In the 0/1 Knapsack problem, what does the dynamic programming table represent?
Practice Questions
Q1
In the 0/1 Knapsack problem, what does the dynamic programming table represent?
Maximum value for each weight limit
Minimum weight for each value
Total number of items
Total weight of items
Questions & Step-by-Step Solutions
In the 0/1 Knapsack problem, what does the dynamic programming table represent?
Step 1: Understand that the 0/1 Knapsack problem involves a set of items, each with a weight and a value.
Step 2: Recognize that you have a maximum weight limit (capacity) for the knapsack.
Step 3: The dynamic programming table is a grid where rows represent items and columns represent weight limits from 0 to the maximum capacity.
Step 4: Each cell in the table shows the maximum value you can achieve with the items considered so far and the given weight limit.
Step 5: The goal is to fill this table in such a way that you can find the best combination of items to maximize value without exceeding the weight limit.
