Aspire Faculty ID #17506 · Topic: UGC NET Computer Science August 2024 (Paper II) · Just now
UGC NET Computer Science August 2024 (Paper II)

Arrange the following steps in the correct order to solve the Knapsack problem using Dynamic Programming.

(A) Define the base case when the capacity is zero $(0)$ or no items are left to consider
(B) Compute the maximum value that can be obtained using items up to the $i$-th item and a knapsack capacity of $0$
(C) Identify subproblems and their dependencies based on items weights and values
(D) Initialize a table to store results of subproblems
(E) Iterate through each item and each possible capacity to fill the table

Choose the correct answer from the options given below :

Solution

Typical DP knapsack steps:

Identify subproblems → (C)

Initialize DP table → (D)

Define base cases → (A)

Fill table by iterating items and capacity → (E)

Compute optimal values → (B)

Order:

(C) → (D) → (A) → (E) → (B)

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