Problem: 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.

Examples

Input

2 1 3 0
AB
AC


Output

Yes
A
C


Input

3 1 0 0
AB
BC
AB


Output

No


Input

1 0 9 0
AC


Output

No


Input

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB


Output

Yes
C
B
B
C
C
B
A
A

Solution (in PYTHON3):

Solution:
n, a, b, c = map(int,input().split())
s = [input() for i in range(n)]
dic = {'A':a, 'B':b, 'C':c}
l = []
for i in range(n):
    temp1 = s[i][0]
    temp2 = s[i][1]
    if dic[temp1] == 0 and dic[temp2] == 0:
        print('No')
        exit()

    if dic[temp1] < dic[temp2]:
        dic[temp1] += 1
        dic[temp2] -= 1
        l.append(temp1)
    elif dic[temp1] == dic[temp2] and i != n - 1:
        n1, n2 = s[i + 1]
        if (n1, n2) == (temp1, temp2):
            dic[temp2] += 1
            dic[temp1] -= 1
            l.append(temp2)
        else:
            if temp1 == n1 or temp1 == n2:
                dic[temp1] += 1
                dic[temp2] -= 1
                l.append(temp1)
            else:
                dic[temp2] += 1
                dic[temp1] -= 1
                l.append(temp2)
    else:
        dic[temp2] += 1
        dic[temp1] -= 1
        l.append(temp2)
print('Yes')
print(*l, sep = '\n')