Today’s calculations can get a little intense if you treat every numeric range as equally important. There can be a long distance between changes in the input->output relationship.
I found an interesting video from a while ago in which CFD people talk about a similar issue in deciding where to allocate computational resources in the simulation of a Mach cone, where the vast majority of the simulation is plain air with nothing interesting happening, but there is just a very small boundary in which super-interesting things are happening.
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I did the same. My first attempt that was the same solution as part 1 with a small tweak to the input parsing to generate the ranges overflowed the heap. It was then that I really looked at the numbers and ranges involved and decided using ranges instead of individual numbers would be necessary.