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.
You're tasked with designing a system for transmitting large volumes of textual data over a low-bandwidth network connection. How would you employ string compression techniques to minimize data transmission time and bandwidth usage?
- Apply run-length encoding to replace repeated consecutive characters with a count, reducing redundancy in the transmitted data.
- Implement lossy compression methods to achieve higher compression ratios, sacrificing some data accuracy for reduced transmission time.
- Use basic ASCII encoding to represent characters, ensuring minimal overhead during data transmission.
- Utilize lossless compression algorithms like Lempel-Ziv to identify and eliminate repetitive patterns in the text, ensuring efficient use of bandwidth.
In this scenario, employing lossless compression algorithms such as Lempel-Ziv is effective. Lempel-Ziv identifies and removes repetitive patterns in the text, optimizing bandwidth usage without compromising data integrity. This approach is commonly used in network protocols and file compression.
What is the goal of the Longest Increasing Subsequence problem?
- To find the length of the longest subarray with elements in strictly increasing order.
- To find the maximum element in the subarray with elements in non-decreasing order.
- To find the minimum element in the subarray with elements in strictly increasing order.
- To find the sum of elements in the longest subarray with consecutive elements.
The goal of the Longest Increasing Subsequence problem is to find the length of the longest subarray with elements in strictly increasing order.
Red-black trees provide _______ guarantees on the height of the tree, ensuring efficient operations.
- Arbitrary
- Loose
- No
- Strict
Red-black trees provide strict guarantees on the height of the tree. These guarantees ensure that the height of the tree is logarithmic in the number of nodes, leading to efficient search, insertion, and deletion operations.
In a graph containing cycles, _______ sorting cannot be performed as it violates the prerequisite of a directed acyclic graph (DAG).
- Depth-First
- Linear
- Radix
- Topological
In a graph containing cycles, topological sorting cannot be performed as it violates the prerequisite of a directed acyclic graph (DAG). Topological sorting relies on establishing a linear ordering of vertices, which is not possible in the presence of cycles.
Consider a scenario where you need to implement a cache to store frequently accessed database records. Explain how you would use a hash table to achieve efficient caching.
- Design a cache with a linked list for efficient record retrieval.
- Employ a hash table with keys as record identifiers and values as the corresponding database records.
- Implement a cache using a stack data structure for simplicity.
- Use a hash table with keys as the most recently accessed records for cache eviction.
To achieve efficient caching, using a hash table with keys as record identifiers and values as the corresponding database records is a suitable approach. This allows for constant-time lookups and efficient retrieval of frequently accessed records.
The Floyd-Warshall algorithm computes the shortest paths between _______ pairs of vertices in a weighted graph.
- Adjacent, Important
- All possible, All possible
- Connected, Selected
- Specific, Critical
The Floyd-Warshall algorithm computes the shortest paths between all possible pairs of vertices in a weighted graph. It uses dynamic programming to find the shortest paths and is suitable for graphs with both positive and negative edge weights.