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
def input():
    return sys.stdin.readline()[:-1]
N,A,B,C=map(int,input().split())
z=[A,B,C].count(0)
s=[input() for i in range(N)]
t=1
if z==3:
    print("No")
    t=0
if z==2:
    if sum([A,B,C])==1:
        a,b,c=A,B,C
        for i in range(N):
            if s[i]=="AC":
                if A:
                    A-=1
                    C+=1
                elif C:
                    A+=1
                    C-=1
                else:
                    t=0
                    print("No")
                    break
            elif s[i]=="AB":
                if A:
                    A-=1
                    B+=1
                elif B:
                    A+=1
                    B-=1
                else:
                    t=0
                    print("No")
                    break
            if s[i]=="BC":
                if B:
                    B-=1
                    C+=1
                elif C:
                    B+=1
                    C-=1
                else:
                    t=0
                    print("No")
                    break
        if t:
            print("Yes")
            t=0
            A,B,C=a,b,c
            for i in range(N):
                if s[i]=="AC":
                    if A:
                        A-=1
                        C+=1
                        print("C")
                    elif C:
                        A+=1
                        C-=1
                        print("A")
                elif s[i]=="AB":
                    if A:
                        A-=1
                        print("B")
                        B+=1
                    elif B:
                        A+=1
                        B-=1
                        print("A")
                if s[i]=="BC":
                    if B:
                        B-=1
                        C+=1
                        print("C")
                    elif C:
                        B+=1
                        C-=1
                        print("B")
    else:
        if s[0]=="AB":
            if A+B==0:
                print("No")
                t=0
        elif s[0]=="AC":
            if A+C==0:
                print("No")
                t=0
        if s[0]=="BC":
            if C+B==0:
                print("No")
                t=0
if t:
    print("Yes")
    for i in range(N):
        if s[i]=="AB":
            if A==B==1 and C==0 and i!=N-1:
                if s[i+1]=="BC":
                    print("B")
                    B+=1
                    A-=1
                else:
                    print("A")
                    A+=1
                    B-=1
            else:
                if A<B:
                    print("A")
                    A+=1
                    B-=1
                else:
                    print("B")
                    B+=1
                    A-=1
        elif s[i]=="AC":
            if A==C==1 and B==0 and i!=N-1:
                if s[i+1]=="BC":
                    print("C")
                    C+=1
                    A-=1
                else:
                    print("A")
                    A+=1
                    C-=1
            else:
                if A<C:
                    print("A")
                    A+=1
                    C-=1
                else:
                    print("C")
                    C+=1
                    A-=1
        elif s[i]=="BC":
            if C==B==1 and A==0 and i!=N-1:
                if s[i+1]=="AB":
                    print("B")
                    B+=1
                    C-=1
                else:
                    print("C")
                    C+=1
                    B-=1
            else:
                if C<B:
                    print("C")
                    C+=1
                    B-=1
                else:
                    print("B")
                    B+=1
                    C-=1