Figure I should post this here for anyone who wants to give it a go: 204 in 1 is possible! You need to hardcode solutions to the test cases in a level or two, before you get enough tools to allow you to do slightly less hardcoding.
(Thanks to vpumeyyv for figuring out the main trick that makes it work. If you want the solution idea: Gur pubfra jbeq vf Ercynpr. Vg pna or hfrq gb uneqpbqr Genafyvgrengr, gura lbh pna znxr jbeqf yvxr Gnp hfvat pnershyyl cynprq punenpgref naq n genafyvgrengr vagb (()). (Lbh pna oernx vagb gur Qb-yvxrf jvgu Noqhpr.))