You need to rotate an array by a very large 'k'. What optimization can be applied to improve efficiency?
No optimization is possible for large 'k'.
Use a temporary array to store elements.
Calculate the effective rotation (k % n) where n is the array length.
Sort the array before rotation.
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
What is a key characteristic of a circular array?
It has a fixed size that cannot be changed.
It allows direct access to any element in O(1) time.
It conceptually wraps around, so the last element is followed by the first.
It automatically sorts elements in ascending order.
Which data structure is most suitable for implementing a sorted array with efficient insertion and deletion operations?
Stack
Array
Linked List
Queue
Which of the following is NOT a characteristic of a stable sorting algorithm?
Preserves the order of equal elements.
Always has a time complexity of O(n log n).
Can be implemented in both recursive and iterative forms.
Suitable for sorting objects based on multiple criteria.
In which scenario is a sparse array particularly useful?
Storing a large sorted array
Storing a small array with frequent updates
Representing a matrix with mostly zero values
Implementing a stack data structure
Merge Sort is considered a stable sorting algorithm. What does 'stable' mean in this context?
The algorithm is not affected by the initial order of elements in the array.
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 always takes the same amount of time to sort an array of a given size.
Which sorting algorithm would be most suitable for sorting a very large dataset that cannot fit entirely in RAM?
Heap Sort
Merge Sort
What is the time complexity of searching for a target value in a sorted array using binary search?
O(n)
O(n log n)
O(1)
O(log n)
In the context of searching algorithms, what does the term 'adaptive' refer to?
Algorithms with a constant time complexity.
Algorithms that adjust their strategy based on previous search results.
Algorithms that can handle unsorted data.
Algorithms that use divide-and-conquer techniques.