Problem:
Score : 600 points

Problem Statement

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.

Sample Input 1

2 1 3 0
AB
AC

Sample Output 1

Yes
A
C

You can successfully make two choices, as follows:

In the first choice, add 1 to A and subtract 1 from B. A becomes 2, and B becomes 2.

In the second choice, add 1 to C and subtract 1 from A. C becomes 1, and A becomes 1.

Sample Input 2

3 1 0 0
AB
BC
AB

Sample Output 2

No

Sample Input 3

1 0 9 0
AC

Sample Output 3

No

Sample Input 4

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB

Sample Output 4

Yes
C
B
B
C
C
B
A
A

Solution in PyPy3 (7.3.0) (judge verdict: Accepted)

N, A, B, C = map(int, input().split())
s = [[ord(i) - ord('A') for i in input()] for _ in range(N)]

L = [A, B, C]
ret = []
for i in range(N) :
  x, y = s[i]
  done = False
  if L[x] + 1 >= 0 and L[y] - 1 >= 0 :
    L[x] += 1
    L[y] -= 1
    if i + 1 != len(s) :
      u, v = s[i + 1]
      if (L[u] + 1 >= 0 and L[v] - 1 >= 0) or (L[u] - 1 >= 0 and L[v] + 1 >= 0) :
        done = True
        ret.append(x)
    else :
      done = True
      ret.append(x)
    if not done :
      L[x] -= 1
      L[y] += 1
        
  if not done and L[x] - 1 >= 0 and L[y] + 1 >= 0 :
    L[x] -= 1
    L[y] += 1
    if i + 1 != len(s) :
      u, v = s[i + 1]
      if (L[u] - 1 >= 0 and L[v] + 1 >= 0) or (L[u] + 1 >= 0 and L[v] - 1 >= 0) :
        done = True
        ret.append(y)    
    else :
      done = True
      ret.append(y)
    if not done :
      L[x] += 1
      L[y] -= 1
  
  if not done :
    print('No')
    break
else :
  print('Yes')
  for r in ret :
    print(chr(ord('A') + r))