For every real number \(x\), let \(\lfloor x\rfloor \) denote the greatest integer not exceeding \(x\), and let \(f(x)=\lfloor x\rfloor(2014^{x-\lfloor x\rfloor}-1). \)
The set of all numbers \(x\) such that \(1\leq x<2014 \) and \(f(x)\leq 1 \) is a union of disjoint intervals. What is the sum of the lengths of those intervals?
