This is pretty neat. I've definitely spent hours scribbling examples on a sheet of paper trying to come up with the correct math to go from my desired input to

This is pretty neat. I've definitely spent hours scribbling examples on a sheet of paper trying to come up with the correct math to go from my desired input to output for one or a few examples of input/output. Two drawbacks to this kind of solution, that I can think of: (1) the examples I'm thinking of are pretty complicated and I can't imagine this could solve them for me, and (2) playing with numbers on a sheet of paper is kind of fun, and jumping straight to the answer would remove that bit of fun from my life.