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:
#F
import sys
from collections import Counter as cc

N,A,B,C = list(map(int, input().split()))
abc = []
ans = []

for i in range(N):
    abc.append(input())
abc.append("")

a = abc.count("AB")+abc.count("AC")
b = abc.count("AB")+abc.count("BC")
c = abc.count("AC")+abc.count("BC")


for i, (s, ns) in enumerate(zip(abc,abc[1:])):
    if s == "AB":
        if A > B or (A == B and i != N-1 and ("AB" in ns or "BC" in ns)):
            A -= 1
            B += 1
            ans.append("B")
        else:
            A += 1
            B -= 1
            ans.append("A")
    elif s == "AC":
        a -= 1
        c -= 1
        if A > C or (A == C and i != N-1 and ("AC" in ns or "BC" in ns)):
            A -= 1
            C += 1
            ans.append("C")
        else:
            A += 1
            C -= 1
            ans.append("A")
    else:
        c -= 1
        b -= 1
        if B > C or (B == C and i != N-1 and ("AC" in ns or "BC" in ns)):
            C += 1
            B -= 1
            ans.append("C")
        else:
            C -= 1
            B += 1
            ans.append("B")
    if A < 0 or B < 0 or C < 0:
        print("No")
        sys.exit()

print("Yes")
for i in range(N):
    print(str(ans[i]))