There is an air force base on an island. You are given a plane to fly around the world without landing (except at the island where you started). The island lies on the equator and you will be flying around the equator, essentially a circle. The plane can carry enough fuel for half the journey. You can take help from other planes that can transfer fuel to your plane instantaneously while in flight. All planes fly at the same speed and carry the same amount of fuel, which again is just enough for a journey half way around the world. Find the minimum number of planes required so that one plane can circumnavigate the globe and all the refueling planes return to the island safely.
Credits: Martin Gardner