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#1 2012-07-06 20:12:27
- anna_gg
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Dots game
We have a grid of dots m x n, where m is the number of rows and n the number of columns, where m≠n and m, n >2.
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Two players alternate turns and choose one dot from the grid and then pick all dots above and to the right of these dots. The purpose of the game is to force your opponent take the last dot.
Do I play first or second? What is the strategy to win?
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(for example I chose the 4th dot of the 3rd row from the bottom, so I got all 16 dots above and to the right of this one).
#2 2012-07-06 21:09:13
- anonimnystefy
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Re: Dots game
Hi anna_gg
The 3rd row doesn't have a 4th dot.
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#3 2012-07-06 22:07:00
- anna_gg
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Re: Dots game
The grid is initially as at the top of my post. Then after removing the dots, is like it shows below the text. Sorry, I don't know how to do the graphic!!
Last edited by anna_gg (2012-07-06 22:25:11)
#4 2012-07-06 22:20:03
- bobbym
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Re: Dots game
Hi anna_gg;
Isn't this game called Chomp?
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#5 2012-07-07 00:19:38
- anna_gg
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Re: Dots game
bobbym wrote:
Hi anna_gg;
Isn't this game called Chomp?
I have no idea!!! Maybe!!!!
#6 2012-07-07 01:46:37
- bobbym
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Re: Dots game
Hi anna_gg;
Download this and look at around page 10.
http://research.microsoft.com/en-us/um/ … gtlect.pdf
See if their analysis is good enough.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#8 2012-07-11 00:09:48
- bobbym
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Re: Dots game
Hi;
Your welcome.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.