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In the context of dynamic programming, what does 'optimal substructure' mean?

Practice Questions

Q1
In the context of dynamic programming, what does 'optimal substructure' mean?
  1. The solution can be constructed from optimal solutions of its subproblems
  2. The problem can be solved in linear time
  3. The problem has a unique solution
  4. The problem can be solved using a greedy approach

Questions & Step-by-Step Solutions

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