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Threads like these make me think that the starcraft community is the smartest community! =D
There are 3 coins on the table Gold, Silver and copper. The man at the table will let you make one statement, if it is true he will give you a coin. If it is false you won't let you have a coin. What will you say to him to always ensure that you have the gold coin?
A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why?
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On April 11 2011 08:17 Murderotica wrote:Show nested quote +On April 11 2011 08:02 gyth wrote:Um so lets say I put 999 squares in a grid of 9 x 111, then in the top right corner of this grid I put one square that overlaps with the corner square by say .1 area, then one right on top of that one. So there are 3 squares overlapping an area of .1, 2 squares overlapping an area of .9 (which doesn't matter since they cancel their area out [wtf do you mean by that btw]), and the rest of the squares are not overlapping. Would that not defy the premise? The ones not overlapping would be a single layer, ie an odd number. So why does a grid of squares that do not overlap at all not work? The area of overlap in this case is 0.
It's an odd number of squares overlapping. 1 is an odd number, so it counts. Basically, a square sitting by itself still counts as an area of 1. (Single layer)
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Vatican City State2594 Posts
"A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why?"
He has an affair with a woman on the 7th floor and goes there only when there is no one around. See, his wife has a phobia for rain, so whenever it rains she stays indoors and he has to come home ASAP to comfort her because he got rushed into the marriage for promises of money from her rich father that just doesn't seem to die at a young age and did not foresee the father living until he was 120. He is still waiting on that money, but his life is so miserable with the girl he married just for money, so he has an affair. When he is done banging the girl on the 7th floor he walks up the flight of stairs. He does this to make the sweat more pronounced on his clothes because he then claims that he just came back from the gym to minimize suspicion.
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Vatican City State2594 Posts
On April 11 2011 08:35 pikagrue wrote:Show nested quote +On April 11 2011 08:17 Murderotica wrote:On April 11 2011 08:02 gyth wrote:Um so lets say I put 999 squares in a grid of 9 x 111, then in the top right corner of this grid I put one square that overlaps with the corner square by say .1 area, then one right on top of that one. So there are 3 squares overlapping an area of .1, 2 squares overlapping an area of .9 (which doesn't matter since they cancel their area out [wtf do you mean by that btw]), and the rest of the squares are not overlapping. Would that not defy the premise? The ones not overlapping would be a single layer, ie an odd number. So why does a grid of squares that do not overlap at all not work? The area of overlap in this case is 0. It's an odd number of squares overlapping. 1 is an odd number, so it counts. Basically, a square sitting by itself still counts as an area of 1. (Single layer)
1001:2 = 500 remainder 1. Because of this, there will always be 1 square that is either impeding on a stack of 2 making it 3 and therefore odd, or not overlapping with anything and therefore being 1 layer of its own, or both and in summation still being 1 unit of odd-layer space.
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On April 11 2011 07:15 pikagrue wrote:
Why my math thing no on front page?! T___T
You have place 1001 unit squares on a coordinate plane. The squares can overlap (any number of squares can overlap in any fashion). Prove that the minimum amount of area where an odd number of squares overlap (amount of area covered by an odd number of squares) is equal to 1. The sides of the squares are parallel to the X and Y axes
This has a really nice 1-2 line solution.
EDIT: Single layer counts as an odd number btw.
Oh ok, now I understand your question. Let me rephrase:
Put 1001 unit squares on a coordinate plane. The squares can overlap in any fashion. Let S be the region of the plane that is covered by an odd number of squares. Prove that the area of S is greater than or equal to 1. Note: the sides of the squares are parallel to X and Y axes.
Edit: it's up on front page, #31 
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On April 11 2011 07:45 Housemd wrote:
Okay, I think I'll add one that isn't on the thread.
To start off, a truel is exactly like a duel just with three people. One morning Mr. Black, Mr. Gray, and Mr. White decide to resolve a dispute by trueling with pistols until only one of them survives. Mr. Black is the worst shot, hitting once every three times (1/3). Mr. Gray is the second best shot, hitting his target twice out of every three times (2/3). Lastly, Mr. White always hits his target (1/1). To make it fair, Mr. Black will shot first, following by Mr. Gray (if he is still alive) and then Mr. White (provided that he is still alive). The Question is: Where should Mr. Black aim his first shot?
he has to aim his first shot at mr white, because if he aims at grey and he hits him, mr white will kill him for sure
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On April 11 2011 08:41 stepover12 wrote:Show nested quote +On April 11 2011 07:15 pikagrue wrote:
Why my math thing no on front page?! T___T
You have place 1001 unit squares on a coordinate plane. The squares can overlap (any number of squares can overlap in any fashion). Prove that the minimum amount of area where an odd number of squares overlap (amount of area covered by an odd number of squares) is equal to 1. The sides of the squares are parallel to the X and Y axes
This has a really nice 1-2 line solution.
