Sunday, August 15, 2010

Solve these problems!

Math Problems

  • Given an arc construct a circle containing the arc.
  • Given three points construct a circle passing through all the three points. Ignore the co-linearity case.

Algorithmic Problems

  • Find out the pair of numbers from an array of numbers having the given sum.
  • How can we search a number in O(log n) in a circularly sorted array?

A friend of mine asked me these questions. I had lost touch on most of the geometrical concepts. It was interesting solving these problems again. I guess they are some of the standard ones at schools.

-- Varun

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