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:
from sys import stdin
input = stdin.readline

n, a, b, c = map(int, input().split())
s = []
f = []
d = dict()
d['A'] = a
d['B'] = b
d['C'] = c
flag = 1

for _ in range(n):
    f.append(input().rstrip())

for x in range(n):
    e = f[x]

    if d[e[0]] == d[e[1]] == 1 and x < n - 1:
        if e[0] in f[x + 1] and e[1] not in f[x + 1]:
            s.append(e[0])
            d[e[1]] -= 1
            d[e[0]] += 1
        else:
            s.append(e[1])
            d[e[0]] -= 1
            d[e[1]] += 1

    elif d[e[0]] >= d[e[1]]:
        s.append(e[1])
        d[e[0]] -= 1
        d[e[1]] += 1
    else:
        s.append(e[0])
        d[e[1]] -= 1
        d[e[0]] += 1

    if d[e[0]] < 0 or d[e[1]] < 0:
        flag = 0
        break

if flag == 0:
    print("No")
else:
    print("Yes")
    print("\n".join(s))