
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
Three numbers form an arithmetic progression; the sum of the squares of the first and second numbers is 100, and the sum of the squares of the second and third numbers is 164. What are these numbers?

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