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What is the time taken to insert an element after an element pointed by some pointer?
Constant time.
What is the time complexity of accessing an element of an N dimensional array?
n
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 time required to insert element in stack with linked implementation?
O(1)
Difference between Fibonacci heap and binomial heap?
Like a binomial heap, a fibonacci heap is a collection of tree. But in fibonacci heaps, trees are not necessarily a binomial tree. Also they are rooted, but not ordered. If neither decrease-key not delete is ever invoked on a fibonacci heap each tree in the heap is like a binomial heap. Fibonacci heaps have more relaxed structure than binomial heaps.
What is the time complexity of removing an element from a heap data structure?
The time complexity of removing an element from a heap data structure is O(log n), where n is the number of elements in the heap.
What is the time complexity of heap search in terms of its search time complexity?
The time complexity of heap search is O(log n), where n is the number of elements in the heap. This means that the search time complexity of a heap search operation is logarithmic in the number of elements in the heap.
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 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 worst case time complexity of heap sort?
The worst case time complexity of heap sort is O(n log n), where n is the number of elements in the input array.
What is the best case time complexity of heap sort?
The best case time complexity of heap sort is O(n log n), where n is the number of elements in the array being sorted.
What is the worst-case time complexity of the heap sort algorithm?
The worst-case 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 time complexity of inserting an element into a linked list?
The time complexity of inserting an element into a linked list is O(1) or constant time.
What are the differences between heap sort and merge sort, and which one is more efficient in terms of time complexity?
Heap sort and merge sort are both comparison-based sorting algorithms. The main difference between them is in their approach to sorting. Heap sort uses a binary heap data structure to sort elements. It repeatedly extracts the maximum element from the heap and places it at the end of the sorted array. This process continues until all elements are sorted. Merge sort, on the other hand, divides the array into two halves, sorts each half recursively, and then merges the sorted halves back together. In terms of time complexity, both heap sort and merge sort have a time complexity of O(n log n) in the worst-case scenario. However, in practice, merge sort is often considered more efficient because it has a more consistent performance across different input data sets. Heap sort can have a higher constant factor in its time complexity due to the overhead of maintaining the heap structure.
What is the time complexity of the vector insert operation in data structures and algorithms?
The time complexity of the vector insert operation in data structures and algorithms is O(n), where n is the number of elements in the vector.
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.
What is the time complexity of quicksort when the first element is chosen as the pivot?
The time complexity of quicksort when the first element is chosen as the pivot is O(n2) in the worst-case scenario.
