|
1 | 1 | from dataclasses import dataclass |
2 | 2 | from enum import Enum |
3 | 3 | from typing import List, Dict |
4 | | -from itertools import permutations |
| 4 | + |
| 5 | +from scipy.optimize import linear_sum_assignment |
| 6 | + |
5 | 7 |
|
6 | 8 |
|
7 | 9 | class OperatingSystem(Enum): |
@@ -33,28 +35,79 @@ def sadness(person: Person, laptop: Laptop) ->int: |
33 | 35 |
|
34 | 36 |
|
35 | 37 | def allocate_laptops(people: List[Person], laptops: List[Laptop]) -> Dict[Person, Laptop]: |
36 | | - |
37 | | - best_scenario_assignment = None |
38 | | - best_total_sadness = float("inf") |
39 | | - |
40 | | - for scenario in permutations(laptops): |
41 | | - total_sadness = 0 |
42 | | - |
43 | | - #find the sadness level for each scenario |
44 | | - for person, laptop in zip(people, scenario): |
45 | | - total_sadness += sadness(person, laptop) |
46 | | - |
47 | | - #Implement early break if total is already worse than best |
48 | | - if total_sadness >= best_total_sadness: |
49 | | - break |
50 | | - |
51 | | - # Check if this scenario is better |
52 | | - if total_sadness < best_total_sadness: |
53 | | - best_total_sadness = total_sadness |
54 | | - best_scenario_assignment = scenario |
55 | | - |
56 | | - |
57 | | - # Convert best_scenario_assignment into Dict[Person, Laptop] |
58 | | - return {person: laptop for person, laptop in zip(people, best_scenario_assignment)} |
59 | | - |
60 | | - |
| 38 | + |
| 39 | + if len(people) != len(laptops): |
| 40 | + raise ValueError("Number of individuals and laptops must be equal") |
| 41 | + |
| 42 | + cost_matrix = [ |
| 43 | + [sadness(person, laptop) for laptop in laptops] |
| 44 | + for person in people |
| 45 | + ] |
| 46 | + |
| 47 | + person_indices, laptop_indices = linear_sum_assignment(cost_matrix) |
| 48 | + |
| 49 | + return {people[p_idx]: laptops[l_idx] |
| 50 | + for p_idx, l_idx in zip(person_indices, laptop_indices) |
| 51 | + |
| 52 | + } |
| 53 | + |
| 54 | + |
| 55 | + |
| 56 | + |
| 57 | + |
| 58 | +if __name__ == "__main__": |
| 59 | + people = [ |
| 60 | + Person( |
| 61 | + name="Alice", |
| 62 | + age=30, |
| 63 | + preferred_operating_systems=[ |
| 64 | + OperatingSystem.MACOS, |
| 65 | + OperatingSystem.UBUNTU, |
| 66 | + ], |
| 67 | + ), |
| 68 | + Person( |
| 69 | + name="Bob", |
| 70 | + age=25, |
| 71 | + preferred_operating_systems=[ |
| 72 | + OperatingSystem.UBUNTU, |
| 73 | + OperatingSystem.MACOS, |
| 74 | + ], |
| 75 | + ), |
| 76 | + Person( |
| 77 | + name="Carol", |
| 78 | + age=28, |
| 79 | + preferred_operating_systems=[ |
| 80 | + OperatingSystem.ARCH, |
| 81 | + OperatingSystem.MACOS, |
| 82 | + ], |
| 83 | + ), |
| 84 | + ] |
| 85 | + |
| 86 | + laptops = [ |
| 87 | + Laptop( |
| 88 | + id=1, |
| 89 | + manufacturer="Apple", |
| 90 | + model="MacBook Air", |
| 91 | + screen_size_in_inches=13.3, |
| 92 | + operating_system=OperatingSystem.MACOS, |
| 93 | + ), |
| 94 | + Laptop( |
| 95 | + id=2, |
| 96 | + manufacturer="Dell", |
| 97 | + model="XPS", |
| 98 | + screen_size_in_inches=13.0, |
| 99 | + operating_system=OperatingSystem.UBUNTU, |
| 100 | + ), |
| 101 | + Laptop( |
| 102 | + id=3, |
| 103 | + manufacturer="Lenovo", |
| 104 | + model="ThinkPad", |
| 105 | + screen_size_in_inches=14.0, |
| 106 | + operating_system=OperatingSystem.ARCH, |
| 107 | + ), |
| 108 | + ] |
| 109 | + |
| 110 | + allocation = allocate_laptops(people, laptops) |
| 111 | + |
| 112 | + for person, laptop in allocation.items(): |
| 113 | + print(f"{person.name} → {laptop.model} ({laptop.operating_system.value})") |
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