
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
An air force squadron is holding a stunt flying performance, during which a plane takes off and completes 4 performance maneuvers after flying $0.5km$. The changes in height of the plane are shown in the table below.

| Maneuver | Height Change | Notation |
|----------|---------------|----------|
| Maneuver 1 | Ascend $4.5km$ | $+4.5km$ |
| Maneuver 2 | Descend $3km$ | ______ |
| Maneuver 3 | Ascend $2km$ | ______ |
| Maneuver 4 | Descend $2.5km$ | ______ |

$(1)$ Complete the table above;<br/>$(2)$ After completing the 4 maneuvers mentioned above, what is the height of the plane in kilometers?<br/>$(3)$ If the plane consumes an average of $5L$ of fuel for every $1km$ ascended and $3L$ of fuel for every $1km$ descended, how much fuel in liters did the plane consume during these 4 maneuvers?

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