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: Runtime Error)

n,a,b,c=map(int,input().split())
k=[]
if a+b+c==0:
  print('No')
elif a+b+c==1:
  if a==1:
    current=0
  if b==1:
    current=1
  if c==1:
    current=2
  breakflag=0
  for i in range(n):
    s=input()
    if s=='AB':
      if current==2:
        breakflag=1
      else:
        current=1-current
        k.append(current)
    if s=='AC':
      if current==1:
        breakflag=1
      else:
        current=2-current
        k.append(current)
    if s=='BC':
      if current==0:
        breakflag=1
      else:
        current=3-current
        k.append(current)
    if breakflag==1:
      print('No')
      break
    if i==n-1:
      print('Yes')
      for j in range(n):
        if k[j]==0:
          print('A')
        elif k[j]==1:
          print('B')
        else:
          print('C')
elif a+b+c==2:
  s=input()
  for i in range(n-1):
    s2=input()
    if s=='AB':
      if a==0 and b==0:
        breakflag=1
      elif a>b:
        a-=1
        b+=1
        k.append('A')
      elif b>a:
        b-=1
        a+=1
        k.append('B')
      else:
        if s2=='AC':
          a+=1
          b-=1
          k.append('A')
        else:
          a-=1
          b+=1
          k.append('B')
    elif s=='AC':
      if a==0 and c==0:
        breakflag=1
      elif a>c:
        a-=1
        c+=1
        k.append('A')
      elif c>a:
        c-=1
        a+=1
        k.append('C')
      else:
        if s2=='AB':
          a+=1
          c-=1
          k.append('A')
        else:
          a-=1
          c+=1
          k.append('C')
    elif s=='BC':
      if b==0 and c==0:
        breakflag=1
      elif b>c:
        b-=1
        c+=1
        k.append('B')
      elif c>b:
        c-=1
        b+=1
        k.append('C')
      else:
        if s2=='AB':
          b+=1
          c-=1
          k.append('B')
        else:
          b-=1
          c+=1
          k.append('C')
    if breakflag==1:
      print('No')
      break
    s=s2.copy()
  if breakflag==0:
    if s=='AB':
      if a==0 and b==0:
        print('No')
        breakflag=1
      elif a>=b:
        k.append('A')
      else:
        k.append('B')
    elif s=='AC':
      if a==0 and c==0:
        print('No')
        breakflag=1
      elif a>=c:
        k.append('A')
      else:
        k.append('C')
    else:
      if b==0 and c==0:
        print('No')
        breakflag=1
      elif b>=c:
        k.append('B')
      else:
        k.append('C')  
  if breakflag==0:
    print('Yes')
    for i in k:
      print(i)
else:
  breakflag=0
  for i in range(n):
    s=input()
    if s=='AB':
      if a==0 and b==0:
        breakflag=1
      elif a<b:
        a+=1
        b-=1
        k.append('A')
      else:
        b+=1
        a-=1
        k.append('B')
    if s=='AC':
      if a==0 and c==0:
        breakflag=1
      elif a<c:
        a+=1
        c-=1
        k.append('A')
      else:
        c+=1
        a-=1
        k.append('C')
    if s=='BC':
      if b==0 and c==0:
        breakflag=1
      elif b<c:
        b+=1
        c-=1
        k.append('B')
      else:
        c+=1
        b-=1
        k.append('C')
    if breakflag==1:
      print('No')
      break
  if breakflag==0:
    print('Yes')
    for i in k:
      print(i)