Patterns.

Think of the following.

Each cell at n=1 contains every factor for every possible product with remainder e or -f.

What is the order in which they appear? 1,1 is the single most important cell in the grid.

The answer or solution to the lookup is in this thread.

>>7984

This.

>>7985

Don't give up AA.

The value at -f,n-1 and e,n have the same a,b but d,n, and x are different by 1.

There is a way to use this to create the lookup.