
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
Calculate according to the following program and write the answers in the table:<br/>

| $n$ | $\rightarrow $ | Square | $\rightarrow $ | Sum with $3n$ | $\rightarrow $ | Difference with $(2n^{2}-n)$ | $\rightarrow $ | Answer |
|-----|-----------------|--------|-----------------|---------------|-----------------|-----------------------------|-----------------|--------|
|     |                 |        |                 |               |                 |                             |                 |        |

Fill in the table:<br/>

| Input $n$ | $3$ | $1$ | $-2$ | $-3$ | $\ldots $ |
|-----------|-----|-----|------|------|-----------|
| Answer    | $3$ |     |      |      | $\ldots $ |

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