Podcast
Questions and Answers
What is the main difference between the Fractional Knapsack problem and the 0-1 Knapsack problem?
What is the main difference between the Fractional Knapsack problem and the 0-1 Knapsack problem?
- The Fractional Knapsack problem is used for optimization, while the 0-1 Knapsack problem is used for decision-making.
- The Fractional Knapsack problem is a greedy algorithm, while the 0-1 Knapsack problem is a dynamic programming algorithm.
- The Fractional Knapsack problem has a higher time complexity than the 0-1 Knapsack problem.
- In the Fractional Knapsack problem, items can be taken in fractional amounts, while in the 0-1 Knapsack problem, items can only be taken in full. (correct)
What is the time complexity of the greedy approach to solving the Fractional Knapsack problem?
What is the time complexity of the greedy approach to solving the Fractional Knapsack problem?
- O(2^n)
- O(n log n) (correct)
- O(n^2)
- O(n)
Which of the following statements about the Fractional Knapsack problem is not true?
Which of the following statements about the Fractional Knapsack problem is not true?
- The algorithm works by calculating the ratio of value to weight for each item and then adding the items with the highest ratios until the capacity is reached.
- The problem can be solved using a brute-force approach, but this would be too time-consuming.
- The greedy approach always gives the optimal solution.
- The problem can be solved using dynamic programming, but this would be less efficient than the greedy approach. (correct)
In the Fractional Knapsack problem, if the capacity of the knapsack is 50 and the items are A (weight: 10, value: 60), B (weight: 20, value: 100), and C (weight: 30, value: 120), what is the best case solution?
In the Fractional Knapsack problem, if the capacity of the knapsack is 50 and the items are A (weight: 10, value: 60), B (weight: 20, value: 100), and C (weight: 30, value: 120), what is the best case solution?
Which algorithm is typically used to solve the Fractional Knapsack problem?
Which algorithm is typically used to solve the Fractional Knapsack problem?
In the 0-1 Knapsack problem, which of the following is true?
In the 0-1 Knapsack problem, which of the following is true?
What is the key difference between 0-1 Knapsack and Fractional Knapsack problems?
What is the key difference between 0-1 Knapsack and Fractional Knapsack problems?
Which scenario would lead to an item being excluded in the 0-1 Knapsack problem?
Which scenario would lead to an item being excluded in the 0-1 Knapsack problem?
What does the term 'fractional' signify in Fractional Knapsack problem?
What does the term 'fractional' signify in Fractional Knapsack problem?
Which property distinguishes Dijkstra's algorithm from Greedy algorithms?
Which property distinguishes Dijkstra's algorithm from Greedy algorithms?
What characterizes an optimization problem?
What characterizes an optimization problem?
What is the main characteristic of a greedy algorithm?
What is the main characteristic of a greedy algorithm?
In the 0-1 Knapsack problem, what does the integer array 'val' represent?
In the 0-1 Knapsack problem, what does the integer array 'val' represent?
What is the key difference between the Fractional Knapsack problem and the 0-1 Knapsack problem?
What is the key difference between the Fractional Knapsack problem and the 0-1 Knapsack problem?
Which problem-solving technique makes choices based on immediate benefit without considering future consequences?
Which problem-solving technique makes choices based on immediate benefit without considering future consequences?
What does Dijkstra's algorithm primarily aim to solve?
What does Dijkstra's algorithm primarily aim to solve?
Why might a greedy algorithm not always produce the optimal solution?
Why might a greedy algorithm not always produce the optimal solution?
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