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Leetcode Problem 1756. Design Most Recently Used Queue

1756. Design Most Recently Used Queue

Leetcode Solutions

Square Root Decomposition

  1. Initialize an array of deques (buckets) to store the elements, with each bucket capable of holding up to sqrt(n) elements.
  2. To fetch the kth element, determine which bucket it is in and the index within that bucket.
  3. Remove the element from its current bucket.
  4. Append the fetched element to the end of the last bucket.
  5. To maintain the bucket sizes, shift the first element of each subsequent bucket to the previous bucket until all buckets (except the last) are full.
  6. Return the fetched element.
UML Thumbnail

Linked List with Index Mapping

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