Problem Statement

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.