Which of the following problems is equivalent to the 0-1 Knapsack problem?
A. You are given a bag that can carry a maximum weight of W. You are given N items which have a weight of {w1, w2, w3,...., wn} and a value of {v1, v2, v3,...., vn}. You can break the items into smaller pieces. Choose the items in such a way that you get the maximum value
B. You are studying for an exam and you have to study N questions. The questions take {t1, t2, t3,...., tn} time(in hours) and carry {m1, m2, m3,...., mn} marks. You can study for a maximum of T hours. You can either study a question or leave it. Choose the questions in such a way that your score is maximized
C. You are given infinite coins of denominations {v1, v2, v3,....., vn} and a sum S. You have to find the minimum number of coins required to get the sum S
D. You are given a suitcase that can carry a maximum weight of 15kg. You are given 4 items which have a weight of {10, 20, 15,40} and a value of {1, 2, 3,4}. You can break the items into smaller pieces. Choose the items in such a way that you get the maximum value
Answer: Option B
This Question Belongs to Data Structure >> Dynamic Programming In Data Structures
What is the main principle behind Dynamic Programming (DP)?
A. Recursion with memoization.
B. Greedy approach.
C. Divide and conquer.
D. Overlapping subproblems and optimal substructure.
Which of the following problems can be solved using Dynamic Programming?
A. Binary Search
B. Depth-First Search
C. Longest Common Subsequence
D. Quick Sort
What is the key advantage of using Dynamic Programming over plain recursion?
A. It makes the code simpler.
B. It reduces the time complexity by storing results of subproblems.
C. It uses more memory.
D. It makes the code simpler.
In the context of Dynamic Programming, what does the term "memoization" refer to?
A. Using a stack to manage function calls.
B. A method for dividing problems.
C. Storing intermediate results to avoid redundant calculations.
D. A technique to speed up sorting.
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