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())
s_=[input() for i in range(n)]
ans=""
for i in range(n):
    s1,s2=s_[i]
    if s2=="B":
        if a==1 and b==1 and i!=n-1:
            if s_[i+1][0]=="A":
                a,b,ans=(a+1,b-1,ans+"A")
            else:
                a,b,ans=(a-1,b+1,ans+"B")
            continue
        a,b,ans=(a-1,b+1,ans+"B") if a>b else (a+1,b-1,ans+"A")
        if min(a,b)==-1:
            print("No")
            break
    elif s1=="A":
        if a==1 and c==1 and i!=n-1:
            if s_[i+1][1]=="C":
                a,c,ans=(a-1,c+1,ans+"C")
            else:
                a,c,ans=(a+1,c-1,ans+"A")
            continue
        a,c,ans=(a-1,c+1,ans+"C") if a>c else (a+1,c-1,ans+"A")
        if min(a,c)==-1:
            print("No")
            break
    else:
        if c==1 and b==1 and i!=n-1:
            if s_[i+1][1]=="C":
                b,c,ans=(b-1,c+1,ans+"C")
            else:
                b,c,ans=(b+1,c-1,ans+"B")
            continue
        b,c,ans=(b-1,c+1,ans+"C") if b>c else (b+1,c-1,ans+"B")
        if min(b,c)==-1:
            print("No")
            break
else:
    print("Yes")
    for j in range(n):
        print(ans[j])