
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
Divide a sample with a volume of 100 into 10 groups and complete a frequency distribution table. If the cumulative frequency of the first seven groups is 0.79, and the frequency count of the remaining three groups forms a geometric sequence with a common ratio greater than one and consists of integers, then the highest frequency count among the remaining three groups is _____.

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