
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
If a set $A$ has the following properties:  
1. $0 \in A$, $1 \in A$;  
2. If $x, y \in A$, then $x-y \in A$; and when $x \neq 0$, $\dfrac{1}{x} \in A$, then the set $A$ is called a "perfect set". Given the following conclusions:  
1. The set $B=\{-1,0,1\}$ is a "perfect set";  
2. The set of rational numbers $Q$ is a "perfect set";  
3. If set $A$ is a "perfect set", and $x, y \in A$, then $x+y \in A$;  
4. If set $A$ is a "perfect set", and $x, y \in A$, then it must be that $xy \in A$;  
5. For any "perfect set" $A$, if $x, y \in A$, and $x \neq 0$, then it must be that $\dfrac{y}{x} \in A$.  
Among these, the correct conclusions are numbered \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
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