
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 a parallelogram \(ABCD\), the midpoint \(K\) of side \(AB\) is connected to vertex \(C\), and the midpoint \(M\) of side \(BC\) is connected to vertex \(D\). In what ratio does segment \(KC\) divide segment \(MD\)?

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