Once there was a lazy monkey in a forest. But he loved banana too much. One day there was a storm in the jungle and all the bananas fell from the trees. The monkey didn’t want to lose any of the bananas. So, he wanted to find a banana such that he can eat that and he can also look after the other bananas. As he was lazy, he didn’t want to move his eyes too wide. So, you have to help him finding the banana from where he can look after all the bananas but the degree of rotating his eyes is as small as possible. You can assume that the position of the bananas can be modeled as 2D points.

Something vaguely analogous has happened in the computer industry. Each new species (mainframe, minicomputer, personal computer, handheld, embedded computer, smart card, etc.) seems to go through the development that its ancestors did, both in hardware and in software. We often forget that much of what happens in the computer business and a lot of other fields is technology driven. The reason the ancient Romans lacked cars is not that they liked walking so much. It is be- cause they did not know how to build cars. Personal computers exist not because millions of people have a centuries-old pent-up desire to own a computer, but be- cause it is now possible to manufacture them cheaply. We often forget how much technology affects our view of systems and it is worth reflecting on this point from time to time. In particular, it frequently happens that a change in technology renders some idea obsolete and it quickly vanishes. However, another change in technology could revive it again. This is especially true when the change has to do with the relative performance of different parts of the system. For instance, when CPUs became much faster than memories, caches became important to speed up the "'slow" memory. If new memory technology someday makes memories much faster than CPUs, caches will vanish. And if a new CPU technology makes them faster than memories again, caches will reappear. In biology, extinction is forever, but in computer science, it is sometimes only for a few years.