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)

from collections import Counter

def resolve():
    n,a,b,c = map(int, input().split())
    abc = [a,b,c]
    s = [input() for i in range(n)]
    d = {'AB': [0,1,2], 'AC': [0,2,1], 'BC': [2,1,0]}
    dd = {'AB': ['AC', 'BC'], 'AC': ['AB', 'BC'], 'BC': ['AC', 'AB']}
    ans = []
    q = ['A', 'B', 'C']
    select = [0,0,0]

    for c in s:
        x = [abc[i] for i in d[c]]
        if x[0] == 0 and x[1] == 0:
            print('No')
            return
        if select[0] > select[1]:
            non = d[c][0]
            idx = d[c][1]
        elif select[0] < select[1]:
            non = d[c][1]
            idx = d[c][0]
        elif x[0] > x[1]:
            non = d[c][0]
            idx = d[c][1]
        elif x[0] > x[1]:
            non = d[c][1]
            idx = d[c][0]

        ans.append(q[idx])
        select[idx] += 1
        select[non] -= 1
        abc[idx] += 1
        abc[non] -= 1

    print('Yes')
    for i in ans:
        print(i)

if __name__ == '__main__':
    resolve()