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I need a clarification on One_Brow's problem. Does he mean that the allowed matrice sizes range from 3x4 to 5x4?
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(\__/) 07/07/1937 - Never forget
(='.'=) "Claims demand evidence; extraordinary claims demand extraordinary evidence." -- Carl Sagan
(")_(") "Starting the fire from within." -
I think he meant that the allowed sizes are 3x4, 4x4,4x5, 5x5, 5x6, etc, going on forever. Dimensions differing from each other by more than 1 are presumably not allowed because that would give us too many cases to consider, and it would be somewhat ambiguous which of two grid sizes is "bigger" (although I guess it would be the one with the largest area).Originally posted by Urban Ranger
I need a clarification on One_Brow's problem. Does he mean that the allowed matrice sizes range from 3x4 to 5x4?"God is dead." - Nietzsche
"Nietzsche is dead." - GodComment
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What I want to know is what kind of maniac plays Chess like that? You can't even be sure what way round the board is!Originally posted by Zero-Tau
Good. Time for another retrograde chess problem.
Take a look at the position below. What were the last 96 moves? (Yessir, that's ninety-six
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I think we'll need to work together on this one. I don't have the answer, you see.A witty quote proves nothing. - VoltaireComment
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OK One brow, so its sorta of a guess
I may still try some more, but I kinda ran out of time yesterday. I would say on a 5x5 it is possible to force a draw. I cant prove a win or a draw on a 6x6. Im almost certain you can prove a win on a 7x7. So my guess would be 6x6 is the biggest board you can force a draw as the second player. (NOt counting 5x6 or 6x7)
Since I seem to be the only one actually trying you may as well put the answer or a brief explanation...Comment
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Exactly so.Originally posted by JohnM2433
I think he meant that the allowed sizes are 3x4, 4x4,4x5, 5x5, 5x6, etc, going on forever. Dimensions differing from each other by more than 1 are presumably not allowed because that would give us too many cases to consider, and it would be somewhat ambiguous which of two grid sizes is "bigger" (although I guess it would be the one with the largest area).Comment
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On a 6x6 board the first payer (black) has a forced win in six turns:Originally posted by LulThyme
OK One brow, so its sorta of a guess
I may still try some more, but I kinda ran out of time yesterday. I would say on a 5x5 it is possible to force a draw. I cant prove a win or a draw on a 6x6. Im almost certain you can prove a win on a 7x7. So my guess would be 6x6 is the biggest board you can force a draw as the second player. (NOt counting 5x6 or 6x7)
Since I seem to be the only one actually trying you may as well put the answer or a brief explanation...
1. c3 d4 (any other corner mov allows a rotated version, you knowfrom 5x5 a corner is needed)
2. d2 b4 (white must defend the pair on b4 or e1, e1 allows the smae fllowing sequence)
3. c4 (black defends the pair)
Here we have two branches, as white can defend the c3-c4 pair on c2 or c5:
3. ... c5
4. c2 c1 (forced)
5. b2 (Black wins on either a2 or e2 next turn)
3. ... c2
4. d3 (Black forms two open pairs c3-d3 and c4-d3. He converts one to an open three next turn, as white has no pair to convert).
So, now that you know the size is smaller than 6x6...Comment
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Yeah. 5x6 is win for first player.
I can't figure out a way to win 5x5 though. Seems like that is the answer."In some of its more lunatic aspects, political correctness is merely ridiculous. But in the thinking behind it, there is something more sinister which is shown by the fact that already there are certain areas and topics where freedom of speech, in the sense of the right to open and frank discussion, is being gradually but significantly eroded." -- Judge Neil DenisonComment
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I tried a bit, and am almost certain 5x5 is a draw.
I just logged before I go to bed and have a hard day tomorrow, might try to post somewhat of an explanation.
As I said before, anything than a start in the middle, player 2 replies in the middle and you can quickly block all attacks. After a start in the middle (c3) reply d2 (for example) and then I divided in a lot of cases and could prove draws for most.Comment
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Yes, 5x5 is draw f the secod player pays correctly. There is no real "proof" outside of demonstration.
LulThyme did themost work on this, but since had commented recently that he had posted too many puzzles himself, I think we can let Ignorance be our next puzzler (if for no other reaon than irony).Comment
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I'm working on something, but not to waste time I'll post it when it's my turn next time.
Few riddles for now, hopefully everyone hasn't heard these before:
1:
When young, I am sweet in the sun.
When middle-aged, I make you happy.
When old, I am valued more than ever.
2:
I'm gentle enough to soothe the skin,
light enough to caress the sky,
hard enough to crack rocks.
3:
I build up castles.
I tear down mountains.
I make some men blind,
I help others to see."In some of its more lunatic aspects, political correctness is merely ridiculous. But in the thinking behind it, there is something more sinister which is shown by the fact that already there are certain areas and topics where freedom of speech, in the sense of the right to open and frank discussion, is being gradually but significantly eroded." -- Judge Neil DenisonComment
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1 is grapes, or wine or something.Concrete, Abstract, or Squoingy?
"I don't believe in giving scripting languages because the only additional power they give users is the power to create bugs." - Mike Breitkreutz, FiraxisComment
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The second one is water.One day Canada will rule the world, and then we'll all be sorry.Comment
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Yep.
1. Wine
2. Water"In some of its more lunatic aspects, political correctness is merely ridiculous. But in the thinking behind it, there is something more sinister which is shown by the fact that already there are certain areas and topics where freedom of speech, in the sense of the right to open and frank discussion, is being gradually but significantly eroded." -- Judge Neil DenisonComment
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*bump*"In some of its more lunatic aspects, political correctness is merely ridiculous. But in the thinking behind it, there is something more sinister which is shown by the fact that already there are certain areas and topics where freedom of speech, in the sense of the right to open and frank discussion, is being gradually but significantly eroded." -- Judge Neil DenisonComment
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