Yes 1000 Bottle of water , One of them is toxic , A little poisoned water for a mouse 24 It's going to die in hours , At least how many mice are needed 24 The bottle of water was identified as toxic by hour .
Let me explain , And give a plan , Time is not a problem ,24 We'll be able to find the toxic one in an hour .
to 1000 Each bottle is labeled as follows （10 Bit length ）：
0000000001 （ The first 1 bottle ）
0000000010 （ The first 2 bottle ）
0000000011 （ The first 3 bottle ）
1111101000 （ The first 1000 bottle ）
From number last 1 Bit is 1 All the bottles of 1 Drops mixed together （ Like from the first bottle , Third bottle ,... Take out one drop and mix them ） And marked as 1. and so on , The first digit from the number is 1 All the bottles of 1 Drop mixed and marked as 10. Now we have 10 Number of mixture , Mouse platoon station , Mark separately 10,9,...1 Number , And fill them with the mixture of corresponding numbers .24 Hours passed , Come to the autopsy ：
Left to right , The dead mouse is labeled 1, It's not dead 0, Finally, we get a sequence number , Change the serial number to 10 Base digit , It's the number of the poisonous bottle of water .
Check it out ： If the first bottle is toxic , according to 0000000001
（ The first 1 bottle ）, Note No 1 No. 1 mixture is toxic , So the life and death sign of the mouse is 0000000001（ No 1 The duplicant is dead ）,0000000001 Binary label to decimal =1 No. 1 bottle is poisonous ; If the third bottle is toxic ,0000000011
（ The first 3 bottle ）, The first 1 No. and No 2 No. 1 mixture is toxic , So the life and death sign of the mouse is 00000011（ No 1,2 The rat brother is dead ）,0000000011 Binary label to decimal =3 No. 1 bottle is poisonous .