
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 rule proposes that years ending in double zeros will only be considered leap years if they leave a remainder of either 200 or 600 when divided by 900. How many leap years ending in double zeros will there be between 2000 and 5000 under this new rule?

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