Question

Do you have linear algebra in you to solve this puzzle

Starting with 5x5 off squares, get the configuration in which all except the center square is on.

Each click on a square toggles that particular square and its adjacent squares.

(A square is adjacent if it is immediate left/right/top/bottom)

Answer 1

12 clicks?

Answer 2

thats very fast!
I took 11 clicks, please attach the screenshot of your final configuration

Answer 3

Excellent!

Answer 4

Nope I can't get it, @thomasker you're fast

Answer 5

Haha it took me more than 1 hour the first time

Answer 6

WHAT THE HELL IS THIS, RATIONAL? HOW DID YOU DO THAT?

Answer 7

just some javascript code... im still working on it... will share once it is fully ready :)

Answer 8

congrats mathmath ! you took 12 clicks too ?

Answer 9

i forgot the exact pattern but it was less than 12 clicks,

Answer 10

hi Nnesha

Answer 11

ohkk.. the exact pattern is kinda neat
it can be shown that the final configuration doesn't depend on the order of moves because matrix addition is commutative

Answer 12

i fanned you!!

Answer 13

oh my god how is this about linear algebra

Answer 14

i don't even know how i should begin modelling this

Answer 15

me neither

Answer 16

@rational, for your case of 11 moves, you start with all on or all off?

Answer 17

I can't get it lower than 5 =(

Answer 18

I started with them all off and was playing around with just hitting out patterns and found this solution haha: