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)

from collections import defaultdict

n, a, b, c = map(int, input().split())
s = [None] * n
for i in range(n):
    s[i] = input().rstrip()

if a + b + c == 0:
    print("No")
    exit(0)

ans = [None] * n
if a + b + c == 1:
    for i in range(n):
        if s[i] == 'AB':
            if a == 0 and b == 0:
                print('No')
                exit(0)
            if b == 0:
                b += 1
                a -= 1
                ans[i] = 'B'
            else:
                a += 1
                b -= 1
                ans[i] = 'A'
        elif s[i] == 'BC':
            if b == 0 and c == 0:
                print('No')
                exit(0)
            if c == 0:
                b -= 1
                c += 1
                ans[i] = 'C'
            else:
                b += 1
                c -= 1
                ans[i] = 'B'
        else:
            if c == 0:
                a -= 1
                c += 1
                ans[i] = 'C'
            else:
                a += 1
                c -= 1
                ans[i] = 'A'

    print("Yes")
    for i in range(n):
        print(ans[i])
    exit(0)

if s[0] == 'AB' and a == 0 and b == 0:
    print("No")
    exit(0)
if s[0] == 'BC' and b == 0 and c == 0:
    print("No")
    exit(0)
if s[0] == 'AC' and a == 0 and c == 0:
    print("No")
    exit(0)

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