
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
There is a group composed of six women and four men planning a meeting. They are to sit in a row with women on indistinguishable rocking chairs and men on indistinguishable stools. The chairs and stools must be arranged so that no two stools or two rocking chairs are next to each other. How many distinct ways can they arrange the six chairs and four stools for the meeting?

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