
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
According to the Gregorian calendar, a total of 97 leap days must be inserted over 400 consecutive years. After how many years will there be a 1-day discrepancy between the Gregorian calendar and the "exact" calendar if a year has a length of 365 days, 5 hours, 48 minutes, and 46 seconds?

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