
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
Let the family of lines M be defined by $x\cos\theta + y\sin\theta = 1$. Consider the following four statements:  
① Points not on the lines of family M all fall within a region of area $\pi$.  
② All lines in the family M are parallel.  
③ All lines in the family M pass through a fixed point.  
④ For any integer $n$ ($n \geq 3$), there exists a regular polygon with $n$ sides, all of whose sides lie on lines from the family M.  
The codes of the true statements are \_\_\_\_\_\_ (write down the codes of all true statements).

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