
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 braces with the numbers of the following numbers:<br/>①$-\left(-7\right)$; ②$-2.6$; ③$-\frac{π}{3}$; ④$|-2|$; ⑤$\sqrt{8}$; ⑥$-(\frac{1}{2})^{2}$; ⑦$(-\frac{1}{3})^{3}$; ⑧$0.3030030003\ldots ($one more "$0$" between each two "$3$")$<br/>Set of non-negative integers: $\{ \_\_\_\_\_\_\ldots \}$; <br/>Set of negative fractions: $\{ \_\_\_\_\_\_\ldots \}$; <br/>Set of irrational numbers: $\{ \_\_\_\_\_\_\ldots \}$.

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