On the surface of the planet lives a vampire , that can move with the speed not greater than u. A vampire slayer spaceship approaches to the planet with its speed v. As soon as the spaceship sees the vampire it shots a silver bullet - the vampire is dead. Prove that if v/u > 10 , the vampire slayer can accomplish his mission, even the vampire is trying to hide.
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Circle in a chess board Consider an infinite chessboard, where the squares have side length of 1. The squares are colored black and whit...
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A inch diameter round pizza has been sliced by straight cuts, leaving a right triangle in the middle as shown here The edge of the...
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100 Gold Coins Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all...
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