
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
A person has prepared 77 candies as gifts. These candies are to be packed in $n$ bags such that, regardless of whether 7 or 11 children come, each child receives an equal number of whole bags of candy. Find the minimum value of $n$.

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