
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
A band forms a rectangular formation with \( m \) band members distributed evenly across \( r \) rows. This formation leaves three members without a place. The director decides to reorganize the formation by adding 2 to the number of members in each row and reducing the number of rows by 1. This adjustment perfectly accommodates all the band members. Determine the largest number of members the band could have, given it has fewer than 100 members.

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