
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
Assume we have a modified calendrical system in which leap years normally happen every four years, except every 100th year is not a leap year unless it is also divisible by 400. In a 200-year period, starting with year 1 which is a leap year, what is the maximum possible number of leap years?

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