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 PyPy3 (7.3.0) (judge verdict: Accepted)

import sys
def input():
    return sys.stdin.readline().strip()
n, a, b, c = map(int, input().split())
s = []
for _ in range(n):
    s.append(input())

# 0 <= i < n-1
ans = []
for i in range(n-1):
    if s[i] == 'BC':
        if b > c:
            ans.append('C')
            b -= 1
            c += 1
        elif b < c:
            ans.append('B')
            b += 1
            c -= 1
        elif s[i+1] == 'AB':
            ans.append('B')
            b += 1
            c -= 1
        else:
            ans.append('C')
            b -= 1
            c += 1

    elif s[i] == 'AC':
        if a > c:
            ans.append('C')
            a -= 1
            c += 1
        elif a < c:
            ans.append('A')
            a += 1
            c -= 1
        elif s[i+1] == 'BC':
            ans.append('C')
            a -= 1
            c += 1
        else:
            ans.append('A')
            a += 1
            c -= 1

    else:
        if a > b:
            ans.append('B')
            a -= 1
            b += 1
        elif a < b:
            ans.append('A')
            a += 1
            b -= 1
        elif s[i+1] == 'AC':
            ans.append('A')
            a += 1
            b -= 1
        else:
            ans.append('B')
            a -= 1
            b += 1

    if a < 0 or b < 0 or c < 0:
        print('No')
        exit()

# i = n-1
if s[n-1] == 'BC':
    if b > c:
        ans.append('C')
        b -= 1
        c += 1
    else:
        ans.append('B')
        b += 1
        c -= 1

elif s[n-1] == 'AC':
    if a > c:
        ans.append('C')
        a -= 1
        c += 1
    else:
        ans.append('A')
        a += 1
        c -= 1

else:
    if a > b:
        ans.append('B')
        a -= 1
        b += 1
    else:
        ans.append('A')
        a += 1
        b -= 1

if a < 0 or b < 0 or c < 0:
    print('No')
    exit()

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