Interpolation search is a search algorithm used to find an element in a sorted array by estimating its position through linear interpolation between the values found at two indices.
The interpolation search algorithm works by taking the position of the element in terms of its value relative to the start and end of the array. It then positions a pointer to the middle value of the array, and estimates the position of the element by projecting it along a linear path from the start to the end of the array, based on the relative value of the element being searched for.
For example, consider an array of integers:
[10, 20, 30, 40, 50, 60, 70, 80, 90, 100]
To find the position of the element 50 using interpolation search, we would estimate its position as follows:
Thus, the element 50 is found in position 4.
Interpolation search is an efficient algorithm for searching for an element in a sorted array.
However, it does require that the array be uniformly distributed.
The algorithm works by estimating the position of the element based on the values of the endpoints and the target element.
The estimate is then used to determine whether the target element is in the upper or lower half of the array.
If the target element is not found, the algorithm repeats this process on the appropriate half of the array until the target element is found or the search is exhausted.
In the best case scenario, interpolation search can achieve a time complexity of O(log log n).
However, in the worst case scenario, where the array is not uniformly distributed or the target element is at the beginning or end of the array, the time complexity can be O(n).
Overall, interpolation search is a useful algorithm for searching sorted arrays, especially when the array is uniformly distributed.
What is the time complexity of Interpolation Search algorithm in worst case?
Answer: The worst case time complexity for Interpolation search is O(n).
Explain the basic concept of Interpolation search.
Answer: Interpolation search is a search algorithm which works on a sorted array of elements. It uses the value of the target key and the estimation of its position in the array to determine where to search next. It is more efficient than binary search if the values in the array are uniformly distributed.
What is the difference between Interpolation search and Binary search?
Answer: Interpolation search is a more efficient search algorithm than binary search because it uses the value of the target key and the estimation of its position in the array to determine where to search next. Binary search uses the midpoint of the array as the index for each comparison.
What are the advantages of using Interpolation search?
Answer: Interpolation Search has the following advantages:
a) It is more efficient than binary search in interpolation.
b) It performs better when values in the array are uniformly distributed.
c) It improves the complexity of the algorithm.
What is the formula used in Interpolation search algorithm to estimate the position of the target key?
Answer: The formula used in Interpolation search algorithm to estimate the position of the target key is:
mid = low + [(target - arr[low]) / (arr[high] - arr[low]) * (high - low)]