can you help me with some tests? I tried every tests in the discussions and they're fine, I also try my own tests with big number too.

to clarify, my understanding is that, 0 <= F <= 1000 right?

For future solver - This is because while trying to solve system of equations that involves a subset of Knights, I put the "last index + 1" Knight to be 0, which is not true, the system does not always start with Knight 0