Incredibly clever! Once I realized how the lamps were working, the depth of the game nearly made my jaw drop! I would love to make my way through the whole game, but I will say that there were a few quality of life changes that might make it a bit smoother to play.
For one, I could see that the light from the lamp indicates the radius at which you get connected to it, but because the light doesn't effect the background layer, it can sometimes be hard to tell where that hitbox ends. This is especially problematic for an area I found where you have to jump over lower numbered lamps in order to keep your high number.
I would also love to see some indicator of whether a lamp is currently at its max number. There was one spot where i couldn't see how to progress until i just messed around with different lamps that at first felt extraneous, because i didn't realize another one had a higher number i could rewind to. And that felt less like solving a puzzle than a cheat.
But overall, fantastic work! This is a really cool concept that I could see you expanding into a mind-bending puzzle game on the level of Ooo or Leap Year!










