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GBS used to be smart enough for threads with puzzles like this but I dunno if we're at that level any more. Here's my entry, you can work for me if you answer this. (.....NOT!!) You are sharing a pepperoni pizza with your fellow goon. It has a lot of pepperonis on it, but cleverly, you notice that some of the slices have more pepperoni than others. Obviously you want to try to maximize your pepperoni count, that's some basic goon instinct there. The way you go about choosing slices is, you go first, and take any slice you want. Then, the other guy takes one of the two slices adjacent to the first one. This continues to alternate, so each of you has two choices for each slice. Is there a way you can guarantee that you get more delicious pepperonis than the other goon?
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# ¿ Jul 17, 2015 20:30 |
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# ¿ Apr 29, 2024 11:19 |
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Moridin920 posted:if all the balls are the same size and shape though wouldn't it not matter? air resistance would be the same for all of them Gravity is proportional to an object's mass, so all objects will accelerate at the same rate under gravity in a vacuum. Air resistance is a force that is proportional to velocity, but not to mass. The heavier an object is, the smaller effect that same amount of force will have, so heavy things will fall faster because the same air resistance will have less of an effect. trap sprung or something
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# ¿ Jul 17, 2015 20:36 |
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Beef Turret posted:Does it matter how many slices there are There are 8 slices in a standard pizza, I should have stated that, but I'm not gonna tell you if it matters or not.
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# ¿ Jul 17, 2015 20:37 |
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ArbitraryC posted:what if it's one of those places that cuts their pizzas into square slices I don't know I would never eat one of those!! That would change the problem a lot actually because now you have four adjacent pieces to any piece and taking a piece could enable one to choose between 0 and 3 other slices, inclusive. I'm not prepared to answer such a question.
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# ¿ Jul 17, 2015 20:39 |
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notZaar posted:Yeah pretty much. You can stop at the ninth stack. You should state that you only have 90 coins in 10 stacks of 9, though maybe that gives it away more?
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# ¿ Jul 17, 2015 20:50 |
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notZaar posted:This is from car talk, it can't be too hard or it would have overtaxed the feeble brains of their core demo. yeah only NPR would have a logic puzzle on the air instead of like, a dude talking or the sound from a youtube video
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# ¿ Jul 17, 2015 20:57 |
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you can do it in two weighings guaranteed and the solution was already posted
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# ¿ Jul 17, 2015 21:18 |
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rakovsky maybe posted:What happens if you take a slice with an empty neighbor? Can the next person only pick the one directly adjacent, or does it wrap around the empty space. If I take a slice with no neighbors can I then choose freely? You can't do that - the pizza is a circle and you only get a free choice on the first slice. After that, there are always two edges, and both pizza eaters always have two choices until the last slice remaining.
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# ¿ Jul 17, 2015 22:48 |
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PERPETUAL IDIOT posted:If we assume that the other guy also wants to maximize his pepperoni, then I don't think there's a technique to guarantee that you get more in general. There's an arrangement where you're forced into an equal number of pepperonis, where there are just 2 "extra" slices next to each other. On the other hand, for a given arrangement there may be a guaranteed strategy, for instance with 1 extra pepperoni slice the strategy is to just take it first. Incorrect - I can guarantee that I can get greater than or equal to the number of pepperonis for an arbitrary arrangement. Yes, the other goon (it might be a girl!!!) is maximizing pepperonis. (The pizza has 8 slices, as I clarified in a later post, if that helps.) I don't know what you mean by the "2 extra slices". PS: wanna share a pizza
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# ¿ Jul 17, 2015 23:53 |
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PERPETUAL IDIOT posted:I mean, consider the arrangement where there are exactly two slices with extra pepperoni right next to each other. As soon as someone takes the first one, the second one is open to being taken by the other person. If both people are maximizing the pepperoni it can't work any other way. Yeah - or equal is pretty key. The case where the slices are all the same would be equal of course, though I guess it was misleading since I explicitly excluded that. Find the strategy. I can fully characterize the set of configurations where my solution only gets you equal once someone gets the answer.
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# ¿ Jul 18, 2015 00:06 |
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Beef Turret posted:The pepperoni strat is to number every slice from 1-8 and count the total number of pepperoni on the evens and odds, then from the parity with the most total pepperoni pick the one slice with the most pepperoni on it so the other guy gets a worse deal welcome to jeffcorp
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# ¿ Jul 18, 2015 00:10 |
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DoctorTristan posted:Actual interview question: it's supposed to be one guy and three women but you made it impossible with your fantasy foursome
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# ¿ Jul 18, 2015 05:20 |
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Dicky Longcocking posted:I looked up this answer and since when is it okay to reuse condoms? Let alone turn them inside out. Plus if you turn it inside out wouldn't you have the pussy juices of one of the women all over your cock anyway? It's not, there's no point reasoning about weird puzzle logic. Turning it inside out is the insight the puzzle wanted you to have whether it makes sense or not. Khorne posted:The question is poorly defined. Making concrete assumptions about vague problems is a reasoning skill to test candidates for. Jeffrey of YOSPOS fucked around with this message at 06:45 on Jul 18, 2015 |
# ¿ Jul 18, 2015 06:42 |
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Pizza comes divided into equally sized slices, geez, the variable is the amount of pepperoni. You big/little slice thing does figure out the solution those, the high-pepperoni slices are "big in spirit" as they say. Beef turret got it first. my new pizza franchise will feature a webapp where you can draw the slices you want in an mspaint gui and we will make that pizza for you
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# ¿ Jul 18, 2015 08:59 |
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# ¿ Apr 29, 2024 11:19 |
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Roger Craig posted:If I had 8 balls I'd be working as a porn star, not applying at Goldman Sachs nah I think you'd just produce an inconveniently large amount of semen and still be spent like, really inconveniently large
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# ¿ Jul 19, 2015 01:55 |