Psycho-Pass is a 2012 sci-fi anime. The first season ran for a total of 22 episodes, each approximately 22 minutes in length.
The show takes place in the future, where the world is run by the Cibyl system, which is able to track people's likelihood of committing a crime by gauging their Crime Coefficient. The story follows Akane, who is the newest inspector at the Public Safety Bureau's Criminal Investigation Divison. She is a paired with a latent criminal named Kogami. Together, it's their job to wield Dominators, special weapons designed to measure the Crime Coefficient of whoever you point it at, and to dish out suitable punishments to would-be criminals.
That sounds a heck of a lot more complicated than it actually is. Have you ever seen the film Minority Report? It's very similar to that, only this is INFINITELY better, as a villain is introduced who is able to beat the system. This very literally brings up very strong issues of morality, which makes for an utterly fascinating show. It's one of the smartest anime I've ever seen.
There is a second season as well as a feature film, but this has a fairly satisfying conclusion without having to see the others. This is really an anime masterpiece, and the only reason why I don't own it is because of how expensive it is. It's pretty up there.
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