
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 Alice has 30 apples, find the number of ways she can share them with Becky, Chris, and Dan so that each of Alice, Becky, and Chris gets at least three apples, and Dan gets at least one apple.

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