In a distant, dark forest, lives a population of highly intelligent dwarfs. The dwarfs all look exactly alike, but only differ in the fact that they are wearing either a red or a blue hat. Striking however, is that none of the dwarfs knows what the color of his or her hat is. This is because it is forbidden to speak about the color of the hats, and there no mirrors in the forest. Nevertheless, the dwarfs do know that there is at least one dwarf with a red hat.

Once every century, there is a big party in this village, to which initially all dwarfs will go. However, this party is only intended for dwarfs wearing a blue hat. Dwarfs with a red hat are supposed not to return to the party the next day, as soon as they know that they are wearing a red hat.

The question: How many days did it take before there were no more dwarfs with a red hat left at the last party, if you know that there were then 250 dwarfs with a red hat and 150 dwarfs with a blue hat?

The answer: Click here!

Another question: The dwarfs prefer a faster way to separate the red hats from the blue hats, how can they accomplish this?

A hint : Click here!

Another answer: Click here!