you have 1000 bottles of water, one of which is poisoned. you have a bunch of lab rats that you can use to test the water and try to figure out which bottle is poisoned. unfortunately, since the poison takes 24 hours to activate, and you must figure out the results in 24 hrs, you must feed all your rats now, and then wait the next day to see the results. how many rats do you have to use to figure out which bottle of water is poisoned?