2000 Pascal Problem 19

The year 2000 is a leap year. The year 2100 is not a leap year. The following are the complete rules for determining a leap year:

(i) Year Y is not a leap year if Y is not divisible by 4.

(ii) Year Y is a leap year if Y is divisible by 4 but not by 100.

(iii) Year Y is not a leap year if Y is divisible by 100 but not by 400.

(iv) Year Y is a leap year if Y is divisible by 400.

How many leap years will there be from the years 2000 to 3000 inclusive?

\textbf{(A)}\ 240\quad \textbf{(B)}\ 242\quad \textbf{(C)}\ 243\quad \textbf{(D)}\ 244\quad \textbf{(E)}\ 251

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.