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)

n,a,b,c=map(int,input().split())
ans=[]
ks = [input() for _ in range(n)]
for i in range(n):
  k = ks[0]
  if k=="AB":
    if a==0 and b==0:
      print("No")
      quit()
    else:
      if a>b:
        a -= 1
        b+=1
        ans.append("B")
      else:
        if a == 1 and b == 1 and len(ks) > 1:
          if ks[1] == "AC":
            b-=1
            a+=1
            ans.append("A")
          else:
            a -= 1
            b+=1
            ans.append("B")
        else: 
          b-=1
          a+=1
          ans.append("A")
  if k=="BC":
    if c==0 and b==0:
      print("No")
      quit()
    else:
      if c>b:
        c -= 1
        b+=1
        ans.append("B")
      else:
        if c == 1 and b == 1 and len(ks) > 1:
          if ks[1] == "AC":
            b-=1
            c+=1
            ans.append("C")
          else:
            c -= 1
            b+=1
            ans.append("B")
        else: 
          b-=1
          c+=1
          ans.append("C")
  if k=="AC":
    if a==0 and c==0:
      print("No")
      quit()
    else:
      if a>c:
        a -= 1
        c+=1
        ans.append("C")
      else:
        if a == 1 and c == 1 and len(ks) > 1:
          if ks[1] == "BC":
            a-=1
            c+=1
            ans.append("C")
          else:
            c -= 1
            a+=1
            ans.append("A")
        else: 
          c-=1
          a+=1
          ans.append("A")
  del(ks[0])
print("Yes")
for i in ans:
  print(i)