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In dynamic programming, what is the purpose of the 'state'?

Practice Questions

Q1
In dynamic programming, what is the purpose of the 'state'?
  1. To represent the final solution
  2. To store the results of subproblems
  3. To define the problem constraints
  4. To track the number of iterations

Questions & Step-by-Step Solutions

In dynamic programming, what is the purpose of the 'state'?
  • Step 1: Understand that dynamic programming is a method used to solve complex problems by breaking them down into simpler subproblems.
  • Step 2: Recognize that each subproblem has a result that can be stored for future use.
  • Step 3: The 'state' in dynamic programming refers to these stored results of the subproblems.
  • Step 4: By using the 'state', we can avoid recalculating the same subproblem multiple times, making the solution more efficient.
  • Step 5: Ultimately, the 'state' helps us combine the results of subproblems to find the solution to the overall problem.
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