Autograder demo: Code with randomization

The python autograder will automatically seed student and answer code with the same seed, which can be useful in problems that require extensive randomization. This problem also aliases some functions in the random library to use numpy's random functions so that the results are more reproducible.

Using Monte Carlo integration, approximate the area of a circle with radius of $1$. Generate $N=100$ random points such that each point lies inside of a box centered at the origin with side length $2$, and use these points to estimate the area.

Your code snippet should define the following variables: