The conversation between human and AI assistant.
You have 1000 wine bottles, one of which is poisoned. You want to determine which bottle is poisoned by feeding the wines to the rats. The poisoned wine takes one hour to work. How many rats are necessary to find the poisoned bottle in one hour?
Can you explain to me how you got that answer?
Yes, sure. You have 1000 bottles of wine, so you should number each bottle from 1 to 1000. Then, you convert the number into binary. For example, bottle number 1 would be represented as '0000000001'. You will need as many rats as the number of digits that are changed in binary between two consecutive bottle numbers. Since 2^9 is equal to 512, 10 rats will suffice to find the poisoned bottle in one hour.