
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
In $\triangle ABC$, point $P$ is on $BC$, and $\overrightarrow{BP}=2\overrightarrow{PC}$. Point $Q$ is the midpoint of $AC$. If $\overrightarrow{PA}=(4,3)$ and $\overrightarrow{PQ}=(1,5)$, then $\overrightarrow{BC}=$ __________.

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