EDIT: Single layer counts as an odd number btw. Oh ok, now I understand your question. Let me rephrase: Put 1001 unit squares on a coordinate plane. The squares can overlap in any fashion. Let S be the region of the plane that is covered by an odd number of squares. Prove that the area of S is greater than or equal to 1. Note: the sides of the squares are parallel to X and Y axes.Edit: it's up on front page, #31
You got it! Your english skills are better than mine, lol
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On April 11 2011 08:49 turdburgler wrote:Show nested quote +On April 11 2011 07:45 Housemd wrote:
Okay, I think I'll add one that isn't on the thread.
To start off, a truel is exactly like a duel just with three people. One morning Mr. Black, Mr. Gray, and Mr. White decide to resolve a dispute by trueling with pistols until only one of them survives. Mr. Black is the worst shot, hitting once every three times (1/3). Mr. Gray is the second best shot, hitting his target twice out of every three times (2/3). Lastly, Mr. White always hits his target (1/1). To make it fair, Mr. Black will shot first, following by Mr. Gray (if he is still alive) and then Mr. White (provided that he is still alive). The Question is: Where should Mr. Black aim his first shot? he has to aim his first shot at mr white, because if he aims at grey and he hits him, mr white will kill him for sure
wrong, if he aims his first shot at mr. white, there's a chance that mr. white will be more inclined to shoot him first.
if he aims at mr white he has a 1/3 chance of dying
if he aims at mr gray he has a 2/3 chance of dying (as if he kills mr gray he will certainly die)
if he aims at nobody (shoots in the sky) mr. gray will shoot at mr. white due to the fact if he doesn't he will certainly die as he is the only one with a shot left, and if he misses mr. white will be more inclined to shoot mr. gray than mr. black due to the fact he tried to kill him.
i believe this amounts to a 0% chance of dying if he fires upwards.
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On April 11 2011 08:22 Zeroes wrote:
Threads like these make me think that the starcraft community is the smartest community! =D
There are 3 coins on the table Gold, Silver and copper. The man at the table will let you make one statement, if it is true he will give you a coin. If it is false you won't let you have a coin. What will you say to him to always ensure that you have the gold coin?
i have a feeling this is written terribly and the original riddle is much more clever
i can say "there are 3 coins on the table". this is true, and he will give me a coin. unfortunately there's nothing in the riddle that states which coin he will give me and how my statement is relevant at all. moreover it doesn't even state that the coin he gives you is one of the 3 that's on the table
all in all, this needs a serious re-write
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United States10328 Posts
On April 11 2011 09:03 mikell wrote:Show nested quote +On April 11 2011 08:49 turdburgler wrote:On April 11 2011 07:45 Housemd wrote:
Okay, I think I'll add one that isn't on the thread.
To start off, a truel is exactly like a duel just with three people. One morning Mr. Black, Mr. Gray, and Mr. White decide to resolve a dispute by trueling with pistols until only one of them survives. Mr. Black is the worst shot, hitting once every three times (1/3). Mr. Gray is the second best shot, hitting his target twice out of every three times (2/3). Lastly, Mr. White always hits his target (1/1). To make it fair, Mr. Black will shot first, following by Mr. Gray (if he is still alive) and then Mr. White (provided that he is still alive). The Question is: Where should Mr. Black aim his first shot? he has to aim his first shot at mr white, because if he aims at grey and he hits him, mr white will kill him for sure wrong, if he aims his first shot at mr. white, there's a chance that mr. white will be more inclined to shoot him first. if he aims at mr white he has a 1/3 chance of dying if he aims at mr gray he has a 2/3 chance of dying (as if he kills mr gray he will certainly die) if he aims at nobody (shoots in the sky) mr. gray will shoot at mr. white due to the fact if he doesn't he will certainly die as he is the only one with a shot left, and if he misses mr. white will be more inclined to shoot mr. gray than mr. black due to the fact he tried to kill him. i believe this amounts to a 0% chance of dying if he fires upwards.
Yep, I believe this is the right decision, although he still has a chance of dying if Mr. Gray misses 
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Vatican City State2594 Posts
On April 11 2011 09:03 mikell wrote:Show nested quote +On April 11 2011 08:49 turdburgler wrote:On April 11 2011 07:45 Housemd wrote:
Okay, I think I'll add one that isn't on the thread.
