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"I guess it seemed like too simple a problem." Wow. Good heuristic!

Why not try them all? Because back in "the olden days" we did not have automated test tools, so we had no choice but to narrow the scope of the problem, i.e., equivalence partitioning.

Now that we do have automated test tools, we forget we have them?? I admit my thoughts were going down the same road yours were... "Ah, equivalence partitioning, smart!" Uh, not really...