
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
Given that set $M$ is a non-empty set of numbers, and it satisfies the following conditions:<br/>$(i) 2\in M$;<br/>$(ii)$ For any $x\in M$ and any $y\in M$, $x-y\in M$; <br/>The following four conclusions are given:<br/>① $0\in M$; ② $1\notin M$; ③ For any $x$ and $y\in M$, $x+y\in M$; ④ For any $x\in M$, $x\neq 0$ and $x\neq 1$, $\frac{1}{x(x-1)}\in M$.<br/>The correct numbers are ______.

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