
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
Observe the following expressions: $$1^{3}{=}1$$, $$2^{3}{=}3{+}5$$, $$3^{3}{=}7{+}9{+}11$$, $$4^{3}{=}13{+}15{+}17{+}19$$, $${…}$$ If a certain number $$n^{3}$$ is expanded according to the above rule and the number "2017" is found on the right side, then: $$n={\_\_\_\_\_\_}.$$

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