
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
Definition: In the plane rectangular coordinate system $xOy$, for points $P(a,b)$ and $Q(c,d)$, if $c=ka$ and $d=-kb$, where $k$ is a constant and $k\neq 0$, then point $Q$ is called the "$k$-level transformation point" of point $P$. For example, the point $(-4,6)$ is the "$-2$-level transformation point" of the point $(2,3)$. Then, the $k$-level transformation point of point $(1,2)$ on the graph of the inverse proportion function $y=-\frac{18}{x}$ is ______.

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