True, finding one solution is easy but finding all the solutions can be a fun little optimization challenge.
I made a repo many years ago with a bunch of grab bag solutions for comparisons [1]; from dumb brute force to DLX (Knuth's Dancing Links) and a multithreaded bitwise backtracking algorithm. And one where I just hardcoded the answers because all the counts up to 27 are known.
So I'm all for just jumping to the existing known solutions, but it seems like the OP is having fun while they learn a little bit. They seem to just be a college freshman.
