In-each-square-of-a-5-5-board-there-is-a-lamp-turned-off-If-we-touch-a-lamp-then-that-lamp-and-the-ones-in-neighbouring-squares-the-squares-which-share-a-side-change-their-states-After-a-certain-

Question Number 160269 by Unnamed last updated on 27/Nov/21

I n e a c h s q u a r e o f a 5 \times 5 b o a r d t h e r e

i s a l a m p t u r n e d o f f . I f w e t o u c h a

l a m p t h e n t h a t l a m p a n d t h e o n e s i n

n e i g h b o u r i n g s q u a r e s (t h e s q u a r e s

w h i c h s h a r e a s i d e) c h a n g e t h e i r

s t a t e s . A f t e r a c e r t a i n n u m b e r o f

m o v e s, I s i t p o s s i b l e t o t u r n o n a l l

l a m p s ? G i v e R e a s o n ?

Commented by Rasheed.Sindhi last updated on 27/Nov/21

E x c e p t o n e b u l b a l l c a n b e t u r n e d o n .

A t l e a s t a c c o r d i n g t o m y s o l u t i o n .