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What is the running time of binary search algorithm?
The running time of the binary search algorithm is O(log n), where n is the number of elements in the sorted array being searched.
What is the best search algorithm to use for an unsorted array?
The best search algorithm to use for an unsorted array is linear search. It involves checking each element in the array one by one until the desired element is found. This algorithm has a time complexity of O(n), where n is the number of elements in the array.
The time complexity of the sequential search algorithm is?
O(N) where N is the number of elements in the array you are searching.So it has linear complexity.
What are some common array search algorithms used in computer science and how do they differ in terms of efficiency and implementation?
Some common array search algorithms in computer science include linear search, binary search, and hash table search. Linear search checks each element in the array one by one until the target element is found. It has a time complexity of O(n) where n is the number of elements in the array. Binary search is more efficient as it divides the array in half at each step, reducing the search space by half each time. It has a time complexity of O(log n) where n is the number of elements in the array. However, binary search requires the array to be sorted. Hash table search uses a hash function to map keys to values in a data structure called a hash table. It has an average time complexity of O(1) for searching, making it very efficient. However, hash table search may have collisions which can affect its efficiency. In terms of implementation, linear search is simple and easy to implement but may not be efficient for large arrays. Binary search is more complex to implement but is very efficient for sorted arrays. Hash table search requires additional data structures and functions to implement but provides fast search times for large datasets.
If array is full how you apply linear search?
An array in C is structured so that it has no particular size; you have to know ahead of time what the dimensions are.So, a linear search means that you go from the first element to the last, either finding the element in the table, or going to the very last element and not finding it.Arrays in C can be zero-terminated, in which case you get the element that does not have a value, and that indicates the value you are searching for is not there.If the array is not zero terminated then you can calculate the dimension of the array, or apply the sizeof operator times the size of the first element to determine the length of the search.
What are advantages and disadvantages of linear search?
1)in linear search it needs more space and time complexity. 2) in linear search if the key element is the last element and the search is from first element that is a worst case, or if the key element is the first element and the search is from last element then also is the worst case.
What is the running time of transforming an arbitrary array into heap?
Building a heap from an arbitrary array takes O(n) time for an array of n elements.
What is the time complexity of an algorithm that utilizes a binary search algorithm to search through a sorted array, where the search time is represented by the function log(n) in terms of the input size n?
The time complexity of an algorithm that uses a binary search on a sorted array is O(log n), where n is the size of the input array.
What are advantage of linear searching?
There no advantages to linear search other than searching for the first (or last) nodes. Linear search takes linear time with an average O(n/2) for each search.
What is the running time of heapsort on an array A of length n that is already sorted in increasing order?
The running time of HEAPSORT on an array A of length n that is already sorted in increasing order is (n lg n) because even though it is already sorted, it will be transformed back into a heap andsorted.The running time of HEAPSORT on an array A of length n that is sorted in decreasing order willbe (n lg n). This occurs because even though the heap will be built in linear time, every time themax element is removed and the HEAPIFY is called it will cover the full height of the tree
What is the time complexity of an algorithm that uses a binary search to find an element in a sorted array in logn time?
The time complexity of an algorithm that uses binary search to find an element in a sorted array in logn time is O(log n).
What condition linear search is better than binary search?
In linear search, the searched key will be compared with each element of the array from the beginning and terminate comparing when the searched key is found or the array is reached. Here time complexity in worst case and average case is O (n). To find an element quickly we use divide and conquer method by using binary search algorithm. Here probed region is reduced from n to n/2. Time complexity is O (log2 n), but here the array should be sorted. But in interpolation search the probed region is reduced from n to n1/2. If the array elements are uniformly distributed the average case complexity is O (log2 (log2n)). Am also searching for hashing to compare & contrast with above.
