Predicting the next occurrence based on binary
Do you have more features ?
If not, you can try to find a filling pattern, for example, probably some places are filled first because, for example, are closer to the entrance, then another group etc.
Try to plot as a time dependent problem. I cannot tell how much bigger the error will be.
If you have at least the x, y of the place and the timestep of the value, then you have a pattern.