Thank you for your reply!
The staff in the hands of Chestmaster starts glowing (yellow on first levels, then green) when you're close to the chest with a cat in it, so I think, this is already a puzzle-type game. On higher levels, staff starts to disappear, change colors, and in the end, it does both, but when you're close to the right chest, it glows with one color, so you still can tell where the cat is.