Optprob/Хранение артефактов на складе — различия между версиями

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Версия 08:28, 17 ноября 2022

Представим склад на котором надо хранить какие-то артефакты.

На складе есть m мест хранения, каждое из которых поддерживает определенный вес.

m
15

Максимальный вес для места:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
15 25 25 30 30 40 40 30 30 25 25 15 15 10 10

Между местами также есть расстояние, и есть (антипожарно-антимагическое) правило, что между любыми двумя занятыми местами хранения, должно быть не меньше 3х метров.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 0 10 2 1 1.5 2.5 3.5 4 5 5.5 6 6.5 7 7.7 7
2 0 0 1.5 2 1.5 3 4 5 2 3 2 3 4 5 5
3 0 0 0 1.5 4 1.5 1.5 4 2 2 2 2 5 3 2
4 0 0 0 0 2 4 4 1.5 4 2 2 1 1 1 1
5 0 0 0 0 0 3 4 2 1 2 2 2 2 3 2.5
6 0 0 0 0 0 0 3.5 2.5 1 2 1 4.6 1 2.7 4
7 0 0 0 0 0 0 0 1 2 1 2.6 1 2.7 1.5 1.5
8 0 0 0 0 0 0 0 0 1 1 3 4 6 3.5 2.5
9 0 0 0 0 0 0 0 0 0 1 2 1 2.6 1 2.7
10 0 0 0 0 0 0 0 0 0 0 1 2 1 1.5 2.5
11 0 0 0 0 0 0 0 0 0 0 0 1 3.4 3.5 2.7
12 0 0 0 0 0 0 0 0 0 0 0 0 4 2.5 1
13 0 0 0 0 0 0 0 0 0 0 0 0 0 2.5 2
14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3
15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Есть n=25 артефактов.

Вес артефактов:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
12 14 15 16 4 7 5 9 12 15 14 13 12 17 3 5 7 6 3 4 5 5 3 2 2


Некоторые артефакты совместимы — и их можно размещать в одном месте хранения, если суммарный вес не превышен. Некоторые нельзя — таблица совместимости (1=совместимы), представлена ниже.



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1
2 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0
3 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0
4 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0
5 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1
6 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0
7 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0
8 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1
9 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0
10 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1
12 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0
13 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1
15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0
16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0
17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0
18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0
21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0
22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1


Не факт, что вообще удастся разместить все артефакты (ну тогда лишние уедут на другие «Хранилища»), но цель — разместить максимум артефактов (в штуках).

Источник — «https://discopal.ispras.ru/index.php?title=Optprob/Хранение_артефактов_на_складе&oldid=21835»