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**Demo****Member**- Registered: 2009-10-04
- Posts: 1

Hi there. Does anybody know the title of this game, or the strategy to win it?

The game consists of 15 lines, drawn in 3 rows - numbering 3, 5, 7. The aim of the game is to be the last person to cross off a single line. You can cross multiple lines out in one go, however they must be adjacent and on the same row.

The layout looks something like this:

| | |

| | | | |

| | | | | | |

So yeah, does anybody know the title of this game or the strategy to win it?

Thanks heaps.

Demo.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,737

Hi Demo;

Your game is close to "normal play 3 heap nim" but has some differences. Try here first.

http://en.wikipedia.org/wiki/Nim#The_21_game

*Last edited by bobbym (2009-10-04 17:52:51)*

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Jane did some in-depth analysis of this a while ago. It was a slightly different game, but it should show you the way to think about it.

Why did the vector cross the road?

It wanted to be normal.

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