Dynamic Programming - Typical Problems for Exam Prep

Dynamic Programming - Typical Problems - Typical Problems - Case Studies

Q. In the Longest Common Subsequence problem, what is the time complexity of the dynamic programming solution?

A. O(m + n)
B. O(m * n)
C. O(m^2 + n^2)
D. O(m^2 * n^2)

Solution

The time complexity of the dynamic programming solution for the Longest Common Subsequence problem is O(m * n), where m and n are the lengths of the two sequences.

Correct Answer: B — O(m * n)

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Q. Which dynamic programming approach is used to solve the Coin Change problem?

A. Top-down
B. Bottom-up
C. Greedy
D. Brute force

Solution

The Coin Change problem can be solved using a bottom-up dynamic programming approach, where solutions to smaller subproblems are built up to solve larger problems.

Correct Answer: B — Bottom-up

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Dynamic Programming - Typical Problems - Typical Problems - Case Studies

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