
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 annual "Double Eleven" global shopping festival has come to a perfect end, and packages from all over the country are being delivered to local courier companies. A courier on a three-wheeled motorcycle departs from company $P$ and delivers packages back and forth on an east-west street. The records of his seven consecutive trips in one day are shown in the table below (we agree that east is positive and west is negative, unit: kilometers):

| First Time | Second Time | Third Time | Fourth Time | Fifth Time | Sixth Time | Seventh Time |
|------------|-------------|------------|-------------|------------|------------|--------------|
| $-2$       | $+7$        | $-9$       | $+10$       | $+4$       | $-5$       | $-8$         |

$(1)$ In which direction and how many kilometers away from company $P$ is the courier when he finishes his last delivery?  
$(2)$ At which time record is the courier farthest from company $P$?  
$(3)$ If the courier consumes 0.1 liters of gasoline per kilometer and gasoline costs 8.2 yuan per liter, how much money does the courier need to spend on gasoline to deliver all the packages?

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