DSA + System Design - 18

Which of the following is NOT a characteristic of dynamic programming?

• Optimal Substructure

• Overlapping Subproblems

• Greedy Choice Property

• Memoization

In dynamic programming, what does the term "optimal substructure" refer to?

• The property where the solution to a problem can be constructed efficiently from solutions to smaller subproblems

• The process of storing solutions to subproblems in a table

• The ability to solve problems by making locally optimal choices

• The technique of solving problems by dividing them into smaller subproblems

Which dynamic programming technique is based on solving problems by storing the results of expensive function calls and reusing them when the same inputs occur again?

• Memoization

• Tabulation

• Tabulation with O(1) space

• Recursion

What is the space complexity of the Tabulation (with variables) approach to solving dynamic programming problems?

• O(n)

• O(n log n)

• O(n^2)

• O(1)

What is the time complexity of this function?

• O(1)

• O(n)

• O(2^n)

• O(n^2)

Which dynamic programming approach is used in the following iterative function to calculate the nth Fibonacci number?

• Memoization

• Tabulation

• Recursion

• Greedy

What is the primary advantage of using dynamic programming (DP) over a naive recursive approach ?

• DP guarantees the shortest path solution.

• DP avoids redundant calculations by storing intermediate results.

• DP requires less memory space

• DP always results in faster runtime

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Which of these characteristics is crucial for a problem to be solved using dynamic programming effectively?

• The problem must involve a fixed set of subproblems

• The problem must have a direct greedy solution

• The problem must be able to break down into smaller overlapping subproblems

• The problem must require sorting of elements

Which Pattens of problems are suitable for DP technique?

• Substring Matching , like Longest palindromic substring

• Sequence Problems, like findinf fibonacci ot LCS

• Optimization Problems, like knapsack, MCM

• Counting the number of ways or making decisions based on specific criteria, like coin change problem