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Post by Shiro Kaze on Apr 24, 2012 6:30:27 GMT -8
19 guaranteed saved by doing the following:
If the first person in line says "Black" it means there are an even number of black hats in front of him
If the first person in line says "Red" it means there are an odd number of black hats in front of him
Every successive person in line can then tell what color hat they are wearing based on the hats in front of them, and the answers of the previous prisoners.
For example:
The first person says "Black" meaning there are an even number of black hats in front of him.
The next person in line sees 7 black hats, and 11 red hats. The only way for there to be an even number of black hats is if his is black.
The Third person in line sees 7 black hats, and 10 red hats. Since the previous person answered black, there should still be an odd number of red hats, which means his own has to be red.
and so on.
This of course works if you reverse the meaning of the color too
Unfortunately, the first person in line's fate is subject to chance.
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Post by Arynielle on Apr 24, 2012 7:09:35 GMT -8
Yeeeeeeees. Good job, Shiro! ^_^
Your turn to post up a riddle.
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Post by Shiro Kaze on Apr 25, 2012 19:59:05 GMT -8
In a wood-cutting factory, five large sawing machines stand in a windowless room. Each machine has an on/off switch attached, there being no doubt as to which switch controls which machine. Outside the door to the room are five back-up on/off switches, one for each machine inside. The power for each machine must first pass through the back-up switch, and then the machine switch before reaching the saw. The problem is, the new manager cannot decide how these back-up switches match with the machines inside the room. One day, the manager's brother visits. The manager takes him inside the sawing room where all five machines are at work and explains the problem. The brother announces that he intends to leave the room and that when he returns he will be able to match correctly the five switches outside the room to the five machines inside. The brother works alone, cannot see the machines from outside the room and solves the problem purely by operating switches. How is it possible?
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Post by Moses on Apr 26, 2012 11:35:54 GMT -8
What type of "sawing machine" are these? If they are the cool type that like automatically feeds a log through the blade it would be pretty easy. You could just have all the switches on and start them on a log. Then you flip backup switch 1 off, wait a second, flip backup switch 2 off, wait a second, and so on. Then you go inside and see how much each one cut. The one that cut the least corresponds to switch 1, second least to switch 2, and so on.
If it's just like a normal band saw, which I'm guessing it is, then I'll have to keep thinking.
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Post by Shiro Kaze on Apr 26, 2012 20:26:02 GMT -8
We will assume they are saws with no automatic feed
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Post by Arynielle on Apr 28, 2012 19:27:52 GMT -8
Can you hear the saws spinning when you leave the room? If so, switch one of the machines off. Go outside and play with the back up switches until you cannot hear a saw spinning. At that point, you'll know which machine that switch corresponds to. For our intents and purposes, we'll assume this is switch #5. Four more to go. Switch on #1 and #2. Wait awhile and then turn off #1 -- the corresponding saw will be warm. Wait a while longer and turn off #2 -- the corresponding saw will be hot. Turn on #3 -- the corresponding saw will be on. #4 is the saw that is entirely cool. Maybe?  |
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Post by Shiro Kaze on Apr 30, 2012 7:23:51 GMT -8
It's not quite the answer that came with the riddle, but it makes sense. I give you the mark of success Ari! xD
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Post by Arynielle on Apr 30, 2012 21:47:49 GMT -8
lol, now I want to know the actual answer.
I WILL FIGURE IT OUT.
Tell me, is my thought process on the right track? XD
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Post by Shiro Kaze on May 1, 2012 2:18:39 GMT -8
lol alrighty. Yeah, you're on the right track keep at it! xD
EDIT:
You got #1, 3, 4, 5 as was said in the riddles answer.
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Post by Arynielle on May 9, 2012 23:25:50 GMT -8
What. How the poop do you get 2? Guess you can't distinguish between hot and warm. Hrm. |
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Post by Arynielle on Jun 2, 2012 12:27:40 GMT -8
OH.
I got it, I think. When you leave the room, you're going to switch off two of the machines. We'll assume these as #5 and #2. (We've already figured out #1, #3 and #4 above.) You'll turn on one of the backup switches remaining (Let's assume you turned on #2). When you return to the room with the saws, you can try the two machines you turned off earlier. Whichever of the two machines' saws start spinning when you switch it on corresponds with backup #2.
AMIRIGHT?
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Post by Shiro Kaze on Jun 2, 2012 18:49:03 GMT -8
NICE
Yes, that is correct answers all around xD
YOUR TURN!
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Post by Arynielle on Jun 2, 2012 20:17:25 GMT -8
Shiro, we're running out of riddles. ;_______;
What row of numbers comes next in this series?
1
11
21
1211
111221
312211
13112221
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Post by Shiro Kaze on Jun 11, 2012 14:10:30 GMT -8
Guess
1113312211
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Post by Arynielle on Jun 11, 2012 19:48:16 GMT -8
Not quite. Do you want a hint?
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