
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
In a certain city, the taxi fare is charged as follows: an initial charge of 6 yuan covers up to 3 km (including 3 km). For distances between 3 km and 7 km, the fare increases by 1 yuan per kilometer (fractions of a kilometer are rounded up to the next kilometer). For distances beyond 7 km, the price increases by 0.8 yuan per kilometer. If a person travels 8.2 km by taxi, they should pay __________ yuan.

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