
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
Two delegations are scheduled to meet on the top floor of a tower that has several elevators, each with a capacity of nine people. The first delegation used a certain number of elevators filled to capacity, plus one last elevator with five vacant spots. Then, the second delegation did the same, with the last elevator having only three vacant spots.

At the start of the meeting, each member of each delegation shook hands with every member of the other delegation, and each handshake was photographed. Knowing that the photographer's film could hold nine pictures, how many more pictures could be taken on the last roll of film after capturing all the handshakes?

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