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())
d = {'A':a, 'B':b, 'C':c}
ns = []
for i in range(n):
    ns.append(input())
path = []
flag = True
for i, j in enumerate(ns):
    x, y = j
    if d[x] > d[y]:
        d[x] -= 1
        d[y] += 1
        path.append(y)
    elif d[x] < d[y]:
        d[x] += 1
        d[y] -= 1
        path.append(x)
    else:
        if d[x] == 0:
            flag = False
            print('No')
            break
        if i + 1 < n:
            if x in ns[i + 1]:
                d[x] += 1
                d[y] -= 1
                path.append(x)
            else:
                d[y] += 1
                d[x] -= 1
                path.append(y)
        else:
            path.append(x)
if flag:
    print('Yes')
    for i in path:
        print(i)