While the CS branch of both IIT Patna and IIT Hyderabad has excellent academic environments and placements, it’s the fractal system of IIT Hyderabad that steals the show. Under this, students are free to choose electives from a pool of subjects. These can even be core subjects of the department or can be also from other departments. This system helps the students pursue other branches along with CS which keeps all options open for them. Most IIT Hyderabad students are satisfied with this system.
IIT Patna lacks such a system and thus has a slight disadvantage in this aspect. No doubt, IIT Patna fairs better in terms of infrastructure, but academically, IIT Hyderabad is the clear winner.