
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 following numbers: $-\left(-3\right)$, $-1$, $|{-1\frac{1}{3}}|$, $0$, $-\frac{{22}}{7}$, $\left(-2\right)^{2}$, $3.14$, $-20\%$<br/>Positive numbers: $\{\_\_\_\_\_\_\}$;<br/>Non-negative integers: $\{\_\_\_\_\_\_\}$;<br/>Integers: $\{\_\_\_\_\_\_\}$;<br/>Negative fractions: $\{\_\_\_\_\_\_\}$.

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