
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 modifies the leap year criteria such that a year ending in double zeroes will be a leap year only if it leaves a remainder of 150 or 450 when divided by 900. How many leap years will there be that end in double zeroes between 2100 and 4200?

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