Dynamic Programming Interview Problem

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Introduction to Dynamic Programming

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1. Recognize the beast DP problems have a distinct pattern. Look for keywords like "minimum/maximum" or "longest/shortest." Recognizing the problem is the first step toward solving it.

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2. Variables, Variables Everywhere Identify the variables in the problem. They could be anything from indices to the size of the input. Knowing the variables will help you write the recurrence relation.

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3. Express yourself Write a clear and concise recurrence relation. Use the variables you identified to express the problem in a mathematical equation.

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4. Base cases matter Identify the base cases. They are the simplest possible inputs to the problem. Having base cases helps you terminate the recursion.

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5. Iterate or Recurse? Decide whether to implement the problem iteratively or recursively. Iterative solutions are usually faster, but recursive solutions are easier to understand.

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6. Memoize to optimize Add memoization to your solution. Memoization stores the results of previous calculations & avoids redundant calculations. It's a great way to optimize DP solutions.

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7. Time is of the essence Determine the time complexity of your solution. It tells you how efficient your algorithm is. A good time complexity is O(n) or better.

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Look no further than InterviewBit. With level-by-level problems and easy-to-understand concepts, you'll be a Dynamic Programming pro in no time.

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