Suppose there is an infi nite sequence of lights numbered 1,2,3,..., and you know the following two rules about how the lights work:
∙ If the light numbered k is on, the lights numbered 2k and 2k+1 are also guaranteed to be on.
∙ If the light numbered k is off, then the lights numbered 4k+1 and 4k+3 are also guaranteed to be off.
Suppose you notice that light number 2023 is on. Identify all the lights that are guaranteed to be on? combinatoricsnumber theory