What is the primary use of the 'dp' array in dynamic programming?

Practice Questions

Q1
What is the primary use of the 'dp' array in dynamic programming?
  1. To store input values
  2. To keep track of visited nodes
  3. To store solutions to subproblems
  4. To sort elements

Questions & Step-by-Step Solutions

What is the primary use of the 'dp' array in dynamic programming?
  • 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 many problems can be solved more efficiently if we remember the solutions to these subproblems instead of recalculating them.
  • Step 3: The 'dp' array is a data structure (like a list or an array) that stores the results of these subproblems.
  • Step 4: When we need the solution to a subproblem, we first check the 'dp' array to see if we have already calculated it.
  • Step 5: If the solution is in the 'dp' array, we use it directly, which saves time and effort.
  • Step 6: If the solution is not in the 'dp' array, we calculate it, store it in the 'dp' array, and then use it.
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