Which of the following best describes the principle of Dynamic Programming?
Finding the locally optimal solution at each step to reach a globally optimal solution.
Using probabilistic methods to approximate the solution to a problem.
Dividing a problem into smaller subproblems and solving each subproblem independently.
Solving a problem by storing and reusing solutions to overlapping subproblems.
What is the primary purpose of memoization in dynamic programming?
To define the relationship between the problem and its subproblems.
To reduce the need for recursion in the algorithm.
To optimize space complexity by storing only the most recent subproblem results.
To avoid redundant computations by storing and reusing previously calculated results.
Who is credited as the pioneer of dynamic programming?
Donald Knuth
Richard Bellman
Alan Turing
Edsger W. Dijkstra
Which data structure is commonly used to implement the tabulation table in a bottom-up dynamic programming solution?
A binary tree.
A stack.
A linked list.
An array or a matrix.
Dynamic programming is often used in optimizing which aspect of algorithms?
Time complexity
Space complexity
Data structure usage
Code readability
What is the role of a recurrence relation in dynamic programming?
It expresses the solution to a problem in terms of solutions to its smaller subproblems.
It calculates the time complexity of the dynamic programming algorithm.
It defines a non-recursive solution to the problem.
It determines the order in which subproblems should be solved.
Which characteristic of a problem suggests that dynamic programming might be a suitable approach?
The problem exhibits optimal substructure, where the optimal solution can be constructed from optimal solutions to subproblems
The problem can be broken down into smaller, independent subproblems
The problem involves traversing a tree data structure
The problem requires processing data in sorted order
Which of the following terms is NOT directly related to dynamic programming?
Optimal substructure
Memoization
Divide and conquer
Tabulation
Which of the following is a real-world application of dynamic programming?
Sorting a list of customer names.
Sending an email.
Displaying a webpage in a web browser.
Finding the optimal strategy for playing a game of chess.
What does a recurrence relation in dynamic programming represent?
A technique for storing and retrieving previously computed results.
The final solution to the overall problem.
A formula for breaking down the problem into smaller, self-similar subproblems.
The base case of the recursive algorithm.