LeetCode Pattern: 18 Tips & Strategies for Solving Dynamic Programming (DP) Problems (Including 10 Classic Problems & Solutions)

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Dynamic Programming (DP) is a powerful technique for solving optimization problems by breaking them down into overlapping subproblems.

I. TIPS & STRATEGIES FOR SOLVING DYNAMIC PROGRAMMING PROBLEMS:

1. Understand the Problem:

• Clearly understand the problem statement, constraints, and the optimization goal.

1.1. Indicators of Dynamic Programming Problems:

i. Optimal Substructure:

• The problem can be broken down into smaller, overlapping subproblems that can be solved independently.
• The optimal solution to the problem can be constructed from the optimal solutions of its subproblems.

ii. Overlapping Subproblems:

• The same subproblems are solved multiple times in the process of solving the overall problem.
• Repeated computation of the same subproblems can be avoided by using memoization or tabulation.

iii. Recursive Structure:

• The problem can be formulated in a recursive…