#!/usr/bin/env python # coding: utf-8 # This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges). # # Challenge Notebook # ## Problem: Given a knapsack with a total weight capacity and a list of items with weight w(i) and value v(i), determine the max total value you can carry. # # * [Constraints](#Constraints) # * [Test Cases](#Test-Cases) # * [Algorithm](#Algorithm) # * [Code](#Code) # * [Unit Test](#Unit-Test) # * [Solution Notebook](#Solution-Notebook) # ## Constraints # # * Can we replace the items once they are placed in the knapsack? # * Yes, this is the unbounded knapsack problem # * Can we split an item? # * No # * Can we get an input item with weight of 0 or value of 0? # * No # * Do we need to return the items that make up the max total value? # * No, just the total value # * Can we assume the inputs are valid? # * No # * Are the inputs in sorted order by val/weight? # * Yes # * Can we assume this fits memory? # * Yes # ## Test Cases # # * items or total weight is None -> Exception # * items or total weight is 0 -> 0 # * General case # #
# total_weight = 8
# items
#   v | w
#   0 | 0
# a 1 | 1
# b 3 | 2
# c 7 | 4
# 
# max value = 14 
# 
# ## Algorithm # # Refer to the [Solution Notebook](). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start. # ## Code # In[ ]: class Item(object): def __init__(self, label, value, weight): self.label = label self.value = value self.weight = weight def __repr__(self): return self.label + ' v:' + str(self.value) + ' w:' + str(self.weight) # In[ ]: class Knapsack(object): def fill_knapsack(self, input_items, total_weight): # TODO: Implement me pass # ## Unit Test # **The following unit test is expected to fail until you solve the challenge.** # In[ ]: # %load test_knapsack_unbounded.py import unittest class TestKnapsack(unittest.TestCase): def test_knapsack(self): knapsack = Knapsack() self.assertRaises(TypeError, knapsack.fill_knapsack, None, None) self.assertEqual(knapsack.fill_knapsack(0, 0), 0) items = [] items.append(Item(label='a', value=1, weight=1)) items.append(Item(label='b', value=3, weight=2)) items.append(Item(label='c', value=7, weight=4)) total_weight = 8 expected_value = 14 results = knapsack.fill_knapsack(items, total_weight) total_weight = 7 expected_value = 11 results = knapsack.fill_knapsack(items, total_weight) self.assertEqual(results, expected_value) print('Success: test_knapsack') def main(): test = TestKnapsack() test.test_knapsack() if __name__ == '__main__': main() # ## Solution Notebook # # Review the [Solution Notebook]() for a discussion on algorithms and code solutions.