Let $S=(-1, \infty)$ and $f: S \rightarrow \mathbb{R}$ be defined as $f(x)=\int_{-1}^x\left(e^t-1\right)^{11}(2 t-1)^5(t-2)^7(t-3)^{12}(2 t-10)^{61} d t$ Let $p=$ Sum of square of the values of $x$, where $f(x)$ attains local maxima on $S$. and $q=$ Sum of the values of x , where $\mathrm{f}(\mathrm{x})$ attains local minima on S . Then, the value of $p^2+2 q$ is