Research Blog: Extra, Extra - Read All About It: Nearly All Binary Searches and Mergesorts are Broken



Research Blog: Extra, Extra - Read All About It: Nearly All Binary Searches and Mergesorts are Broken

The latest news from Research at Google Posted by Joshua Bloch, Software Engineer I remember vividly Jon Bentley's first Algorithms lecture at CMU, where he asked all of us incoming Ph.D. students to write a binary search, and then dissected one of our implementations in front of the class. Of course it was broken, as were most of our implementations. This made a real impression on me, as did the treatment of this material in his wonderful Programming Pearls (Addison-Wesley, 1986; Second Edition, 2000). The key lesson was to carefully consider the invariants in your programs. Fast forward to 2006. I was shocked to learn that the binary search program that Bentley proved correct and subsequently tested in Chapter 5 of Programming Pearls contains a bug. Once I tell you what it is, you will understand why it escaped detection for two decades. Lest you think I'm picking on Bentley, let me tell you how I discovered the bug:

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