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)

import sys
N, A, B, C = map(int, input().split())
stock = [A, B, C]

s = [input() for _ in range(N)]
sum_num = sum(list([A, B, C]))
to_char = ["A","B","C"]


target = []
for i in range(N):
    if s[i] == "AB":
        target.append([0,1])
    elif s[i] == "BC":
        target.append([1,2])
    else:
        target.append([0,2])

if sum_num == 0:
    print("No")
    sys.exit()
elif sum_num == 1:
    answer = []
    for i in range(N):
        if stock[target[i][0]] == 1:
            stock[target[i][0]] -= 1
            stock[target[i][1]] += 1
            answer.append([target[i][1]])
        elif stock[target[i][1]] == 1:
            stock[target[i][1]] -= 1
            stock[target[i][0]] += 1
            answer.append([target[i][0]])
        else :
            print("No")
            sys.exit()
    print("Yes")
    for i in range(N):
        to_char[answer[i]]
elif sum_num >= 2:
    if stock[target[0][0]] == 0 and stock[target[0][1]] == 0:
        print("No")
        sys.exit()
    else:
        print("Yes")
        for i in range(N-1):
            if target[i][0] in target[i+1]:
                stock[target[i][0]] += 1
                stock[target[i][1]] -= 1
                print(to_char[target[i][0]])
            else:
                stock[target[i][1]] += 1
                stock[target[i][0]] -= 1
                print(to_char[target[i][1]])
        if stock[target[-1][0]] == 0:
            print(to_char[target[-1][0]])
        else:
            print(to_char[target[-1][1]])