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 Python (3.8.2) (judge verdict: Accepted)

import sys
readline = sys.stdin.readline

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

# 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 = []

for i in range(N):
  if S[i] == "AB":
    if A == 0 and B == 0:
      print("No")
      exit(0)
    if A < B:
      ans += ["A"]
      A += 1
      B -= 1
    elif A > B:
      ans += ["B"]
      B += 1
      A -= 1
    else:
      if i + 1 < N and "A" in S[i + 1]:
        ans += ["A"]
        A += 1
        B -= 1
      else:
        ans += ["B"]
        B += 1
        A -= 1
  if S[i] == "AC":
    if A == 0 and C == 0:
      print("No")
      exit(0)
    if A < C:
      ans += ["A"]
      A += 1
      C -= 1
    elif A > C:
      ans += ["C"]
      C += 1
      A -= 1
    else:
      if i + 1 < N and "A" in S[i + 1]:
        ans += ["A"]
        A += 1
        C -= 1
      else:
        ans += ["C"]
        C += 1
        A -= 1
  if S[i] == "BC":
    if B == 0 and C == 0:
      print("No")
      exit(0)
    if B < C:
      ans += ["B"]
      B += 1
      C -= 1
    elif B > C:
      ans += ["C"]
      C += 1
      B -= 1
    else:
      if i + 1 < N and "B" in S[i + 1]:
        ans += ["B"]
        B += 1
        C -= 1
      else:
        ans += ["C"]
        C += 1
        B -= 1
print("Yes")
for a in ans:
  print(a)