
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

In the "Triangle" cinema, the seats are arranged in the shape of a triangle: the first row has one seat numbered 1, the second row has seats numbered 2 and 3, the third row has seats numbered 4, 5, 6, and so on. We define the best seat in the cinema hall as the one located at the center of the hall, i.e., at the midpoint of the height drawn from the vertex of the triangle corresponding to the seat numbered 1. Given a cinema hall where the best seat is numbered 265, how many seats are there in the cinema hall?

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