You need to rotate an array by a very large 'k'. What optimization can be applied to improve efficiency?
Calculate the effective rotation (k % n) where n is the array length.
Sort the array before rotation.
No optimization is possible for large 'k'.
Use a temporary array to store elements.
Interpolation search is most likely to outperform binary search when:
The array is unsorted.
The array size is small.
The array is uniformly distributed.
The target element is located near the middle of the array.
What is the time complexity of deleting a given value from an unsorted array in the worst case?
O(n log n)
O(log n)
O(n)
O(1)
You are given a sorted array and a target value to insert. Which algorithm offers the best time complexity for inserting the target value while maintaining the sorted order?
Binary Search
Linear Search
Bubble Sort
Quick Sort
Which of the following is NOT a characteristic of a stable sorting algorithm?
Always has a time complexity of O(n log n).
Suitable for sorting objects based on multiple criteria.
Can be implemented in both recursive and iterative forms.
Preserves the order of equal elements.
In which scenario would using Insertion Sort for sorting an array be advantageous?
Sorting a very large array.
Sorting an almost sorted array.
Sorting an array with many duplicate elements.
Sorting an array in reverse order.
Merge Sort is considered a stable sorting algorithm. What does 'stable' mean in this context?
The algorithm always takes the same amount of time to sort an array of a given size.
The algorithm uses a fixed amount of memory regardless of the input size.
The algorithm maintains the relative order of elements with equal values after sorting.
The algorithm is not affected by the initial order of elements in the array.
In which scenario is a sparse array particularly useful?
Storing a large sorted array
Storing a small array with frequent updates
Implementing a stack data structure
Representing a matrix with mostly zero values
You want to search for a target value in a sorted array with millions of elements. Which algorithm would generally be the fastest?
Jump Search
Interpolation Search
Quick Sort is generally considered faster than Merge Sort in practice. What is one of the main reasons for this?
Quick Sort typically has smaller constant factors in its time complexity.
Quick Sort is a stable sorting algorithm, while Merge Sort is not.
Quick Sort has better space complexity than Merge Sort.
Quick Sort has better time complexity in all cases.