INTERPOLYATSIYA QIDIRUV ALGORITMI

Аннотация

Interpolation Search is an optimized search algorithm designed to locate the position of a given value within sorted arrays. Unlike binary search, it does not check the middle element of the search range; instead, it calculates the approximate position of the target value relative to the minimum and maximum values in the array. This approach can significantly speed up the search process, especially in cases where the array elements are uniformly distributed, providing anaverage timecomplexityof O(\log \log n). The article will conduct an in-depth analysis of the algorithm's working principle, its advantages, and disadvantages. It will compare its efficiency on uniformly and non-uniformly distributed data, and also examine various aspects of the algorithm's implementation. The practical application areas of interpolation search will be highlighted, particularly its significance when working with large volumes of sorted data. Finally, the article will discuss potential directions forfurther improvement of thealgorithm. Keywords:Interpolation Search, Sorted array, Search algorithm, Binary search, Time complexity, O(\log \log n), O(\log n), O(n), Uniform distribution, Non-uniform distribution, Position calculation, Efficiency, Implementation, Practical application.