2017 Gauss 8 Problem 15

The number of even integers between 1 and 103 is the same as the number of odd integers between 4 and

\textbf{(A)}\ 104\quad \textbf{(B)}\ 102\quad \textbf{(C)}\ 100\quad \textbf{(D)}\ 108\quad \textbf{(E)}\ 106

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 Gauss contests here.