Ask HN: Can anyone solve this puzzle without an algorithm?

I made this game called Ten Large.

From my limited understanding of theoretical computer science, it's considered a Non-deterministic Polynomial-time hard problem (someone please correct me if I am wrong in this assessment).

I am wondering if anyone can solve it without the use of an algorithm?

https://itunes.apple.com/app/id959811502

Looks like we'd have to install it and play it to know how the gameplay works. Is it based on a well-known puzzle that's already described online somewhere?