69,105 Keys

I found myself coming back to this game more often than I thought. The author intended it as somewhat of an exercise, so I don't feel right rating it, so I'll list what it's done for me:

1. been a go-to resource for I6 stuff, complex and basic
2. presented a meta-puzzle of how to group the number of keys more mathematically. Once I (thought I) found it, though, I think that solution loses some of the whimsy that makes the game enjoyable.
3. encouraged me to poke at the parser to try and do weird stuff (including figuring how to do this in I7--where, roughly in-line with the author's comments, I think it's a bit of a bear)

It's certainly an odd one, with relatively welcoming "meta" jokes. You may be able to provoke some of them with standard verbs, but if you don't, the AMUSING section at the end reveals them, and it's fun to go back and look.

I agree with the reviews that mention the solution isn't quite a logic puzzle, and once you "get" it, it's only so replayable. But it is more replayable than I thought it would be when I first cast it aside, and I like it.

At any rate, I have nowhere else to put this, so here is my plan for the "superlogical" version. While it's potentially a technical improvement, I don't see it as actually making the game any more fun, and I don't want this to feel like banging on the door for an update. I enjoyed the logical exercise that sprang from "maybe we should count the numbers this way instead" & hope some other people will, too, once they've played the game. The game encouraged/allowed me to look at puzzles beyond the main joke/mechanic, and that's always a Good Thing.

(Spoiler - click to show)2 types of scratches: dull and sharp. In a ratio of 1:2.
3 types of roundedness, in a ratio of 1:2:2.
9 colors, in a ratio of 15:32:32 etc. (Note: this'll give roundoff errors when you count keys for the properties below, and I can't think of a way for the game to account for this without giving spoilers. But 271 is prime & that messes things up.)
7 key brands, in a ratio of 1:2:2 etc.
1 other property, in a ratio of 1:2.

So the game can count key types by division.

Another way to do this would be to call the game 69120 keys, since 69120 = 2^9 * 3^3 * 5 (allowing for several 1:2 divisions,) or you could just have one division of 16 colors at the top as follows:

1:2:...:3 and pick, from the 3, 15 specific types to eliminate, and factor this in when picking that specific color. However, the game could also warn the player off, saying "Wow! That's probably not it, there're way too many."

68992 is maybe even a better number, being 2^7 * 7^2 * 11, allowing for 2 1:2:2:2 and 1 1:2:2:2:2:2 pairing, and you can maybe have an easter egg of a specific combination with 113 extra keys. 69000 is 2^3 (1:2:2:3) * 3 * 5 * 5 * 23 (1:2:2:2:2:2:2:2:2:2:2:2), so that has possibilities, too, and 69069 = 3*7*11*13*23 and "only" 36 extra keys.