Square Logic Puzzles
por LatexDucky
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Square Logic Puzzles
Etiquetas para Square Logic Puzzles
Descripción
Rompecabezas lógicos de cuadrados desde tamaños 3×3 hasta 10×10 y de 2 a 5 colores. También puedes probar cuadrículas iniciales aleatorias para un reto extra.
Cómo jugar
Haz clic en los cuadrados para cambiar el color de ese y los cuadrados adyacentes (diagonal no cuenta como adyacente). Los colores cambian en orden ROYGB. Consulta dentro del juego.
Actualizaciones del desarrollador
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
Comentarios
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.
Sosker
Feb. 18, 2009
Yay!!! My music in a game =] great job there LatexDucky :) Like it a lot
stabbats
Feb. 05, 2010
Has anybody solved 4x4 with two colours? I think it is impossible.
sandmanatlc
Jan. 18, 2009
Big step up from your previous. Love it a lot.
twitchlx
Jan. 10, 2009
now that is much easier for me to work with, thank you