
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
During a certain exhibition, there was a very exciting helicopter aerobatic performance. The height of the helicopter after taking off (unit: kilometers, defined as positive for ascent and negative for descent) was $+4.1$, $-2.3$, $+1.6$, $-0.9$, $+1.1$.  
$(1)$ What is the height of the helicopter in kilometers after completing the above five performance actions?  
$(2)$ If the helicopter consumes $5$ liters of fuel for every $1$ kilometer ascended and $3$ liters of fuel for every $1$ kilometer descended, how much fuel is consumed in total by the helicopter during these $5$ performance actions?

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