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In the 0/1 Knapsack problem, what does the '0/1' signify?

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Question: In the 0/1 Knapsack problem, what does the \'0/1\' signify?

Options:

  1. Items can be divided
  2. Items can be taken or left
  3. Items can be taken multiple times
  4. Items have no weight

Correct Answer: Items can be taken or left

Solution: 

The \'0/1\' in the 0/1 Knapsack problem signifies that each item can either be taken (1) or left (0), meaning items cannot be divided or taken multiple times.

In the 0/1 Knapsack problem, what does the '0/1' signify?

Practice Questions

Q1
In the 0/1 Knapsack problem, what does the '0/1' signify?
  1. Items can be divided
  2. Items can be taken or left
  3. Items can be taken multiple times
  4. Items have no weight

Questions & Step-by-Step Solutions

In the 0/1 Knapsack problem, what does the '0/1' signify?
  • Step 1: Understand that the 0/1 Knapsack problem involves a set of items, each with a weight and a value.
  • Step 2: The '0/1' indicates that for each item, you have two choices: either take the item (represented by 1) or do not take the item (represented by 0).
  • Step 3: This means you cannot take a fraction of an item or take the same item more than once.
  • Step 4: The goal is to maximize the total value of the items you can carry in the knapsack without exceeding its weight limit.
  • 0/1 Knapsack Problem – The problem involves selecting items with given weights and values to maximize total value without exceeding a weight limit, where each item can only be included or excluded in its entirety.
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