Given array A of size n we have to create an array B by re-arranging array A. Now we need to maximize the sum $$$|A_i - B_i|$$$. I think sorting A in increasing and B in decreasing order then adding corresponding element will result in optimal solution. Is this correct or there can be a better algorithm for this problem. Thanks in advance.
Пожалуйста, прочтите новое правило об ограничении использования AI-инструментов.
→ Обратите внимание
→ Лидеры (рейтинг)
| № | Пользователь | Рейтинг |
|---|---|---|
| 1 | tourist | 4009 |
| 2 | jiangly | 3773 |
| 3 | Radewoosh | 3646 |
| 4 | ecnerwala | 3624 |
| 5 | jqdai0815 | 3620 |
| 5 | Benq | 3620 |
| 7 | orzdevinwang | 3612 |
| 8 | Geothermal | 3569 |
| 8 | cnnfls_csy | 3569 |
| 10 | Um_nik | 3396 |
| Страны | Города | Организации | Всё → |
→ Лидеры (вклад)
| № | Пользователь | Вклад |
|---|---|---|
| 1 | Um_nik | 164 |
| 2 | cry | 160 |
| 2 | maomao90 | 160 |
| 4 | -is-this-fft- | 159 |
| 5 | atcoder_official | 158 |
| 5 | awoo | 158 |
| 7 | adamant | 155 |
| 8 | nor | 154 |
| 9 | maroonrk | 152 |
| 10 | Dominater069 | 149 |
→ Найти пользователя
→ Прямой эфир
Codeforces (c) Copyright 2010-2024 Михаил Мирзаянов
Соревнования по программированию 2.0
Время на сервере: 24.09.2024 00:26:44 (k2).
Десктопная версия, переключиться на мобильную.
При поддержке
yes, that's correct
There is a better algorythm in terms of complexity, since sorting is somewhat more than has to be done. We can also pair the elements by partitioning the array into two halfs, the upper one, and the lower one. And then pair any two elements from both halfs.
We can use nth_element() which works somewhat faster than sort().