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: Time Limit Exceeded)

import sys
sys.setrecursionlimit(10**6)
n,A,B,C=map(int,input().split())
s=[input() for i in range(n)]
def dfs(d,a,b,c,now):
    global n,s
    if d==n:
        print("Yes")
        for i in range(n):
            print(now[i])
        sys.exit()
    else:
        if s[d][0]=="A" and s[d][1]=="B":
            if a>0:
                dfs(d+1,a-1,b+1,c,now+"B")
            if b>0:
                dfs(d+1,a+1,b-1,c,now+"A")
        elif s[d][0]=="A" and s[d][1]=="C":
            if a>0:
                dfs(d+1,a-1,b,c+1,now+"C")
            if c>0:
                dfs(d+1,a+1,b,c-1,now+"A")
        else:
            if b>0:
                dfs(d+1,a,b-1,c+1,now+"C")
            if c>0:
                dfs(d+1,a,b+1,c-1,now+"B")

dfs(0,A,B,C,"")
print("No")