CLLSLL

CLLSLL stands for Circular Linked List of Singly Linked Lists. It is a composite data structure in which the outer structure is a circular linked list and each node stores a reference to a singly linked list. The outer ring enables continuous traversal, while each inner list holds a sequence of elements. This design groups elements into buckets while allowing efficient outer-iteration.

Structure: Each outer node contains two pointers: next, to the next outer node, and innerHead, to the head of its inner singly linked list. Inner lists vary in length. Some implementations use a sentinel node for outer or inner lists to simplify edge cases.

Operations: To insert into an existing bucket, add the element to the corresponding inner list. To create a new bucket, insert a new outer node and initialize its inner list. Deletion follows similar rules. Traversal visits outer nodes in order, then traverses each inner list. Searching locates the bucket first, then scans its inner list.

Performance and use cases: Time complexity depends on the number of outer nodes and inner lengths. Accessing a bucket by index is O(N) unless an index is maintained. Insertion into a non-empty bucket is O(1) for adding to the inner list, given the position is known. The structure suits bucketing streams of variable-length records, round-robin scheduling with per-bucket tasks, and scenarios needing wraparound traversal.

Variants: Some designs replace inner lists with arrays, or use doubly linked inner lists for faster traversal. A single sentinel node can reduce null checks.