Proper memory management in arrays involves _______ memory when it is no longer needed.

  • Automatically releasing
  • Explicitly allocating
  • Restricting access to
  • Storing in a separate cache
Proper memory management in arrays involves automatically releasing memory when it is no longer needed. This process, known as deallocation or freeing memory, prevents memory leaks and ensures efficient memory usage.

What is the objective of finding the longest common subsequence?

  • To find the maximum length subarray that is common to two sequences.
  • To find the maximum length subsequence that is common to two or more sequences.
  • To identify the shortest common sequence between two sequences.
  • To minimize the length of the common subsequence.
The objective of finding the longest common subsequence is to determine the maximum length subsequence that is common to two or more sequences. It is often used in applications like DNA sequence comparison and version control systems.

Rabin-Karp algorithm is particularly useful when _______.

  • Dealing with sorted arrays.
  • Pattern matching involves numeric data.
  • Searching for a single pattern in multiple texts.
  • There are multiple occurrences of the pattern in the text.
The Rabin-Karp algorithm is particularly useful when searching for a single pattern in multiple texts. It employs hashing to efficiently search for a pattern in a text, making it advantageous in scenarios where the same pattern needs to be matched across different texts.

What is the main requirement for binary search to work correctly on an array?

  • The array must be reversed
  • The array must be sorted
  • The array must be unsorted
  • The array must have duplicate elements
The main requirement for binary search to work correctly on an array is that the array must be sorted. Binary search relies on the order of elements to efficiently discard half of the search space in each step.

Consider a scenario in a restaurant where orders are placed by customers and processed by the kitchen staff. How could you design a queue-based system to manage these orders efficiently?

  • Design a queue where orders are processed in a first-come, first-served manner.
  • Implement a stack-based system for order processing.
  • Randomly shuffle orders for a dynamic kitchen workflow.
  • Utilize a priority queue to prioritize orders based on complexity.
In a restaurant scenario, designing a queue-based system involves processing orders in a first-come, first-served manner. This ensures fairness and efficiency, allowing kitchen staff to handle orders in the order they are received.

A hash table typically consists of an array of _______ and a hash function that maps _______ to indices in the array.

  • Buckets, keys
  • Elements, addresses
  • Linked lists, keys
  • Nodes, values
A hash table typically consists of an array of buckets and a hash function that maps keys to indices in the array. The array is divided into buckets, each capable of holding multiple key-value pairs. The hash function determines which bucket a key should go to.

Memoization is a technique used to _______ redundant computations in dynamic programming algorithms such as computing Fibonacci numbers.

  • Eliminate
  • Introduce
  • Optimize
  • Track
Memoization is a technique used to eliminate redundant computations by storing and reusing previously computed results. In the context of dynamic programming algorithms like computing Fibonacci numbers, it helps optimize the overall computation.

How does a red-black tree ensure that it remains balanced after insertions and deletions?

  • By assigning different colors (red or black) to each node and enforcing specific rules during insertions and deletions.
  • By limiting the height of the tree to a constant value.
  • By randomly rearranging nodes in the tree.
  • By sorting nodes based on their values.
A red-black tree ensures balance by assigning colors (red or black) to each node and enforcing rules during insertions and deletions. These rules include properties like no consecutive red nodes and equal black height on every path, ensuring logarithmic height and balanced structure.

The ratio of successive Fibonacci numbers approaches the _______ as n increases.

  • Euler's number
  • Golden ratio
  • Pi
  • Square root of 2
As n increases, the ratio of successive Fibonacci numbers approaches the golden ratio (approximately 1.618). This unique property is a key aspect of the Fibonacci sequence's significance in various fields, including art, architecture, and nature.

To optimize the space complexity of merge sort, one can implement it iteratively using _______.

  • Heaps
  • Linked lists
  • Queues
  • Stacks
To optimize the space complexity of merge sort, one can implement it iteratively using stacks. This avoids the need for additional memory used in recursive function calls, optimizing space usage.