Let $$S = [-1, \infty)$$ and $$f: S \to \mathbb{R}$$ be defined as $$f(x) = \int_{-1}^{x} (e^t - 1)^{11}(2t-1)^5(t-2)^7(t-3)^{12}(2t-10)^{61}dt$$. 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 $$f(x)$$ attains local minima on $$S$$. Then, the value of $$p^2 + 2q$$ is ________