
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
Observing the following expressions: $({1}^{3}={1}^{2}, {1}^{3}+{2}^{3}={3}^{2}, {1}^{3}+{2}^{3}+{3}^{3}={6}^{2}, {1}^{3}+{2}^{3}+{3}^{3}+{4}^{3}={10}^{2}, \cdots )$, guess the pattern for ${{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}}+\cdots +{{n}^{3}}=$\_\_\_\_\_\_\_\_\_\_.

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