The objective is, making valid moves, to empty the entire board except for a solitary peg in the central hole. A valid move is to jump a peg orthogonally over an adjacent peg into a hole two positions away and then to remove the jumped peg.

There are many different solutions to the standard problem, and one notation used to describe them assigns letters to the holes:.

This mirror image notation is used, amongst other reasons, since on the European board, one set of alternative games is to start with a hole at some position and to end with a single peg in its mirrored position.

On the English board the equivalent alternative games are to start with a hole and end with a peg at the same position.

There is no solution to the European board with the initial hole centrally located, if only orthogonal moves are permitted.

This is easily seen as follows, by an argument from Hans Zantema. Divide the positions of the board into A, B and C positions as follows:.

Initially with only the central position free, the number of covered A positions is 12, the number of covered B positions is 12, and also the number of covered C positions is After every move the number of covered A positions increases or decreases by one, and the same for the number of covered B positions and the number of covered C positions.

Hence after an even number of moves all these three numbers are even, and after an odd number of moves all these three numbers are odd. Hence a final position with only one peg cannot be reached, since that would require that one of these numbers is one the position of the peg, one is odd , while the other two numbers are zero, hence even.

There are, however, several other configurations where a single initial hole can be reduced to a single peg. A tactic that can be used is to divide the board into packages of three and to purge remove them entirely using one extra peg, the catalyst, that jumps out and then jumps back again.

Other alternate games include starting with two empty holes and finishing with two pegs in those holes.

Also starting with one hole here and ending with one peg there. On an English board, the hole can be anywhere and the final peg can only end up where multiples of three permit.

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My mom loves this game too, whenever I'm playing this game she takes the phone away from me and starts playing and she tells me to read. My dad didn't see this game yet because he is a chef and he works a lot , I'm still trying to show it to him but he doesn't have time.

But for me I love this game , I'm maylin and I'm 9 years old the game is so much fun too. Hi Maylin, thank you so much for your amazing and impressive review!

You must be a very lovely and warm girl! We are so happy your family love this game, we love your family too, including your great father!

Just enjoy your family time and feel free to contact us when you need help with the game. We would always be glad to help you!

In all honesty, even though I like the game, I cannot and will not recommend it. The ads are beyond annoying and are very disruptive.

I downloaded it a couple hours ago and have been playing nonstop. However, the ads, the stupid, nonstop ads have driven me away.

Since I play for free I expect ads. In fact, the last game I played had 3 separate ads in the middle of the game. Devilish Hairdresser Flash.

Maggie's Bakery: Kitchen Queen Flash. Kindergarten Flash. Bubblefizz Hair Salon Playset Flash. Sue: Syuui magical transformation Flash.

Busy Bridesmaid Flash. Drinks Flash. Kill Time in your Office Flash. Little Girl Makeover Flash. Nail Art Salon Flash. Doll House Decoration Game Flash.

Cute Anime Style 1 Flash. Gorgeous Black Gothic Style Flash.

Bei vielen Hi Game kommt das Startguthaben als eine Art 1.11. Feiertag Nrw Bonusprogramms zum Starten:. - SORTIMO-PRODUKTE

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