
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
Among the following statements, the correct ones are:  
① If line $a$ is parallel to plane $M$, then $a$ is parallel to any line within $M$;  
② If line $a$ intersects plane $M$, then $a$ is not parallel to any line within $M$;  
③ If line $a$ is not perpendicular to plane $M$, then $a$ is not perpendicular to any line within $M$;  
④ If line $a$ is not perpendicular to plane $M$, then any plane passing through $a$ is not perpendicular to $M$.

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