What is the time complexity of linked list cycle?
Time and space complexity analysis
The above algorithm for detecting cycles in a linked list has a time complexity of O(n) because it traverses each node in the list once. However, it has a space complexity of O(n) because it uses an extra variable (the "visited" flag) for each node in the list.
It can be implemented using an array or a circular linked list. The time complexity for each queue operation takes O(1).
A cycle occurs when a node's next points back to a previous node in the list. The linked list is no longer linear with a beginning and end—instead, it cycles through a loop of nodes.
Array takes more time while performing any operation like insertion, deletion, etc. Linked list takes less time while performing any operation like insertion, deletion, etc. Accessing any element in an array is faster as the element in an array can be directly accessed through the index.
A linked list contains a cycle if it consists of a node that can be reached again by continuously following the next pointer. Explanation: The linked list consists of a loop, where the last node connects to the second node.
- Both initially point to the head of the list.
- The slow pointer jumps one place and the fast pointer jumps 2 places.
- The node at which the slow and fast pointer meet is a loop node.
Time Complexity: O(N) , N is the number of nodes in a linked list.
Time Complexity: The linked list is traversed once, so the time complexity is O(n). Space Complexity: We're not using any extra space, so space complexity is O(1).
For instance, if a statement is executed multiple times n and the time to run this statement a single time is k , then its time complexity would be n ∗ k n*k n∗k .
Source: Devopedia 2022. Since all elements need to be stored, the worst-case space complexity for a queue is O(n). Enqueuing has O(1) average time complexity since only an element is inserted and the rear pointer is updated. With dynamic arrays, occasionally the operation will take longer if resizing is required.
What is the space complexity of circular queue?
Complexity. Time complexity of EnQueue(), DeQueue() operation is O(1) as there is no loop in any of the operation. Space complexity is O(n) where n is number of elements.
Worst Case Time Complexity of insertion sort on linked list is O(n^2). Average Case Time Complexity of insertion sort on linked list is O(n^2). Best Case Time Complexity of insertion sort on linked list is O(n). Space Complexity of insertion sort on linked list O(1).
Insertion takes place at one end, i.e., the rear end or the tail of the queue, and deletion takes place at the other end, i.e., the front end or the head of the queue. The time complexity of a simple queue is O(1) for insertion and deletion operations.
Time complexity of a Priority Queue in C++
Creating a heap takes O(n) time while inserting into a heap (or priority queue) takes O(log(n)) time.