
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 has less than 100 members and is arranged in a rectangular formation with $m$ members in each of $r$ rows, leaving three members out. When the director rearranges the formation by adding 2 more members in each row while reducing the number of rows by 1, the new formation exactly accommodates all the band members. What is the largest number of members the band could have?

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