Well I’m first exhausting some promising regions of the search space which should complete in less than 2 weeks. After that I strongly suspect a solution doesn’t exist (for the column grouped space I’m searching).

If it were just a matter of a few thousand dollars of computer time (say, less than $5000) the money would already be spent and I’d have an answer.

We’ll see, I may build the tooling to distribute the search and enlist help from others interested.

It’s only been about 2 weeks since I was able to drop the runtime from “age of the universe” levels to just decades.

If you're being serious, i assume its because its primarily a novelty problem, and the economic investment of 4000 computers isn't worth it just for the bragging rights of solving the problem.