One form of this operation can be performed on strings using the (*) Rabin-Karp algorithm.
Joshua Bloch famously admitted that his implementation of an algorithm to do this for the Java Development Kit could lead to an integer overflow error because of a line that added low and high values and dived by two. This operation can be performed with a high probability of success in Big O of N to the one half time using a quantum computing algorithm called Grover's Algorithm. One form of this operation can be performed on strings using the (*) Rabin-Karp algorithm. One of the simplest ways to perform this operation runs in Big O of log N time and works by continually calculating a midpoint and determining if the midpoint is lower or higher than the desired value; that is the binary form of this operation. For 10 points, name this type of algorithm at the heart of websites like Bing and Google.
Joshua Bloch famously admitted that his implementation of an algorithm to do this for the Java Development Kit could lead to an integer overflow error because of a line that added low and high values and dived by two.
{searching} algorithms [accept {binary searching algorithms} before “{probability}” is read]