
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 $3^3 = 9 = 4 + 5$, we have $3^2 + 4^2 = 5^2$; $5^2 = 25 = 12 + 13$, thus we have $5^2 + 12^2 = 13^2$; $7^2 = 49 = 34 + 15$, thus we have $7^2 + 24^2 = 25^2$; continue this pattern and write down two more equations.

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