
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 the 38th chapter of "Dream of the Red Chamber," Shi Xiangyun hosted the East Sea Tangle Poetry Society and prepared twelve chrysanthemum poems to invite her sisters and Baoyu to write poems. If it is known that Jia Baoyu wrote two poems, "Visiting Chrysanthemums" and "Planting Chrysanthemums," Xue Baochai wrote two poems, "Remembering Chrysanthemums" and "Painting Chrysanthemums," and the remaining eight poems were written by Lin Daiyu, Shi Xiangyun, and Tan Chun, with each person writing at least two poems, then there are ____ different scenarios.

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