What are you feeding your cat that they're nuking the place? Only cat I ever had do that was in its 20s, whenever that thing went it the entire house smelt like organ failure.
With my cat it would be kch kch kch kch kch silence kchkchkchkchkch kch kch kch kchkchkchkchkch massive shit kch kch kch kch MEOW 5 minutes of olympic sports
For some reason our old cat would scratch the floor outside the litter box when he was done, and sometimes grab on to some random thing next to it, like a shoe, and pull it into the litter box.