
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 Mr. Jacob's nieces visit him on a regular schedule of 6, 8, 9, and 12 days, and all visited him on January 1, 2021, determine the number of days in 2021 on which Mr. Jacob will not receive a visit from any of his nieces.

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