User:Vampire Library - Revision history

Vampire Library: /* Personal Information */

2010-11-18T15:10:13Z

Personal Information

← Older revision		Revision as of 09:10, 18 November 2010
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	~~== Personal Information ==~~

	Student studying math and computer science. Unfortunately, I'm completely inept when it comes to editing wikis (as you might have found out) and I apologize for any mistakes I've made. I'm basically learning as I contribute.

Vampire Library at 06:11, 7 November 2010

2010-11-07T06:11:31Z

← Older revision	Revision as of 00:11, 7 November 2010
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		== Personal Information ==

		Student studying math and computer science. Unfortunately, I'm completely inept when it comes to editing wikis (as you might have found out) and I apologize for any mistakes I've made. I'm basically learning as I contribute.

Vampire Library: Blanked the page

2010-11-07T01:10:47Z

Blanked the page

← Older revision		Revision as of 19:10, 6 November 2010
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	~~==Puzzle==~~

	Two friends, Sam and Lloyd, play the following game: each boy, on their turn, removes a number from 1,...,9 without replacement. The winner of the game is the one who first obtains 3 numbers that sum to 15. Does Sam have a winning strategy assuming he goes first?

	~~==Help==~~

	~~{{Hint\| Try to reinterpret the game as taking place on a 3x3 grid.}}~~
	~~{{Answer\| No. At most he can guarantee a draw.}}~~
	{{Solution\| This game is actually "equivalent" to Tic Tac Toe on a 3x3 magic square (i.e. each row, column and diagonal sums to 15). Since there is no winning strategy in Tic Tac Toe neither is there for this game.}}

	~~==See also==~~

	~~[[Category:Game theory]]~~

Vampire Library at 01:00, 7 November 2010

2010-11-07T01:00:50Z

← Older revision		Revision as of 19:00, 6 November 2010
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	~~I'm not certain of the origins of this puzzle.~~

	==Puzzle==		==Puzzle==

Vampire Library at 00:41, 7 November 2010

2010-11-07T00:41:17Z

← Older revision		Revision as of 18:41, 6 November 2010
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	{{Hint\| Try to reinterpret the game as taking place on a 3x3 grid.}}		{{Hint\| Try to reinterpret the game as taking place on a 3x3 grid.}}
	{{Answer\| No. At most he can guarantee a draw.}}		{{Answer\| No. At most he can guarantee a draw.}}
	{{Solution\| ~~We can translate the rules of the~~ game to ~~that of~~ Tic Tac Toe on a 3x3 magic square (i.e. each row, column and diagonal sums to 15). Since there is no winning strategy in Tic Tac Toe neither is there for this game.}}		{{Solution\| This game is actually "equivalent" to Tic Tac Toe on a 3x3 magic square (i.e. each row, column and diagonal sums to 15). Since there is no winning strategy in Tic Tac Toe neither is there for this game.}}

	==See also==		==See also==

	[[Category:Game theory]]		[[Category:Game theory]]

Vampire Library: Created page with "I'm not certain of the origins of this puzzle. ==Puzzle== Two friends, Sam and Lloyd, play the following game: each boy, on their turn, removes a number from 1,...,9 without r..."

2010-11-07T00:39:44Z

Created page with "I'm not certain of the origins of this puzzle. ==Puzzle== Two friends, Sam and Lloyd, play the following game: each boy, on their turn, removes a number from 1,...,9 without r..."

New page

I'm not certain of the origins of this puzzle.

==Puzzle==

Two friends, Sam and Lloyd, play the following game: each boy, on their turn, removes a number from 1,...,9 without replacement. The winner of the game is the one who first obtains 3 numbers that sum to 15. Does Sam have a winning strategy assuming he goes first?

==Help==

{{Hint| Try to reinterpret the game as taking place on a 3x3 grid.}}
{{Answer| No. At most he can guarantee a draw.}}
{{Solution| We can translate the rules of the game to that of Tic Tac Toe on a 3x3 magic square (i.e. each row, column and diagonal sums to 15). Since there is no winning strategy in Tic Tac Toe neither is there for this game.}}

==See also==

[[Category:Game theory]]