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: Wrong Answer)

#!/usr/bin/env python3
import sys

YES = "Yes"  # type: str
NO = "No"  # type: str


def solve(N: int, A: int, B: int, C: int, s: "List[str]"):
    if A ==0 and B ==0 and C ==0:
        print(NO)
        return 

    def yes():
        tmp = [A,B,C]
        print(YES)
        for i in range(N):
            a = tmp[0]
            b = tmp[1]
            c = tmp[2]
            if s[i] == "AB":
                if a<=b:
                    a += 1
                    b -= 1
                    print("A")
                else:
                    a -=1
                    b += 1
                    print("B")
            elif s[i] == "AC":
                if a<=c:
                    a += 1
                    c -= 1
                    print('A')
                else:
                    a -=1
                    c += 1
                    print('C')
            else:
                if b<=c:
                    b += 1
                    c -= 1
                    print('B')

                else:
                    b -=1
                    c += 1
                    print('C')
            tmp = [a,b,c]
        return 

    if A+B+C>2 and [A,B,C].count(0) <= 1:
        yes()
    else:
        if A+B+C>2:
            if C>0:
                if s[0] == "AB":
                    print(NO)
                else:
                    yes()
            elif A>0:
                if s[0] == "BC":
                    print(NO)
                else:
                    yes()
            else: 
                if s[0] == "AC":
                    print(NO)
                else:
                    yes()
        else:
            if [A,B,C].count(0) == 2:
                tmp = [A,B,C]
                for i in range(N):
                    a = tmp[0]
                    b = tmp[1]
                    c = tmp[2]
                    if s[i] == "AB":
                        if a<=b:
                            a += 1
                            b -= 1
                        else:
                            a -=1
                            b += 1
                    elif s[i] == "AC":
                        if a<=c:
                            a += 1
                            c -= 1
                        else:
                            a -=1
                            c += 1
                    else:
                        if b<=c:
                            b += 1
                            c -= 1
                        else:
                            b -=1
                            c += 1
                    if a < 0 or b<0 or c<0:
                        print(NO)
                        return
                    tmp = [a,b,c]
                yes()
            elif [A,B,C].count(0) == 1:
                tmp = [A,B,C]
                print(YES)

                for i in range(N):
                    a = tmp[0]
                    b = tmp[1]
                    c = tmp[2]
                    if s[i] == "AB" and a==1 and b == 1:
                        if i+1<N:
                            if s[i+1] == "BC":
                                b += 1
                                a -= 1
                                print("B")
                            elif s[i+1] == "AC":
                                b -= 1
                                a += 1
                                print("A")
                            else:
                                if a<=b:
                                    a += 1
                                    b -= 1
                                    print("A")
                                else:
                                    a -=1
                                    b += 1
                                    print("B")                                    
                            tmp = [a,b,c]
                            continue

                    if s[i] == "BC" and b==1 and c == 1:
                        if i+1<N:
                            if s[i+1] == "AC":
                                b -= 1
                                c += 1
                                print("C")
                            elif s[i+1] == "AB":
                                b += 1
                                c -= 1
                                print("B")
                            else:
                                if b<=c:
                                    b += 1
                                    c -= 1
                                    print('B')

                                else:
                                    b -=1
                                    c += 1
                                    print('C')
                            tmp = [a,b,c]
                            continue

                    if s[i] == "AC" and a==1 and c == 1:
                        if i+1<N:
                            if s[i+1] == "BC":
                                c += 1
                                a -= 1
                                print("C")
                            elif s[i+1] == "AB":
                                c -= 1
                                a += 1
                                print("A")    
                            else:
                                if a<=c:
                                    a += 1
                                    c -= 1
                                    print('A')
                                else:
                                    a -=1
                                    c += 1
                                    print('C')
                            tmp = [a,b,c]
                            continue               

                    if s[i] == "AB":
                        if a<=b:
                            a += 1
                            b -= 1
                            print("A")
                        else:
                            a -=1
                            b += 1
                            print("B")
                    elif s[i] == "AC":
                        if a<=c:
                            a += 1
                            c -= 1
                            print('A')
                        else:
                            a -=1
                            c += 1
                            print('C')
                    else:
                        if b<=c:
                            b += 1
                            c -= 1
                            print('B')

                        else:
                            b -=1
                            c += 1
                            print('C')
                    tmp = [a,b,c]
        return 
    return


def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    A = int(next(tokens))  # type: int
    B = int(next(tokens))  # type: int
    C = int(next(tokens))  # type: int
    s = [next(tokens) for _ in range(N)]  # type: "List[str]"
    solve(N, A, B, C, s)

if __name__ == '__main__':
    main()