
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 data with a capacity of 100 into 10 groups and complete the frequency distribution table. If the cumulative frequency of the first seven groups is 0.79, and the frequencies of the remaining three groups form a geometric sequence with a common ratio greater than 2, then the highest frequency among the remaining three groups is _________.

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