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 = [int(i) for i in input().split()]
abc = "ABC"
xy = []
for _ in range(n):
    xy.append([abc.index(i) for i in input()])
i = 0
ans = []
while i < n:
    if a[xy[i][0]] == 1 and a[xy[i][1]] == 1:
        j = list(set([0, 1, 2])-set(xy[i]))[0]
        if i == n - 1 or a[j] != 0 or xy[i] == xy[i+1]:
            if a[xy[i][0]] > a[xy[i][1]]:
                ans.append(abc[xy[i][1]])
                a[xy[i][0]] -= 1
                a[xy[i][1]] += 1
            else:
                ans.append(abc[xy[i][0]])
                a[xy[i][1]] -= 1
                a[xy[i][0]] += 1
            i += 1
        else:
            k = list(set(xy[i + 1])-set([j]))[0]
            ans.append(abc[k])
            a[k] += 1
            a[list(set(xy[i]) - set([k]))[0]] -= 1
            i += 1

    else:
        if a[xy[i][0]] > a[xy[i][1]]:
            ans.append(abc[xy[i][1]])
            a[xy[i][0]] -= 1
            a[xy[i][1]] += 1
        else:
            ans.append(abc[xy[i][0]])
            a[xy[i][1]] -= 1
            a[xy[i][0]] += 1
        i += 1
    if min(a) < 0:
        print("No")
        exit()
print("Yes")
for i in ans:
    print(i)