2000 Pascal Problem 15

The digits 1, 1, 2, 2, 3, and 3 are arranged to form an odd six digit integer. The 1's are separated by one digit, the 2's by two digits, and the 3's by three digits. What are the last three digits of this integer?

\textbf{(A)}\ 3\ 1\ 2\quad \textbf{(B)}\ 1\ 2\ 3\quad \textbf{(C)}\ 1\ 3\ 1\quad \textbf{(D)}\ 1\ 2\ 1\quad \textbf{(E)}\ 2\ 1\ 3

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.