0/1 Knapsack problem | Dynamic Programming
WilliamFiset・2 minutes read
The zero-one knapsack problem in computer science involves selecting objects with values and weights to maximize the total value within a given weight capacity using dynamic programming. By creating a table to store values for different states, one can determine the best value for each capacity by including or excluding items, ultimately providing the optimal solution.
Insights
- The zero-one knapsack problem in computer science involves selecting objects with values and weights to maximize total value within a given weight capacity, solved through dynamic programming by creating a table of values for different states.
- Dynamic programming for the knapsack problem includes considering each item, calculating the best value for each capacity by including or excluding the item, and filling a table incrementally with blue arrows indicating optimal values, leading to the determination of the best achievable value and selected items.
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Recent questions
What is the knapsack problem?
A widely encountered computer science issue involving dynamic programming.
How is the knapsack problem solved?
By creating a table to store values for different states.
What is the role of dynamic programming in solving the knapsack problem?
Dynamic programming helps calculate the optimal value for each capacity.
How is the optimal value determined in the knapsack problem solution?
By considering each item and including or excluding it based on the best value.
How are the selected items determined in the knapsack problem solution?
By starting from the bottom right corner of the table and working backward.
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