
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
155 birds are sitting on a circle \( C \). If the arc \( \overparen{P_{i} P_{j}} \leqslant 10^\circ \), then \( P_{i} \) and \( P_{j} \) are considered to be a pair of mutually visible birds. Find the minimum number of pairs of mutually visible birds (assuming multiple birds can be at the same position).

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