No matter how $n$ real numbers on the interval $[1,2013]$ are selected, if it is possible to find a scalene polygon such that its sides are equal to some of the numbers selected, what is the least possible value of $n$?

$ 
\textbf{(A)}\ 14
\qquad\textbf{(B)}\ 13
\qquad\textbf{(C)}\ 12
\qquad\textbf{(D)}\ 11
\qquad\textbf{(E)}\ 10
$