Add knapsack problem.

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Oleksii Trekhleb
2018-04-27 17:31:04 +03:00
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# Knapsack Problem
The knapsack problem or rucksack problem is a problem in
combinatorial optimization: Given a set of items, each with
a weight and a value, determine the number of each item to
include in a collection so that the total weight is less
than or equal to a given limit and the total value is as
large as possible.
It derives its name from the problem faced by someone who is
constrained by a fixed-size knapsack and must fill it with the
most valuable items.
Example of a one-dimensional (constraint) knapsack problem:
which boxes should be chosen to maximize the amount of money
while still keeping the overall weight under or equal to 15 kg?
![knapsack problem](https://upload.wikimedia.org/wikipedia/commons/f/fd/Knapsack.svg)
## References
- [Wikipedia](https://en.wikipedia.org/wiki/Knapsack_problem)
- [YouTube](https://www.youtube.com/watch?v=8LusJS5-AGo)