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:
import sys
readline = sys.stdin.readline

N,A,B,C = map(int,readline().split())

val = [A,B,C]
# 0,0を作ってはいけない
# 基本的には小さいほうに1を足す
# 両方とも1の場合は、次の操作で選ばれるほうに1を足す
# 両方とも次の操作で選ばれるときはどちらに足してもよい

S = [readline().rstrip() for i in range(N)]
ans = []

def get_ind(s):
  res = []
  for c in s:
    if c == "A":
      res.append(0)
    elif c == "B":
      res.append(1)
    elif c == "C":
      res.append(2)
  return res

def get_alpha(x):
  return "ABC"[x]

for i in range(N):
  ind_x,ind_y = get_ind(S[i])
  if val[ind_x] == 0 and val[ind_y] == 0:
    print("No")
    exit(0)
  if val[ind_x] < val[ind_y]:
    ans += [get_alpha(ind_x)]
    val[ind_x] += 1
    val[ind_y] -= 1
  elif val[ind_x] > val[ind_y]:
    ans += [get_alpha(ind_y)]
    val[ind_y] += 1
    val[ind_x] -= 1
  else:
    if i + 1 < N and get_alpha(ind_x) in S[i + 1]:
      ans += [get_alpha(ind_x)]
      val[ind_x] += 1
      val[ind_y] -= 1
    else:
      ans += [get_alpha(ind_y)]
      val[ind_y] += 1
      val[ind_x] -= 1
      
print("Yes")
for a in ans:
  print(a)