
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
Three adults and two children come to stay, where children cannot stay in a room alone (they must be accompanied by an adult), and it is not required that all rooms be occupied. Determine the number of different ways to arrange their accommodation.

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