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What is time complexity of bubble sort?
O(n*n)
What is the time complexity of radix sort?
If the range of numbers is 1....n and the size of numbers is k(small no.) then the time complexity will be theta n log..
Which of the sorting algorithms has the lowest worst-case complexity?
The sorting algorithm with the lowest worst-case time complexity is Merge Sort, which operates at O(n log n). This efficiency applies regardless of the input data's initial order, making it a reliable choice for large datasets. Other algorithms, such as Quick Sort and Heap Sort, also have O(n log n) worst-case complexity, but Merge Sort is particularly noteworthy for its stable sorting properties.
How do you select pivot in quick sort?
quick sort has a best case time complexity of O(nlogn) and worst case time complexity of 0(n^2). the best case occurs when the pivot element choosen as the center or close to the center element of the list.the time complexity can be derived for this case as: t(n)=2*t(n/2)+n. whereas the worst case time complexity for quick sort happens when the pivot element is towards the end of the list.the time complexity for this can be derived using the recurrence eqn: t(n)=t(n-1)+n
What is the best case complexity of selection sort algorithm?
The best case complexity of the selection sort algorithm is (O(n^2)). This is because the algorithm always consists of two nested loops: one for selecting each element and another for finding the minimum element from the unsorted portion of the array. Regardless of the initial order of the elements, selection sort will always perform the same number of comparisons and swaps, leading to a quadratic time complexity.
What is the runtime complexity of the bucket sort algorithm?
The runtime complexity of the bucket sort algorithm is O(nk), where n is the number of elements to be sorted and k is the number of buckets used.
Why quick sort better than merge sort?
it has less complexity
What is complex sort?
Time complexity Best case: The best case complexity of bubble sort is O(n). When sorting is not required, all the elements are already sorted. Average case: The average case complexity of bubble sort is O(n*n). It occurs when the elements are jumbled, neither properly ascending nor descending. Worst case: The worst-case complexity of bubble sort is O(n*n). It occurs when the array elements are needed to be sorted in reverse order. Space complexity In the bubble sort algorithm, space complexity is O(1) as an extra variable is needed for swapping.
What is the memory complexity of quick sort algorithm?
The memory complexity of the quick sort algorithm is O(log n) in the best case and O(n) in the worst case.
What is the runtime complexity of the heap sort algorithm?
The runtime complexity of the heap sort algorithm is O(n log n), where n is the number of elements in the input array.
What is the time complexity of heap sort algorithm?
The time complexity of the heap sort algorithm is O(n log n), where n is the number of elements in the input array.
What is the running time of heap sort algorithm in terms of time complexity?
The running time of the heap sort algorithm is O(n log n) in terms of time complexity.
What is the space complexity of quick sort algorithm?
The space complexity of the quick sort algorithm is O(log n) in the best and average cases, and O(n) in the worst case.
What is the space complexity of the Quick Sort algorithm?
The space complexity of the Quick Sort algorithm is O(log n) in the best and average cases, and O(n) in the worst case.
What is the time complexity of quick sort algorithm?
The time complexity of the quick sort algorithm is O(n log n) in the average case and O(n2) in the worst case.
What is the time complexity of the best case scenario for Bubble Sort?
The time complexity of the best case scenario for Bubble Sort is O(n), where n is the number of elements in the array.
What are the key differences between merge sort and heap sort, and which one is more efficient in terms of time complexity and space complexity?
Merge sort and heap sort are both comparison-based sorting algorithms, but they differ in their approach to sorting. Merge sort divides the array into two halves, sorts each half separately, and then merges them back together in sorted order. It has a time complexity of O(n log n) in all cases and a space complexity of O(n) due to the need for additional space to store the merged arrays. Heap sort, on the other hand, uses a binary heap data structure to sort the array in place. It has a time complexity of O(n log n) in all cases and a space complexity of O(1) since it does not require additional space for merging arrays. In terms of efficiency, both merge sort and heap sort have the same time complexity, but heap sort is more space-efficient as it does not require additional space for merging arrays.
