
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 points $P_1(1,3)$, $P_2(4,-6)$, and point $P$ is on the line $P_1P_2$, and $\overrightarrow{P_1P} = 2\overrightarrow{PP_2}$, then the coordinates of point $P$ are ______.

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