What equipment to choose for a wi-fi network in a large building?

Question

WiFi

Hello, please advise how to solve the problem. It is necessary to install wifi in a four-story building (500m2/floor), so that there is only one access point. The idea came to me to arrange repeaters and connect them to one router. But the bandwidth of the router is not rubber, and therefore it must be powerful enough, about 100-200 connections are expected (mostly smartphones in social networks). Prompt suitable model, or other solutions if any.
Now it works on a router per floor and seems to cope with the load