
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
Fill in the corresponding brackets with the following numbers: $-3$, $-\frac{1}{3}$, $-|-3|$, $\pi$, $-0.3$, $0$, $\sqrt[3]{16}$, $1.1010010001$.  
Integers: $\{ \_\_\_\_\_\_\ldots \}$;  
Negative fractions: $\{ \_\_\_\_\_\_\ldots \}$;  
Irrational numbers: $\{ \_\_\_\_\_\_\ldots \}$.

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