Sequential walks the combined range in order from puzzle #1's start key upward — it's what naturally turns up the low-numbered puzzles first, since it passes right through them within seconds. Random instead jumps each thread to scattered, uniformly-random points across its assigned slice — good for broad coverage, but because the low-numbered puzzle keys are a vanishingly small sliver of the full 160-bit range, Random mode is extremely unlikely to stumble onto them; it's better suited to probing broadly rather than to relying on it for the easy end. Random mode also has no finish line — like on the Solver tab, it runs until you stop it.

Godzilla draws keys the same random way, but the value is capped ("padded with zeros") at the bit-width of the lowest-numbered puzzle not yet solved this run — so instead of a uniform draw across the full 160-bit space, every key generated is forced below that ceiling, which is what actually lets the still-open low-end puzzles get hit fast. As soon as that puzzle is solved the ceiling steps up to the next unsolved one — never further, so no cycles are wasted jumping toward the hopeless high end while easier puzzles remain. Like Random, it has no finish line.

Goku always stays up at the full 160-bit end (puzzle #160's range) — it doesn't track which puzzles are solved and never narrows down like Godzilla. Instead, each random candidate is decimal zero-padded before it's tested: its base-10 digits get a random number of trailing digits (currently 0 or 2) forced to zero, so the numbers actually checked are a mix of raw random draws and "rounded" values — e.g. a full ~49-digit draw, or the same draw truncated to 47 significant digits with the rest zeroed. This is a pattern-hunting heuristic (some keys in the wild have turned out to be suspiciously round), not a solving-progress-aware strategy — it has no finish line either.