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())
m = {'A':a, 'B':b, 'C':c}

ss = [input() for _ in range(n)]


ans = []
def _t(s0, s1):
    m[s0] = m[s0] + 1
    m[s1] = m[s1] - 1
    ans.append(s0)


if a+b+c == 0:
    print('No')
    exit(0)


elif a+b+c == 1:
    for k, v in m.items():
        if v == 1:
            o = k

    for s in ss:
        if o not in s:
            print('No')
            exit(0)
        o = s.strip(o)
        ans.append(o)

elif a+b+c == 2:
    for i, s in enumerate(ss):
        if m[s[0]] + m[s[1]] == 0:
            print('No')
            exit(0)
        if m[s[0]] > m[s[1]]:
            _t(s[1], s[0])
        elif m[s[0]] < m[s[1]]:
            _t(s[0], s[1])
        else:
            if i < len(ss)-1 and s[0] in ss[i+1]:
                _t(s[0], s[1])
            else:
                _t(s[1], s[0])

else:
    for s in ss:
        if m[s[0]] + m[s[1]] == 0:
            print('No')
            exit(0)
        if m[s[0]] > m[s[1]]:
            _t(s[1], s[0])
        else:
            _t(s[0], s[1])

print('Yes')
for a in ans:
    print(a)