In dynamic programming, what is the 'optimal substructure' property?

Practice Questions

Q1
In dynamic programming, what is the 'optimal substructure' property?
  1. The optimal solution can be constructed from optimal solutions of its subproblems
  2. The problem can be solved in linear time
  3. The solution requires sorting the input data
  4. The problem can be solved using a greedy approach

Questions & Step-by-Step Solutions

In dynamic programming, what is the 'optimal substructure' property?
  • Step 1: Understand that some problems can be broken down into smaller parts called subproblems.
  • Step 2: Recognize that if you solve these smaller parts optimally, you can use those solutions to build the solution to the larger problem.
  • Step 3: Realize that the 'optimal substructure' property means the best solution for the whole problem is made up of the best solutions for the subproblems.
  • Step 4: Think of it like building a house: if each room (subproblem) is built perfectly, the whole house (main problem) will also be great.
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