
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 that there are three boats with capacities 3 people, 2 people, and 1 person, and 2 adults and 2 children need to be divided among these boats with children accompanied by an adult, determine the total number of ways they can be divided among these boats.

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