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)

n, a, b, c = list(map(int, input().split()))
ss = []
for i in range(n):
    ss.append(input())
ans = []
num_dic = {"A": a,"B":b, "C": c}
if num_dic["A"] + num_dic["B"] + num_dic["C"] == 0:
    print("No")
    exit()
if num_dic["A"] + num_dic["B"] + num_dic["C"] == 1:
    for i in range(n-1):
        s = ss[i]
        if num_dic[s[0]] + num_dic[s[1]] == 0:
            print("No")
            exit()
        else:
            if num_dic[s[0]] == 0:
                ans.append(s[0])
            else:
                ans.append(s[1])
    print("Yes")
    for a in ans:
        print(a)
if num_dic["A"] + num_dic["B"] + num_dic["C"] == 2:
    for i in range(n-1):
        s = ss[i]
        if num_dic[s[0]] + num_dic[s[1]] == 2:
            if num_dic[s[0]] == 1:
                if ss[i+1].find(s[0]) > -1:
                    num_dic[s[0]] = 2
                    num_dic[s[1]] = 0
                    ans.append(s[0])
                else:
                    num_dic[s[0]] = 0
                    num_dic[s[1]] = 2
                    ans.append(s[1])
        elif num_dic[s[0]] + num_dic[s[1]] == 1:
            if num_dic[s[0]] == 0:
                ans.append(s[0])
                num_dic[s[0]] = 1
                num_dic[s[1]] = 0
            else:
                ans.append(s[1])
                num_dic[s[0]] = 0
                num_dic[s[1]] = 1
        elif num_dic[s[0]] + num_dic[s[1]] == 0:
            print("No")
            exit()
        else:
            if num_dic[s[0]] == 0:
                ans.append(s[0])
                num_dic[s[0]] = 1
                num_dic[s[1]] = 0
            else:
                ans.append(s[1])
                num_dic[s[0]] = 0
                num_dic[s[1]] = 1
    if num_dic[s[i+1][0]] != 0:
        ans.append(s[i+1][0])
    else:
        ans.append(s[i+1][1])
    print("Yes")
    for a in ans:
        print(a)
else:
    for i in range(n):
        s = ss[i]
        if num_dic[s[0]] == 0 and num_dic[s[1]] == 0:
            print("No")
            exit()
        if num_dic[s[0]] == 0:
            ans.append(s[0])
            
            num_dic[s[0]] = 1
            num_dic[s[1]] = num_dic[s[1]] - 1
        elif num_dic[s[0]] == 0:
            ans.append(s[1])
            num_dic[s[0]] = num_dic[s[0]] - 1
            num_dic[s[1]] = 1
        else:
            if num_dic[s[0]] >= num_dic[s[1]]:
                ans.append(s[1])
                num_dic[s[0]] = num_dic[s[0]] - 1
                num_dic[s[1]] = num_dic[s[1]] + 1
            else:
                ans.append(s[0])
                num_dic[s[0]] = num_dic[s[0]] + 1
                num_dic[s[1]] = num_dic[s[1]] - 1
    print("Yes")
    for a in ans:
        print(a)