![]() ![]() ![]() Get interview-centric live online classes on Data Structure and Algorithms from any geographical location to learn and master DSA concepts for enhancing your problem-solving & programming skills and to crack the interview of any product-based company – Geeks Classes: Live Session Learn any programming language from scratch and understand all its fundamentals concepts for a strong programming foundation in the easiest possible manner with help of GeeksforGeeks Language Foundation Courses – Java Foundation | Python Foundation | C++ Foundation This bug applies equally to merge sort and other divide and conquer algorithms. In java, it throws ArrayIndexOutOfBoundException. The sum overflows to a negative value and the value stays negative when divided by 2. ![]() Specifically, it fails if the sum of low and high is greater than the maximum positive int value(2 31 – 1 ). That is, it fails for larger values of int variables low and high. Maybe, you wonder why we are calculating the middle index this way, we can simply add the lower and higher index and divide it by 2.īut if we calculate the middle indexlike this means our code is not 100% correct, it contains bugs. In the case of recursive implementation, O(Logn) recursion call stack space.Īlgorithmic Paradigm: Decrease and Conquer. Īuxiliary Space: O(1) in case of iterative implementation. It falls in case II of the Master Method and the solution of the recurrence is. The above recurrence can be solved either using the Recurrence Tree method or the Master method. The time complexity of Binary Search can be written as: T(n) = T(n/2) + c
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