Ăɍȼẗîȼ Posted November 28, 2009 Report Share Posted November 28, 2009 Rules-> Read before you post:1) Don't post anything that is unnecessary, or stupid.2) Do not assume anything that shouldn't be assumed. I.e. Can the wizard's escape during the night? They could, but we don't know that. 3) You are only allowed to use premises on the question.4) Solve this problem TOGETHER, as a whole of YCM.5) If anyone wants to donate, then they are welcome to, any donations would go into prizes other than possible reps. Say me and my friend are going to play a magic trick on someone called Bob. (There is some system arranged before hand between me and my friend.) Okay my friend leaves the room. BOB chooses 5 cards. (assuming a STANDARD 52 card deck.) I CHOOSE a card to hide from the 5 cards, and I CHOOSE the order of the remaining cards to place on the table. My friend comes in, and he looks at the 5 cards on the table, and he is able to tell exactly the card that I hid. (note he hasn't seen the 5 original cards) Bob is absolutely stunned. What was the system arranged before hand? Assume the worst case when Bob chooses cards. [spoiler=Past Problem #1]Say there are 101 wizards, sentenced to the Death by the King Wizard. The King Wizards says to the wizards: "I am a good King. Tomorrow, I will line you all up in a single file straight line, and remove your wands so you can't use magic. I will place a hat on each wizard, it is either Pink, or Cyan. You must guess the color of your hat! If you get it right, then you live, if you should get it wrong, you'll BURN!!!" "Of course, to be fair, the wizard at the end of the line gets to see all of the hats in front of him..., but in exchange for that, he must go first! You will have tonight, to say your last words... (You are not allowed to say anything but guess the color of your hat.)" Of course, none of the wizards wanted to die. So they talked, and brainstormed all night long. They came up with a plan. What plan will save the most wizards in the worst case? For example:First wizard says the second wizard's hat color instead of guessing their own. The second wizard says whatever the 1st wizard says. In the worst case, this saves 50 wizards. Congrats to Deja Cru! Link to comment Share on other sites More sharing options...
Luna Lovegood Posted November 28, 2009 Report Share Posted November 28, 2009 Simple. In the night, kill the king. ROW ROW FIGHT THE POWA Link to comment Share on other sites More sharing options...
Ăɍȼẗîȼ Posted November 28, 2009 Author Report Share Posted November 28, 2009 Let's not be stupid please. Link to comment Share on other sites More sharing options...
El Beasto Perezoso Posted November 28, 2009 Report Share Posted November 28, 2009 They invent a code so that the last wizard will walk down the line, look at a wizard's hat, and move his eyes in a certain direction. Up could be pink, down could be cyan. The wizard at the front of the line then does this to show the last wizard his hat color. All 101 live. Link to comment Share on other sites More sharing options...
Ăɍȼẗîȼ Posted November 28, 2009 Author Report Share Posted November 28, 2009 They are in a single file line. And last one goes first. They aren't allowed to communicate with another except by saying the color of their hat. Link to comment Share on other sites More sharing options...
Huntar! Posted November 28, 2009 Report Share Posted November 28, 2009 since when do wizards have kings? Link to comment Share on other sites More sharing options...
Luna Lovegood Posted November 28, 2009 Report Share Posted November 28, 2009 OOh, I got it. They all secretly escape during the night. Link to comment Share on other sites More sharing options...
Infinitus Posted November 28, 2009 Report Share Posted November 28, 2009 since when do wizards have kings? Since this riddle. Hmmm... Does it go in a Pink, blue, pink, blue pattern? Or is it random? Link to comment Share on other sites More sharing options...
Ăɍȼẗîȼ Posted November 28, 2009 Author Report Share Posted November 28, 2009 GUYS, it's just a riddle, for frick's sakes! Grow up! There is no stupid answer, only one that makes logical sense.since when do wizards have kings? Since this riddle. Hmmm... Does it go in a Pink' date=' blue, pink, blue pattern? Or is it random?[/quote'] Assume the worst case. So yes. Random. Link to comment Share on other sites More sharing options...
Huntar! Posted November 29, 2009 Report Share Posted November 29, 2009 is there an even amount of pink and cyan hats? Or is it mixed? Link to comment Share on other sites More sharing options...
