
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 $O$ is the point of intersection of medians $AP$ and $CQ$ of triangle $ABC$, where $P$ and $Q$ are the midpoints of sides $BC$ and $AB$ respectively, and $AP = 15$ cm, calculate the length of segment $OP$ in cm.

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