freeCodeCamp/guide/english/algorithms/search-algorithms/jump-search/index.md

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title
Jump Search

A jump search locates an item in a sorted array by jumping k items in the array and then verifies if the item wanted is between the previous jump and current jump.

Worst Case Complexity

O(√N)

How does it work ?

  1. Define the value of k, the number of jumps: The optimal jump size is √N where N is the length of the sorted array.
  2. Jump over the array elements by k everytime, checking the following condition Array[i] < valueWanted < Array[i+k].
  3. If the previous condition is true, then do a linear search between Array[i] and Array[i + k].
  4. Return the position of the value if it is found in the array.

Jumping Search 1

Code

To view examples of code implementation for this method, access this link below:

Jump Search - OpenGenus/cosmos

Credits

The logic's array image