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You get I believe seven tries before you lose a zoombini.
Remember, the pizzas that are pre-made on the bottom are the ones that were rejected. They throw a pizza where they stand if there's something on it they like.
It's pretty much always a bad idea to test multiple toppings at the same time. When you test one topping, one of them will *always* say they want whichever topping you pick, the rest won't.
On lower difficulties when you have fewer variables, the best method is simply test every topping independantly and make a note of who wants what, then just add all the toppings you *know* they want together and boom, there you go.
On the hardest, however, you have one fewer attempt than you have toppings to pick.
So, just use the pizzas that were already made to use process of elimination to figure out who *doesn't* want a topping.
Also, note, when a troll accepts your pizza, it does not count as one of your seven turns.
For instance: If you make a cheese pizza, and Arno says he wants more toppings, the other two will not want cheese every single time. Same goes for ice cream toppings, if one of them wants a cherry, the other two will never want a cherry.
It IS possible for them to only want ice cream toppings and nothing on the pizza, however. I do not believe it's possible for them to want nothing on the pizza AND nothing on the ice cream. At least, I've never once seen it.
You will never, ever use the same topping twice (successfully).
It's far easier to show somebody than it is to tell them, but it actually is one of the easier puzzles in the game on very very hard because it's just process of elimination. Find what they like one at a time, then cross reference what's pre-made in the reject pile at the bottom to find out who has to like what.
For instance, Arno likes, say, pepperoni. You have a premade reject that has pepperoni and chocolate on it. You now know for a fact that Arno doesn't like chocolate and it's pointless to test chocolate on him. If you have a pre-made one that also has, say, cheese and chocolate on it, and Shyler like cheese, the chocolate ingredient HAS to go to Willobee.
Again, this long rambling 2 AM explanation probably isn't super easy to follow, if you want specifics ask away. This really is probably the least luck-dependant puzzle on here. I can do it pretty much every time without losing anybody unless I do something stupid and make a mistake or have a brainfart or something.
Now, the whispering cliffs on very hard, that one I can't seem to wrap my head around for the life of me. So it goes.
If you just test them one at a time noting who wants what, eventually you'll be able to logic it out. Sometimes during testing you'll find that one of the three trolls only wants one single topping which makes it even easier.
Once you figure out who likes what, you can cross-reference it with the reject pile. Once you've eliminated one topping you're pretty much good, just test the rest to find out who wants what and combine all the ones they want. Again, it will *not* count against you if, say, Arno and Willowbee don't like the pizza and Shyler does, that's not a strike (it will also always happen, as again, their interests will never overlap).
As long as you test the toppings one at a time, that is. If you do more than that, there isn't really any good way to figure out which of the toppings on it they're talking about disliking, which *can* make two trolls express that they like/don't like it. If you test toppings one at a time, you'l only ever have one troll have anything to say positive about it.
I remember on the original version I played (so I don't know if it applies here), it was the same combination of rejected pizza toppings each time.
Between the four pizzas in the pit, there will be two combinations that haven't been tried yet.
Try them both. One combo will be accepted by a troll, and one will be rejected. Then, cycle through the unused toppings.
You should be left with one attempt left, so you can make a pizza with just one rejected topping. The other topping will be liked by the other troll, so you can determine their perfect pizzas.