
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 points $A$, $B$, and $C$ are collinear, and $O$ is a point outside this line, let $\overrightarrow{OA} = \overrightarrow{a}$, $\overrightarrow{OB} = \overrightarrow{b}$, and $\overrightarrow{OC} = \overrightarrow{c}$. There exists a real number $m$ such that $m \overrightarrow{a} - 3 \overrightarrow{b} - \overrightarrow{c} = \overrightarrow{0}$ holds. Determine the ratio in which point $A$ divides $\overrightarrow{BC}$.

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