
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]


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A quadrilateral pyramid \( S A B C D \) is given, with the base being the parallelogram \( A B C D \). A plane is drawn through the midpoint of edge \( A B \) that is parallel to the lines \( A C \) and \( S D \). In what ratio does this plane divide edge \( S B \)?

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