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())
opts = []
for _ in range(N):
    opt = input()
    opts.append((ord(opt[0]) - ord("A"), ord(opt[1]) - ord("A")))

choices = []
nums = [A, B, C]
for i, opt in enumerate(opts):
    if nums[opt[0]] == 0 and nums[opt[1]] == 0:
        print("No")
        break
    if nums[opt[0]] == 1 and nums[opt[1]] == 1:
        if i < N - 1 and opt != opts[i + 1]:
            choice = (set(opt) & set(opts[i + 1])).pop()
            nums[choice] += 1
            nums[choice ^ opt[0] ^ opt[1]] -= 1
            choices.append(choice)
            continue
    if nums[opt[0]] >= nums[opt[1]]:
        choices.append(opt[1])
        nums[opt[1]] += 1
        nums[opt[0]] -= 1
    else:
        choices.append(opt[0])
        nums[opt[0]] += 1
        nums[opt[1]] -= 1
else:
    print("Yes")
    for c in choices:
        print(chr(c + ord("A")))