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Square Logic Puzzles
by LatexDucky
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Square Logic Puzzles
Tags for Square Logic Puzzles
Description
Square logic puzzles from sizes 3x3 to 10x10 and 2 to 5 colors. You can also try random starting grids for an extra challenge.
How to Play
You click squares to change the color of that and the adjacent squares (diagonal is not adjacent). The colors change in ROYGB order. See in game.
Developer Updates
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
Comments
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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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