
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
One day, a police officer was patrolling on a motorcycle on a north-south avenue. He set off from the guard post and patrolled for a while before stopping at point $A$. It is defined that the guard post is the origin, and the north direction is positive. The record of his travel during this time is as follows (unit: kilometers): $+10$, $-9$, $+7$, $-15$, $+6$, $-14$, $+4$, $-2$. <br/> $(1)$ In which direction is point $A$ from the guard post? How far is point $A$ from the guard post? (Write the expression and calculate) <br/> $(2)$ What is the farthest distance from the starting point? (Write directly) <br/> $(3)$ If the motorcycle consumes $0.5$ liters of fuel for every $1$ kilometer traveled, how much fuel is consumed from the guard post to point $A$ in total?

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