2009 Cayley Problem 13

Filipa plays a game. She starts with a row of 15 squares and a coin on the centre square. Filipa then rolls a die. If she rolls an even number, she moves the coin that many squares to the right; if she rolls an odd number, she moves the coin that many squares to the left. If the results of six rolls were 1, 2, 3, 4, 5, 6, where would her coin be located?

\textbf{(A)} On the square where it started \textbf{(B)}\ 1 square to the right of where it started\quad \textbf{(C)}\ 2 squares to the right of where it started\quad \textbf{(D)}\ 2 squares to the left of where it started\quad \textbf{(E)}\ 3 squares to the right of where it started

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 Cayley contests here.