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:
def check(x,y,z,i,ops):
    if x == 1 and y == 1 and z == 0 and i < len(ops) - 1:        
        return (ops[i], ops[i+1]) in [("AB", "AC"), ("BC", "AB"), ("AC", "AB")]
    return (x <= y)

A=0
B=1
C=2
nabc = [int(_x) for _x in input().split()]
n = nabc[0]
abc = nabc[1:]
ops = []
for i in range(n):
    ops.append(input())

result = []
for i in range(n):
    op = ops[i]
    if op == "AB":
        (s,t,u) = (A,B,C)
    elif op == "BC":
        (s,t,u) = (B,C,A)
    else:
        (s,t,u) = (A,C,B)
    if check(abc[s],abc[t],abc[u],i,ops):
        result.append(s)
        abc[s] += 1
        abc[t] -= 1
    else:
        result.append(t)
        abc[s] -= 1
        abc[t] += 1
    if abc[s]<0 or abc[t]<0:
        print("No")
        break
else:
    print("Yes")
    for r in result:
        if r==A: print("A")
        if r==B: print("B")
        if r==C: print("C")