
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 are 3 adults and 2 children in a park who need to embark on three boats P, Q, and R. Boat P can carry up to 3 people, boat Q can carry up to 2 people, and boat R can carry only 1 person. Find the number of different ways they can embark under the condition that any boat with a child must have an adult.

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