
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 new proposal dictates that years ending in double zeroes qualify as leap years only if the year leaves a remainder of 300 or 700 when divided by 1000. How many leap years, according to this proposal, are there between the years 2000 and 5000?

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