
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
Seven distinct pieces of candy are to be distributed among three bags, with the red bag and the blue bag each receiving at least one piece of candy, while the white bag may remain empty. How many arrangements are possible?

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