A real function $f$ is said to be continuous, if it is continuous at every point in the

All the points of discontinuity of the function $f$ defined by

$f\left(x\right)=\left\{\begin{array}{lll}3,& \mathrm{if}& 0\le x\le 1\\ 4,& \mathrm{if}& 1<x<3\\ 5,& \mathrm{if}& 3\le x\le 10\end{array}\right.$ are

If $f\left(x\right)=\left\{\begin{array}{ll}mx+1,& x\le \frac{\mathrm{\pi }}{2}\\ \sin x+n,& x>\frac{\mathrm{\pi }}{2}\end{array}\right.$ is continuous at $x=\frac{\mathrm{\pi }}{2}$, then