$\left[·\right]$ denotes greatest integer function and $\left\{·\right\}$ denotes fractions part function. If A,B denote the domain and the range of the function  $f\left(x\right)=\sqrt{2\left[x\right]-{\left[x\right]}^2}$ and $g\left(x\right)=\sqrt{{\left\{x\right\}}^2-2\left\{x\right\}}$  respectively ,then sum of all integers in $A\cup B$ is