Two Functions Having Something Common

Given that $f(x)=\sin x$ and $g(x)=x/10$. If $x_{1},x_{2},...,x_{n}$ are the values of $x$ for which $f(x)=g(x)$, then find the maximum possible value of $\dfrac {\left\lfloor x_{1}\right\rfloor- \left\lfloor x_{2}\right\rfloor+\left\lfloor x_{3}\right\rfloor-\left\lfloor x_{4}\right\rfloor+\cdots\pm \left\lfloor x_{n}\right\rfloor-1}{n-1}.$

Details and Assumptions

• $\left\lfloor\cdot\right\rfloor$ represents the Floor Function.