Puzzletober 2025: Blast

They rendezvous in the bathroom. The newcomer watches as he brings in an unlit makeshift oil lamp. He admits that he'd only just recently learned how to prepare one but nonetheless starts it like a natural. A blast of hot air emerges from the top. He starts to angle the lamp to try to direct the gust into the ice. The newcomer quickly states his worry that some oil might spill out and start melting its way straight through to the drain, but he is a little late; a droplet burrows halfway through before cooling down. They cautiously upright the lamp and rest it on the ice. The newcomer remarks that the lamp would be useful to take while retrieving the rug.

Rules: This puzzle is inspired by Time Bomb with parts from puzzles like Ice Walk and Water Walk. Every lamp moves simultaneously in terms of amount of spaces traveled and ignites when it has traveled as many spaces as its number. Lamps must not exit outside the grid. The entire grid is initially made of ice tiles, on which lamps must slide either along a diameter or in an arc around the center. However, when a lamp ignites, it stops moving and all its minesweeper-adjacent tiles turn into water tiles. Lamps cannot travel over more than two consecutive water tiles in a row. No two lamps travel through the same space, and a lamp cannot cross its own path on a water tile. The goal is to ignite a lamp precisely on top of the drain in the center.