
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 a triangle \(ABC\). A point \(N\) is taken on the extension of the side \(AC\) beyond point \(C\), such that \(CN = \frac{2}{3}AC\). A point \(K\) is located on the side \(AB\), such that \(AK:KB = 3:2\).

In what ratio does the line \(KN\) divide the side \(BC\)?

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