
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  $m\in\mathbb{Z}^+$ . Find all natural numbers  $n$  that does not exceed  $10^m$  satisfying the following conditions:
i)  $3|n.$ ii) The digits of  $n$  in decimal representation are in the set  $\{2,0,1,5\}$ .

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