Dijkstra's algorithm is used to find the shortest path from a _______ vertex to all other vertices in a weighted graph with _______ edge weights.
- Destination, Fixed
- Initial, Varying
- Source, Uniform
- Starting, Variable
Dijkstra's algorithm is used to find the shortest path from a source vertex to all other vertices in a weighted graph with uniform edge weights. It employs a greedy strategy, always selecting the vertex with the smallest known distance.
The LIS problem is significant in real-world applications such as _______.
- All of the above
- DNA Sequencing
- Image Processing
- Network Routing
The Longest Increasing Subsequence problem has significant applications in real-world scenarios such as DNA sequencing, network routing, and image processing. It is used to find the longest ordered subsequence in various contexts.
Dijkstra's algorithm is commonly employed in _______ systems to calculate the shortest route between locations.
- Database
- Operating
- Queue
- Routing
Dijkstra's algorithm is commonly employed in routing systems to calculate the shortest route between locations. It helps find the most efficient path in networks, such as road maps or computer networks.
Imagine you are working on a system where stability is crucial, and you need to sort a list of objects with identical keys. Which sorting algorithm would you choose, and why?
- Heap Sort
- Merge Sort
- Quick Sort
- Radix Sort
Merge Sort would be the preferred choice in this scenario. It is a stable sorting algorithm, meaning it preserves the relative order of elements with equal keys. Additionally, its time complexity of O(n log n) ensures efficient sorting, making it suitable for stable sorting tasks.
You are developing a plagiarism detection system for a large document database. Which pattern matching algorithm would you choose and why?
- Boyer-Moore Algorithm
- Knuth-Morris-Pratt (KMP) Algorithm
- Naive Pattern Matching
- Rabin-Karp Algorithm
For a plagiarism detection system in a large document database, the Rabin-Karp algorithm would be a suitable choice. It utilizes hashing to efficiently detect patterns, making it well-suited for identifying similarities in documents by comparing hash values.
What problem does the Ford-Fulkerson algorithm aim to solve?
- Counting the number of strongly connected components in a directed graph.
- Determining the minimum spanning tree of a graph.
- Finding the shortest path in a graph.
- Solving the maximum flow problem in a network.
The Ford-Fulkerson algorithm aims to solve the maximum flow problem in a network, where the goal is to find the maximum amount of flow that can be sent from a designated source to a designated sink in a flow network.
What is the time complexity of the selection sort algorithm in the worst-case scenario?
- O(log n)
- O(n log n)
- O(n)
- O(n^2)
The worst-case time complexity of the selection sort algorithm is O(n^2), where 'n' is the number of elements in the array. This is due to the nested loops used to find the minimum element in each iteration.
Consider a scenario where you need to search for a specific item in an unsorted list that is constantly changing. Discuss the advantages and disadvantages of using linear search in this situation.
- Binary search
- Hashing
- Jump search
- Linear search
In a scenario with an unsorted list that is constantly changing, linear search has the advantage of simplicity. However, its time complexity of O(n) may lead to inefficiency as the list size grows. Advantages include ease of implementation, but disadvantages involve potentially slower performance compared to other algorithms like hashing or jump search, which can exploit certain characteristics of the data for faster retrieval.
It ensures finding the shortest path by maintaining a _______ that contains the shortest distance to each node from the source.
- Binary Tree
- Linked List
- Priority Queue
- Stack
It ensures finding the shortest path by maintaining a priority queue that contains the shortest distance to each node from the source. The priority queue helps prioritize nodes based on their distance values, facilitating efficient path exploration.
Can regular expressions be used to validate email addresses? Explain.
- Email address validation requires manual checking and cannot be automated with regular expressions.
- No, regular expressions are not suitable for email address validation.
- Regular expressions can only validate numeric values, not textual data like email addresses.
- Yes, regular expressions can be used to validate email addresses by defining a pattern that checks for the required components like username, domain, and top-level domain (TLD).
Regular expressions can indeed be used to validate email addresses. The pattern can be crafted to ensure the presence of a valid username, domain, and top-level domain (TLD), adhering to the typical structure of email addresses.