To start off, a truel is exactly like a duel just with three people. One morning Mr. Black, Mr. Gray, and Mr. White decide to resolve a dispute by trueling with pistols until only one of them survives. Mr. Black is the worst shot, hitting once every three times (1/3). Mr. Gray is the second best shot, hitting his target twice out of every three times (2/3). Lastly, Mr. White always hits his target (1/1). To make it fair, Mr. Black will shot first, following by Mr. Gray (if he is still alive) and then Mr. White (provided that he is still alive). The Question is: Where should Mr. Black aim his first shot? he has to aim his first shot at mr white, because if he aims at grey and he hits him, mr white will kill him for sure wrong, if he aims his first shot at mr. white, there's a chance that mr. white will be more inclined to shoot him first. if he aims at mr white he has a 1/3 chance of dying if he aims at mr gray he has a 2/3 chance of dying (as if he kills mr gray he will certainly die) if he aims at nobody (shoots in the sky) mr. gray will shoot at mr. white due to the fact if he doesn't he will certainly die as he is the only one with a shot left, and if he misses mr. white will be more inclined to shoot mr. gray than mr. black due to the fact he tried to kill him. i believe this amounts to a 0% chance of dying if he fires upwards.
Haha I didn't know he could should at nothing I was pondering over the implications of him wanting to shoot himself but still. White would not should Black just because he shot him first, Gray is gonna shoot white as well, so they are equally guilty and Gray is the bigger threat. Sorry.
Also that definitely does not amount to 0% chance of death because eventually Gray or White will die and Black will be the next one to shoot but only has 1/3 chance of shooting, and the next person will have a greater chance. Sorry bud, I think you're wrong on both ends here.
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On April 11 2011 09:08 JeeJee wrote:Show nested quote +On April 11 2011 08:22 Zeroes wrote:
Threads like these make me think that the starcraft community is the smartest community! =D
There are 3 coins on the table Gold, Silver and copper. The man at the table will let you make one statement, if it is true he will give you a coin. If it is false you won't let you have a coin. What will you say to him to always ensure that you have the gold coin?
i have a feeling this is written terribly and the original riddle is much more clever i can say "there are 3 coins on the table". this is true, and he will give me a coin. unfortunately there's nothing in the riddle that states which coin he will give me and how my statement is relevant at all. moreover it doesn't even state that the coin he gives you is one of the 3 that's on the table all in all, this needs a serious re-write
There is an answer and the question doesn't need a re-write
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On April 11 2011 09:15 Zeroes wrote:Show nested quote +On April 11 2011 09:08 JeeJee wrote:On April 11 2011 08:22 Zeroes wrote:
Threads like these make me think that the starcraft community is the smartest community! =D
There are 3 coins on the table Gold, Silver and copper. The man at the table will let you make one statement, if it is true he will give you a coin. If it is false you won't let you have a coin. What will you say to him to always ensure that you have the gold coin?
i have a feeling this is written terribly and the original riddle is much more clever i can say "there are 3 coins on the table". this is true, and he will give me a coin. unfortunately there's nothing in the riddle that states which coin he will give me and how my statement is relevant at all. moreover it doesn't even state that the coin he gives you is one of the 3 that's on the table all in all, this needs a serious re-write There is an answer and the question doesn't need a re-write
if you feel that way, then allow me to trivialize the problem by looking into the future:
+ Show Spoiler +
'you won't give me a non-gold coin'
true: you get a coin, and by asserting the truthfulness of the statement, that coin must be gold
false: this would imply that he WILL give you a non-gold coin, but he cannot do that as per the rules of the game, thus only the 'true' interpretation works
added spoilers although i disagree
edit:
A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why?
+ Show Spoiler +he made a bet with his buddy some time ago, and lost it. as a result, now he has to walk up 3 flights of stairs every day unless it is raining or he's with other people on the way home. the reason he does it on the way back from work as opposed to work is because otherwise he would get sweaty before work (did i mention he's hella fat) and be fired for not being professional.
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On April 11 2011 08:50 pikagrue wrote:
You have place 1001 unit squares on a coordinate plane. The squares can overlap (any number of squares can overlap in any fashion). Prove that the minimum amount of area where an odd number of squares overlap (amount of area covered by an odd number of squares) is equal to 1. The sides of the squares are parallel to the X and Y axes
+ Show Spoiler +Map each point (x,y) to the point in [0,1)^2 given by ({x},{y}). The image of each square is [0,1)^2, so each point in that is covered an odd number of times. When we consider the preimages of each point, at least one must be covered an odd number of times, solving the problem.
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On April 11 2011 09:12 Murderotica wrote:Show nested quote +On April 11 2011 09:03 mikell wrote:On April 11 2011 08:49 turdburgler wrote:On April 11 2011 07:45 Housemd wrote:
Okay, I think I'll add one that isn't on the thread.
