Multidimensional arrays are arrays of _______ arrays.
- Heterogeneous
- Homogeneous
- Linear
- Non-linear
Multidimensional arrays are arrays of homogeneous arrays, meaning that each element in the outer array points to another array of the same data type.
Reversing a linked list recursively involves changing the _______ of each node.
- Data
- Next pointer
- Previous pointer
- Value
Reversing a linked list recursively involves changing the previous pointer of each node. In each recursive call, the next pointer of each node is redirected to its previous node, gradually reversing the entire list.
In the context of strings, what does the term "edit" refer to in the Edit Distance algorithm?
- All of the above.
- Deleting characters from a string.
- Inserting characters into a string.
- Modifying characters in a string.
In the context of strings and the Edit Distance algorithm, the term "edit" refers to all three operations: deleting characters, inserting characters, and modifying characters in a string. These operations are used to transform one string into another.
Which shortest path algorithm is suitable for finding the shortest path from a single source vertex to all other vertices in a weighted graph with non-negative edge weights?
- Bellman-Ford Algorithm
- Dijkstra's Algorithm
- Floyd-Warshall Algorithm
- Prim's Algorithm
Dijkstra's Algorithm is suitable for finding the shortest path from a single source vertex to all other vertices in a weighted graph with non-negative edge weights. It uses a greedy approach, iteratively selecting the vertex with the smallest known distance to the source.
Linear search examines each element in the array _______ until the desired element is found or the end of the array is reached.
- None of the above
- One by one
- Randomly
- Skip a few at a time
Linear search examines each element in the array one by one until the desired element is found or the end of the array is reached. It starts from the beginning and checks each element sequentially.
Selecting a _______ pivot element in Quick Sort can significantly reduce its time complexity.
- Largest
- Middle
- Random
- Smallest
Selecting a random pivot element in Quick Sort can significantly reduce its time complexity by minimizing the chance of encountering the worst-case scenario, leading to more balanced partitions.
One of the key advantages of merge sort is its _______ time complexity in all cases.
- O(log n)
- O(n log n)
- O(n)
- O(n^2)
One of the key advantages of merge sort is its O(n log n) time complexity in all cases. This makes it more efficient than some other sorting algorithms, especially in scenarios with large datasets.
How does the Fibonacci sequence relate to the golden ratio?
- The Fibonacci sequence is unrelated to the golden ratio.
- The golden ratio is the difference between Fibonacci numbers.
- The golden ratio is the sum of Fibonacci numbers.
- The ratio of consecutive Fibonacci numbers converges to the golden ratio.
The Fibonacci sequence is intimately connected to the golden ratio. As you progress in the sequence, the ratio of consecutive Fibonacci numbers converges to the golden ratio, approximately 1.6180339887. This relationship adds a layer of elegance to both concepts.
Manacher's Algorithm is particularly efficient when the input string contains many _______ palindromes.
- Disjoint
- Isolated
- Non-contiguous
- Overlapping
Manacher's Algorithm excels when the input string contains many overlapping palindromes. Its linear time complexity remains effective even in scenarios with a high density of overlapping palindromes.
How does merge sort perform in terms of time complexity compared to other sorting algorithms for large datasets?
- O(log n)
- O(n log n)
- O(n)
- O(n^2)
Merge sort excels in time complexity for large datasets, performing at O(n log n), which is more efficient than O(n^2) algorithms like bubble sort or insertion sort. This makes merge sort a preferred choice for large-scale sorting tasks.