
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
The road that goes from the town to the mountain cottage is  $76$  km long. A group of hikers finished it in  $10$  days, never travelling more than  $16$  km in two consecutive days, but travelling at least  $23$  km in three consecutive days. Find the maximum ammount of kilometers that the hikers may have traveled in one day.

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