If  period of the function  $f\left(x\right)=\cos \left(\sqrt{\left[n\right]}x\right)$  is  $2\pi$  where  $[\cdot ]$  is G.I.F and period of another function  $g\left(x\right)=p\left|\cos x\right|+p^2\left|\sin x\right|+1000$  is  $\frac{\pi }{2}$. Then (minimum of n)+ p =