Puzzle Statues, Part 1

Last time I finished the "Path Puzzle" room, where you'll push a set of statues into places which allows you to open the door and progress to the next room. I didn't actually make the statues however, so that's what today's post is for!

In this first part I'll be making the past version of the statues, the ones you'll be able to push around:

There's one long statue that will fall to the right in present times (the cat). There's also a short statue that will fall to the right in present times (the puzzle), a hammer that falls to the left, and a "slime totem" which falls upwards! 

Can you figure out how to solve the puzzle? :)