You'll learn DP with a skip constraint. The pattern "can't take adjacent elements" appears in many problems. Amazon and Google ask this frequently. You're stepping up from Climbing Stairs because you're maximizing value, not counting ways. The follow-ups (House Robber II with circular houses, House Robber III on a tree) test whether you can adapt the core pattern.
##### ###### ##### ### # # ### # # ###### ## ## ## ## ## ## ## # # # # # ## ##### #### ##### # # # # # # # #### ## # ## ## ## ## # # # # # ## ## # ###### ## ### # ### # ######
$ curl repovive.com/roadmaps/maang-interview-prep/dynamic-programming/house-robber-why-this-problem
░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░███████████████████████████████████████████████████████████████████████████████████████████████████