
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
Given that $i$ and $j$ are unit vectors in the positive directions of the $Ox$ and $Oy$ axes in a plane rectangular coordinate system, respectively, and $\overrightarrow{OA}=-2i+mj$, $\overrightarrow{OB}=ni+j$, and $\overrightarrow{OC}=5i-j$. If points $A$, $B$, and $C$ are on the same straight line and $m=2n$, find the values of real numbers $m$ and $n$.

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