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)

import sys
read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines

def main():
    n,A,B,C = map(int, readline().split())
    N = A + B + C
    S = [readline().strip() for _ in range(n)]

    ans = []
    possible = True
    for i, s in enumerate(S):
        if s == "AB":
            if A + B == 0:
                print("No")
                possible = False
                break
            
            if i < N-1 and N == 2 and A == B == 1:
                if S[i+1] == "AC":
                    A += 1
                    B -= 1
                    ans.append("A")
                elif S[i+1] == "BC":
                    A -= 1
                    B += 1
                    ans.append("B")
                else:
                    A += 1
                    B -= 1
                    ans.append("A")
            else:
                if A < B:
                    A += 1
                    B -= 1
                    ans.append("A")
                else:
                    A -= 1
                    B += 1
                    ans.append("B")

        elif s == "AC":
            if A + C == 0:
                print("No")
                possible = False
                break
            
            if i < N-1 and N == 2 and A == C == 1:
                if S[i+1] == "AB":
                    A += 1
                    B -= 1
                    ans.append("A")
                elif S[i+1] == "BC":
                    A -= 1
                    C += 1
                    ans.append("C")
                else:
                    A += 1
                    B -= 1
                    ans.append("A")
            else:
                if A < C:
                    A += 1
                    C -= 1
                    ans.append("A")
                else:
                    A -= 1
                    C += 1
                    ans.append("C")

        else:
            if B + C == 0:
                print("No")
                possible = False
                break
            
            if i < N-1 and N == 2 and B == C == 1:
                if S[i+1] == "AB":
                    B += 1
                    C -= 1
                    ans.append("B")
                elif S[i+1] == "AC":
                    B -= 1
                    C += 1
                    ans.append("C")
                else:
                    B += 1
                    C -= 1
                    ans.append("B")
            else:
                if B < C:
                    B += 1
                    C -= 1
                    ans.append("B")
                else:
                    B -= 1
                    C += 1
                    ans.append("C")

    if possible:
        print("Yes")
        print("\n".join(ans))


if __name__ == "__main__":
    main()