Let $y=p(x)$ be the parabola passing through the points $(-1,0),(0,1)$ and $(1,0)$. If the area of the region $\left\{(\mathrm{x}, \mathrm{y}):(\mathrm{x}+1)^2+(\mathrm{y}-1)^2 \leq 1, y \leq p(\mathrm{x})\right\}$ is A , then $12(\pi-4 \mathrm{~A})$ is equal to $\_\_\_\_$ .
