
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 group of friends went for a morning jog around a lake. During the jog, one by one, they realized they had overestimated their strength and switched from running to walking. One of the friends calculated that he ran one-eighth of the total distance the entire group ran and walked one-tenth of the total distance they walked. How many people were there in the group?

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