Guest Welche Posted November 29, 2009 Report Share Posted November 29, 2009 I know this. Well sorta. I heard it this way: There is a town that has no mirrors and a king. He orders all the people in the village with blue eyes to leave. Now they can't see there own eye color and they can't talk about it. Somebody has blue eyes and everybody sees each other everyday. How do you know if you have blue eyes. If only 1 person has blue eyes, they will see that nobody else has blue eyes and they won't leave. If two people have blue eyes, they will see someone else with blue eyes and stay the first day. The next day they will see that the person with blue eyes stayed and will know that that person saw someone with blue eyes. Since the only person in the village who could have blue eyes besides the other person is you, you leave. For every person with blue eyes it takes 1 day. Not sure how to apply this to your theory, but it does work. I actually think I heard this case, but I can't remember the answer. Link to comment Share on other sites More sharing options...
Red_Gengar Posted November 29, 2009 Report Share Posted November 29, 2009 There's a solution... I just can't remember it... Except it was 4 people and one was behind a wall... Link to comment Share on other sites More sharing options...
Infinitus Posted November 29, 2009 Report Share Posted November 29, 2009 is there an even amount of pink and cyan hats? Or is it mixed? It can't be even because there is an uneven amount of wizards. Link to comment Share on other sites More sharing options...
Guest Welche Posted November 29, 2009 Report Share Posted November 29, 2009 In this riddle, the strategy is based on logic. Not math.. Link to comment Share on other sites More sharing options...
Huntar! Posted November 29, 2009 Report Share Posted November 29, 2009 is there an even amount of pink and cyan hats? Or is it mixed? It can't be even because there is an uneven amount of wizards. Well how many pink and cyan hats are there? Link to comment Share on other sites More sharing options...
Guest Welche Posted November 29, 2009 Report Share Posted November 29, 2009 If you knew, the riddle would fail at existence. Link to comment Share on other sites More sharing options...
bury the year Posted November 29, 2009 Report Share Posted November 29, 2009 I've heard this riddle before in a different form, but I forget the exact answer. Link to comment Share on other sites More sharing options...
Infinitus Posted November 29, 2009 Report Share Posted November 29, 2009 Is there any possible way to get to the hats BEFORE their judgement? Or is this ONLY about what to do DURING the judgement? Link to comment Share on other sites More sharing options...
El Beasto Perezoso Posted November 29, 2009 Report Share Posted November 29, 2009 The wizard says the color of the hat of the wizard in front of him. But when that wizard goes to say his own hat color to save his life, the volume he says it at determines the color of the wizard in front of him. Such as LOUD=Cyan, soft=Pink. Link to comment Share on other sites More sharing options...
Guest Welche Posted November 29, 2009 Report Share Posted November 29, 2009 If the hat of everybody is pink, he says cyan and vice-versa. Thats the first step solved. Link to comment Share on other sites More sharing options...
Ăɍȼẗîȼ Posted November 29, 2009 Author Report Share Posted November 29, 2009 Okay... Rules Posted. Since assuming that they can say LOUDLY or softly is now illegal, I'm afraid I would have to reject your answer. Link to comment Share on other sites More sharing options...
Luna Lovegood Posted November 29, 2009 Report Share Posted November 29, 2009 You still havn't said i there are any limits to the number of wizards with a single hat color Link to comment Share on other sites More sharing options...
Ăɍȼẗîȼ Posted November 29, 2009 Author Report Share Posted November 29, 2009 Assume the worst case. You don't know. There could be 101 colors of the same hat, but your solution should be dealing with every single combination of cyan and pink. Link to comment Share on other sites More sharing options...
Luna Lovegood Posted November 29, 2009 Report Share Posted November 29, 2009 Hmm, OK, then. Let me see, they can only say 'cyan' or 'pink' right? if they are wrong they burn immediately? Well, no point in doing the 'each wizard says the next's colour' thing. They'd have basically equal odds by just guessing. Perhaps... I have no idea Link to comment Share on other sites More sharing options...
Guest Welche Posted November 29, 2009 Report Share Posted November 29, 2009 Like I said, the chances of all the hats being the same color are very low. Link to comment Share on other sites More sharing options...
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