Knapsack Problem

Knapsack Problem



This mission is dedicated to a famous and classical Knapsack Problem.

You are given a list of kinds of items items, that you want to put into knapsack. Item of each kind is a tuple of its value, weight and maximum amount (optional). You need to find a subset of items, such that:

  • the total value of the items in subset is as large as possible;
  • the total weight of items in subset is at most weight, that is capacity of the knapsack;
  • for each kind of items you can select at most given amount items. If its not given - there is no restriction for amount.

Input: Two arguments. Maximum weight as integer, items as list of tuples of two or three integers.

Output: Maximum value as integer.


assert knapsack(5, [(4, 2, 1), (5, 2, 1), (2, 1, 1), (8, 3, 1)]) == 13
assert knapsack(8, [(4, 2), (5, 2), (2, 1), (8, 3)]) == 21
assert knapsack(8, [(10, 10, 3)]) == 0
assert knapsack(8, [(4, 3, 2), (2, 1, 1), (1, 2, 4), (3, 2, 2)]) == 12
Invalid hot key. Each hot key should be unique and valid
Hot keys:
CheckiO Extensions

CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.

In order to install CheckiO client you'll need installed Python (version at least 3.8)

Install CheckiO Client first:

pip3 install checkio_client

Configure your tool

checkio --domain=py config --key=

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checkio sync

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checkio serv -d

Alternatevly, you can install Chrome extension or FF addon

checkio install-plugin
checkio install-plugin --ff
checkio install-plugin --chromium

Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.

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