A dwarf-killing giant lines up 10 dwarfs from shortest to tallest.The giant randomly puts a white or black hat on each dwarf. No dwarf can see their own hat. The giant will ask each dwarf, starting with the tallest, if they answer incorrectly, then he will kill them.Each dwarf can hear the previous answers, but cannot hear when a dwarf is killed.The dwarves are given an opportunity to collude before the hats are distributed.What strategy should be used to kill the fewest dwarfs?