What is the optimal substructure property in dynamic programming?
Practice Questions
Q1
What is the optimal substructure property in dynamic programming?
The problem can be divided into smaller subproblems
The solution can be constructed from optimal solutions of its subproblems
The problem has overlapping subproblems
All of the above
Questions & Step-by-Step Solutions
What is the optimal substructure property in dynamic programming?
Step 1: Understand that dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems.
Step 2: Recognize that the optimal substructure property means that the best solution to a problem can be formed from the best solutions to its smaller parts (subproblems).
Step 3: Identify that if you can solve the smaller subproblems optimally, you can combine those solutions to get the optimal solution for the larger problem.
Step 4: Realize that this property allows us to save time and effort by reusing solutions to subproblems instead of solving them repeatedly.
