How to classify a problem as a Dynamic Programming Problem?

  • Typically, all the problems that require maximizing or minimizing certain quantities or counting problems that say to count the arrangements under certain conditions or certain probability problems can be solved by using Dynamic Programming.
  • All dynamic programming problems satisfy the overlapping subproblems property and most of the classic Dynamic  programming problems also satisfy the optimal substructure property. Once we observe these properties in a given problem be sure that it can be solved using Dynamic Programming.

Steps for how to solve a Dynamic Programming Problem

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Steps to solve a Dynamic programming problem:

Identify if it is a Dynamic programming problem. Decide a state expression with the Least parameters. Formulate state and transition relationship. Apply tabulation or memorization....

Step 1: How to classify a problem as a Dynamic Programming Problem?

Typically, all the problems that require maximizing or minimizing certain quantities or counting problems that say to count the arrangements under certain conditions or certain probability problems can be solved by using Dynamic Programming. All dynamic programming problems satisfy the overlapping subproblems property and most of the classic Dynamic  programming problems also satisfy the optimal substructure property. Once we observe these properties in a given problem be sure that it can be solved using Dynamic Programming....

Step 2: Deciding the state

Dynamic Programming problems are all about the state and its transition. This is the most basic step which must be done very carefully because the state transition depends on the choice of state definition you make....

Step 3: Formulating a relation among the states

This part is the hardest part of solving a Dynamic Programming problem and requires a lot of intuition, observation, and practice....

Step 4: Adding memoization or tabulation for the state

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