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Square Logic Puzzles
par LatexDucky
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Square Logic Puzzles
Tags pour Square Logic Puzzles
Description
Puzzles logiques carrés de tailles 3x3 à 10x10 et de 2 à 5 couleurs. Vous pouvez aussi essayer des grilles de départ aléatoires pour un défi supplémentaire.
Comment jouer
Cliquez sur les carrés pour changer leur couleur ainsi que celle des carrés adjacents (pas en diagonale). Les couleurs changent dans l’ordre ROYGB. Voir dans le jeu.
Mises à jour des développeurs
1/9/09
Added name of colors on the squares
1/10/09
In-game statistics are finished. Every mode is tracked now for time/moves
Commentaires
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localdeity
Feb. 28, 2012
1. FOR BOARD n x n MOD m, WRITE A MATRIX THAT DESCRIBES THE MAPPING "VECTOR OF THE n^2 SQUARES YOU CLICK ON 0-(m-1) TIMES" -> "VECTOR OF THE n^2 SQUARES THAT HAVE THEIR STATES CHANGED 0-(m-1) STEPS FORWARD. CALL THIS MATRIX M.
2. INVERT THIS MATRIX MOD m.
3. NOW, GIVEN INITIAL POSITION VECTOR V, YOU WANT SOLUTION VECTOR U, SUCH THAT M*U + V = 0. SO YOUR SOLUTION VECTOR IS SIMPLY -V * M^-1.
4. NOW YOU HAVE SOLUTION TO ALL PROBLEMS IN O(n^6) TIME--OR AT ANY RATE THE TIME IT TAKES TO INVERT AN n^2 x n^2 MATRIX.
5. WONDER WHAT TO DO WHEN M DOESN'T HAVE AN INVERSE MOD m.
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Sosker
Feb. 18, 2009
Yay!!! My music in a game =] great job there LatexDucky :) Like it a lot
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stabbats
Feb. 05, 2010
Has anybody solved 4x4 with two colours? I think it is impossible.
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sandmanatlc
Jan. 18, 2009
Big step up from your previous. Love it a lot.
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twitchlx
Jan. 10, 2009
now that is much easier for me to work with, thank you
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