The time complexity of the standard dynamic programming approach for Matrix Chain Multiplication is _______.
- O(2^n)
- O(n)
- O(n^2)
- O(n^3)
The time complexity of the standard dynamic programming approach for Matrix Chain Multiplication is O(n^3), where 'n' is the number of matrices being multiplied. This is achieved through a bottom-up dynamic programming approach that efficiently calculates the optimal parenthesization.
What does Longest Increasing Subsequence (LIS) refer to?
- The longest subarray with elements in non-decreasing order.
- The longest subarray with elements in strictly increasing order.
- The maximum sum of elements in a subarray with consecutive elements.
- The minimum sum of elements in a subarray with consecutive elements.
Longest Increasing Subsequence (LIS) refers to the longest subarray with elements in strictly increasing order. The goal is to find the length of this subsequence.
What is the primary goal of solving the Longest Palindromic Substring problem?
- Checking if a string is entirely composed of unique characters.
- Counting the total number of palindromes in a given string.
- Identifying the longest substring that is a palindrome within a given string.
- Rearranging the characters in a string to form a palindrome.
The primary goal of solving the Longest Palindromic Substring problem is to identify the longest substring within a given string that reads the same backward as forward, i.e., a palindrome.
What is the primary objective of the A* search algorithm?
- Explore all nodes in a random order
- Find the shortest path from the start node to the goal node
- Skip nodes with high heuristic values
- Sort nodes based on their values
The primary objective of the A* search algorithm is to find the shortest path from the start node to the goal node by considering both the cost to reach the node and a heuristic estimate of the remaining cost.
The _______ algorithm is commonly used for lossless compression in string compression techniques.
- Bubble
- Huffman
- Merge
- Quick
The Huffman algorithm is commonly used for lossless compression in string compression techniques. It is a variable-length coding algorithm that assigns shorter codes to more frequent characters, optimizing the compression process.
What happens when you try to remove an element from an empty queue?
- Exception is raised
- Nothing, the operation is silently ignored
- Program crashes
- The last element is removed
When attempting to remove an element from an empty queue, the operation is usually silently ignored. This is because there are no elements in the queue, and there is nothing to remove.
How does the Last In, First Out (LIFO) principle apply to stacks?
- Elements are removed in a random order.
- Elements are removed in ascending order.
- The first element added is the first one to be removed.
- The last element added is the first one to be removed.
The Last In, First Out (LIFO) principle in stacks means that the last element added is the first one to be removed. This principle is essential for operations like push (adding an element to the stack) and pop (removing the last added element).
Can linear search be applied to non-numeric data types? If so, how?
- No, linear search only works for numbers
- Yes, but only for alphabetic data
- Yes, by comparing elements using equality
- Yes, by converting non-numeric data to numbers
Linear search can be applied to non-numeric data types by comparing elements using equality. Whether the data is numeric or non-numeric, the key is to determine equality between the search element and the elements in the array. Linear search doesn't rely on the numeric nature of the data; it only requires a condition for equality comparison, making it applicable to a wide range of data types.
To remove a node from a singly linked list, you need to update the _______ of the previous node.
- Data
- Next pointer
- Previous pointer
- Value
To remove a node from a singly linked list, you need to update the "next" pointer of the previous node to skip the node to be deleted. This redirects the linked list around the removed node.
Selection sort is a _______ sorting algorithm that repeatedly selects the _______ element and places it at the beginning.
- Comparison, minimum
- Divide and conquer, maximum
- Linear, last
- Simple, middle
Selection sort is a comparison sorting algorithm that repeatedly selects the minimum element and places it at the beginning of the array. This process continues until the entire array is sorted.