
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]


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Members attending the meeting all shook hands with each other, among them, someone shook hands for the second time with some of his old friends. If the total number of handshakes at this meeting was 159, then the number of members attending the meeting was $\boxed{\text{people}}$, and the number of second handshakes was $\boxed{\text{times}}$.

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