in range(n):
  s.append(input())

ans = []
flag = True
for i in range(n):
  if s[i] == "AB":
    if a < b:
      ans.append("A")
      a += 1
      b -= 1
    elif a == b == 1 and i < n - 1 and "A" in s[i + 1]:
      ans.append("A")
      a += 1
      b -= 1
    elif a == b == 0:
      flag = False
      break
    else:
      ans.append("B")
      a -= 1
      b += 1
  if s[i] == "AC":
    if a < c:
      ans.append("A")
      a += 1
      c -= 1
    elif a == c == 1 and i < n - 1 and "A" in s[i + 1]:
      ans.append("A")
      a += 1
      c -= 1
    elif a == c == 0:
      flag = False
      break
    else:
      ans.append("C")
      a -= 1
      c += 1
  if s[i] == "BC":
    if b < c:
      ans.append("B")
      b += 1
      c -= 1
    elif b == c == 1 and i < n - 1 and "B" in s[i + 1]:
      ans.append("B")
      b += 1
      c -= 1
    elif b == c == 0:
      flag = False
      break
    else:
      ans.append("C")
      b -= 1
      c += 1

print("Yes" if flag else "No")
if flag:
  for _ans in ans:
    print(_ans)