
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 a non-empty set $M$ satisfying the following condition: for any $x$ in $M$, it is always true that $x^2 \notin M$ and $\sqrt{x} \notin M$. If $M \subseteq \{0,1,2,3,4,5\}$, find the number of possible sets $M$ that meet the condition.

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