To start off, a truel is exactly like a duel just with three people. One morning Mr. Black, Mr. Gray, and Mr. White decide to resolve a dispute by trueling with pistols until only one of them survives. Mr. Black is the worst shot, hitting once every three times (1/3). Mr. Gray is the second best shot, hitting his target twice out of every three times (2/3). Lastly, Mr. White always hits his target (1/1). To make it fair, Mr. Black will shot first, following by Mr. Gray (if he is still alive) and then Mr. White (provided that he is still alive). The Question is: Where should Mr. Black aim his first shot? he has to aim his first shot at mr white, because if he aims at grey and he hits him, mr white will kill him for sure wrong, if he aims his first shot at mr. white, there's a chance that mr. white will be more inclined to shoot him first. if he aims at mr white he has a 1/3 chance of dying if he aims at mr gray he has a 2/3 chance of dying (as if he kills mr gray he will certainly die) if he aims at nobody (shoots in the sky) mr. gray will shoot at mr. white due to the fact if he doesn't he will certainly die as he is the only one with a shot left, and if he misses mr. white will be more inclined to shoot mr. gray than mr. black due to the fact he tried to kill him. i believe this amounts to a 0% chance of dying if he fires upwards. Haha I didn't know he could should at nothing I was pondering over the implications of him wanting to shoot himself but still. White would not should Black just because he shot him first, Gray is gonna shoot white as well, so they are equally guilty and Gray is the bigger threat. Sorry. Also that definitely does not amount to 0% chance of death because eventually Gray or White will die and Black will be the next one to shoot but only has 1/3 chance of shooting, and the next person will have a greater chance. Sorry bud, I think you're wrong on both ends here.
where is the error in this?
if gray shoots at white, white will shoot back at gray. there is no reason logically that he will shoot at black (this is how you are supposed to approach these riddles) .
there is nowhere in there that states that they will have no bias due to the attempt to kill them.
if gray shoots white, white will shoot gray. gray will shoot white because he is the biggest threat, and if he misses then the only likely scenario is that white shoots gray for an attempt at revenge.
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On April 11 2011 08:35 Murderotica wrote:
"A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why?"
He has an affair with a woman on the 7th floor and goes there only when there is no one around. See, his wife has a phobia for rain, so whenever it rains she stays indoors and he has to come home ASAP to comfort her because he got rushed into the marriage for promises of money from her rich father that just doesn't seem to die at a young age and did not foresee the father living until he was 120. He is still waiting on that money, but his life is so miserable with the girl he married just for money, so he has an affair. When he is done banging the girl on the 7th floor he walks up the flight of stairs. He does this to make the sweat more pronounced on his clothes because he then claims that he just came back from the gym to minimize suspicion.
I don't know where I remember this, but your answer is wrong.
This is a pretty old riddle but a simple one:
+ Show Spoiler +The man is short, so when he's alone on the elevator, he can only reach the 7th floor, otherwise he just asks when people are around, or uses his umbrella if its rainy.
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On April 11 2011 09:34 SoraLimit wrote:Show nested quote +On April 11 2011 08:35 Murderotica wrote:
"A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why?"
He has an affair with a woman on the 7th floor and goes there only when there is no one around. See, his wife has a phobia for rain, so whenever it rains she stays indoors and he has to come home ASAP to comfort her because he got rushed into the marriage for promises of money from her rich father that just doesn't seem to die at a young age and did not foresee the father living until he was 120. He is still waiting on that money, but his life is so miserable with the girl he married just for money, so he has an affair. When he is done banging the girl on the 7th floor he walks up the flight of stairs. He does this to make the sweat more pronounced on his clothes because he then claims that he just came back from the gym to minimize suspicion. I don't know where I remember this, but your answer is wrong. This is a pretty old riddle but a simple one: + Show Spoiler +The man is short, so when he's alone on the elevator, he can only reach the 7th floor, otherwise he just asks when people are around, or uses his umbrella if its rainy.
nah yours is wrong, murderotica's is right.
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On April 11 2011 09:34 SoraLimit wrote:Show nested quote +On April 11 2011 08:35 Murderotica wrote:
"A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.
Can you explain why?"
He has an affair with a woman on the 7th floor and goes there only when there is no one around. See, his wife has a phobia for rain, so whenever it rains she stays indoors and he has to come home ASAP to comfort her because he got rushed into the marriage for promises of money from her rich father that just doesn't seem to die at a young age and did not foresee the father living until he was 120. He is still waiting on that money, but his life is so miserable with the girl he married just for money, so he has an affair. When he is done banging the girl on the 7th floor he walks up the flight of stairs. He does this to make the sweat more pronounced on his clothes because he then claims that he just came back from the gym to minimize suspicion. I don't know where I remember this, but your answer is wrong. This is a pretty old riddle but a simple one: + Show Spoiler +The man is short, so when he's alone on the elevator, he can only reach the 7th floor, otherwise he just asks when people are around, or uses his umbrella if its rainy.
your answer is correct as long as your story explains everything. lol.
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EPT
