
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
Under a revised proposal, a year that ends in double zeroes will be considered a leap year only if the year leaves a remainder of 300 or 600 when divided by 800. How many leap years will there be that end in double zeroes from the year 1500 to 3500?

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