Knapsack Problem

The goal is to maximize the value stored in the knapsack without going over the weight limit. The “0/1” part means that you can only take entire items.

It can be solved using Greedy Algorithms though it’s not the optimal solution for it. it solves by iteratively adding value-to-weight ratio to the knapsack until the knapsack is full or no more items can be added.

Here is a step-by-step description of the Greedy Algorithms for the knapsack problem:

1. Sort the items in decreasing order of value-to-weight ratio.
2. Iterate over the items in sorted order.
3. If the item can fit into the knapsack, add it to the knapsack.
4. If the item cannot fit into the knapsack, skip it.
5. Repeat steps 3 and 4 until the knapsack is full or no more items can be added.