
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 Alice, Becky, and Chris are sharing 30 apples, and each must get at least 4 apples, while Alice must receive at least as many apples as Becky and Chris combined, determine the number of ways the apples can be shared among them under these conditions.

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