AMC 12 2000 Problem 18

In year $N$, the $300$th day of the year is a Tuesday. In year $N+1$, the $200$th day is also a Tuesday. On what day of the week did the $100$th day of year $N-1$ occur?

$\textbf {(A)}\ \text{Thursday} \textbf {(B)}\ \text{Friday} \textbf {(C)}\ \text{Saturday} \textbf {(D)}\ \text{Sunday} \textbf {(E)}\ \text{Monday}$