# searching complexity in a sorted linked list

As in the given binary tree, the elements smaller than the root element are to the left of the root and the elements greater than the root element is to the right of the root, So the given tree is a binary search tree. General searching algorithm on sorted array is called Binary search algorithm - Wikipedia and has complexity of [math] O(log \ n) [/math]. Know Thy Complexities! Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. In a single linked list, the operation of insertion consists of: alternating pointer of previous element. In the worst case, the number of comparisons needed to search a singly linked list of length n for a given element is (GATE CS 2002) (A) log 2 n (B) n/2 (C) log 2 n – 1 (D) n Answer: (D) Explanation: In the worst case, the element to be searched has to be compared with all elements of linked list. When preparing for technical interviews in the past, I found myself spending hours crawling the internet putting together the best, average, and worst case complexities for search and sorting algorithms so that I wouldn't be stumped when asked about them. Implement and Compare the time & space complexities. Hence, accessing the middle element in a Linked List takes liner time. That's two operations, you first search O(n) the list for given position, then insert O(1) element into the list. Algorithm: Let input linked list is sorted in increasing order. Algorithm Step-1: Initialise the Current pointer with the beginning of the List. Sorted Linked List in data structure contains nodes in increasing or decreasing order of DATA parts of the nodes. The problem is that random access is not possible in a Linked List. Attention reader! We will create two functions. Let head be the first node of the linked list to be sorted and headRef be the pointer to head. Searching in Linked List Sequential search is the most common search used on linked list structures. Both are invariant to list size. Time Complexity: (Traversing the list) * (Inserting in Sorted List) = O(n)*O(n) = O(n²) Space Complexity = O(1) Critical ideas to think! Don’t stop learning now. This make it's running time complexity to be O(log n) while taking a constant O(1) space. 1) If Linked list is empty then make the node as head and return it. For the linked list, it's different, since in order to access the middle element we need to traverse it node by node and therefore finding the middle node could run in an order of O(n) Thus binary search is slow on linked list and fast on arrays Hi there! Merge sort is often preferred for sorting a linked list. Why is searching in Linked List slower than arrays? Quiz of this Question wrapping object into data structure and setting its pointer to next element. ... binary search is possible in a Linked List povided the data is sorted. First, which will iterate the list and Second, which will sort the elements till the given element of the first loop. 2) If the value of the node to be inserted is smaller than the value of the head node, then insert the node at the start and make it head. The given linked list is converted to a highly balanced binary search tree. Implementation for sorting a linked list. Which is the fastest algorithm for sorting a linked list: Insertion Sort, Merge sort or Quicksort? The slow random-access performance of a linked list makes some other algorithms (such as quicksort) perform poorly, and others (such as heapsort) completely impossible. This webpage covers the space and time Big-O complexities of common algorithms used in Computer Science. What is the best case complexity of the above algorithm? Searching process in a sorted linked list is different than that in an unsorted linked list. We will use a temporary node to sort the linked list. Output: Linked list before sorting 90 1 11 2 56 12 Linked list after sorting 1 2 11 12 56 90.