First off, remove the rug (it looks like an area rug) and allow the floor full exposure to "air".
Secondly, bring in some BIG (industrial) fans. Get some SERIOUS ventilation over these floors. Do so AS SOON AS POSSIBLE!
Because you caught this quickly you can QUICKLY save these floors. You need to DRY THEM OUT. And do it now.
Find commercial rental products such as industrial fans/ventilators and get them in there ASAP. Let them run, and run, and run, and run. You will leave them on (24/7) until the wood is COMPLETELY dry. This could be a week or so.
Don't skimp on the electricity bill. Let the fans run. It is cheaper to pay another $100 in electricity than it is to rip-out/replace a house full of wood.
Good luck. You've caught this quickly. You can quickly get your floors back in order by getting the industrial fans on them.
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