ГлавнаяСборникиТурнирыРазделыФорумыУчастникиПечатьПомощьО системе

Сборники > Data Structures > задача:


2007.A. 51071 - Phalanx-2

Гость
• Вопросы к жюри (1)

Задачи сборника

• Post Office Delivery
• 50564 - Kovat e qumeshtit te mamase
• 50593 - Transportimi
• 50598 - Shuma minimale
• 50704 - Te lidhura?
• 50705 - Klubet e studenteve
• 50779 - Rruga me e shkurter ne lab...
• 180. 50776 - Numri i rrugeve te ndry...
• 2007.A. 51071 - Phalanx-2
• 50. 50718 - Elevator

Обратная связь

Если у вас есть предложения или пожелания по работе Contester, посетите форум сайта www.contester.ru.

Лимит времени 2000/4000/4000/4000 мс. Лимит памяти 65000/65000/65000/65000 Кб.
Автор: Михаил Копачев, РГАТА.

Phalanx-2

There are n castles upon the checkered nxn-sized board, every vertical line having one castle. Let a horizontal line having at least one castle be called a bat. The position on the board will be called a phalanx if:

• the castle standing at the leftmost vertical line, stands also in the lowest horizontal line (and beats it);
• there is no gap between any two castles that separates the castle from the next or previous
• selecting first left k castles we shall get a regular phalanx of the width k.

The drawings below show four positions, two of which - those on the left are phalanxes, and those on the right are not.

Position (c) is not a regular phalanx as the second (unbeaten) horizontal line separates the second and the third castles from the lower horizontal line (condition 2 of the above list is not satisfied).
Position (d) is not a regular phalanx: if we take two left castles, they will not form a regular phalanx (condition 3 of the above list is not satisfied).

Your task is to make a program that will use the specified number n to define the quantity of different arrangements for castles m, that will be phalanxes.
For example, when n=3, it is possible to have only m=5 phalanxes (e1)-(e5)

Input
The input contains the only number n.
Output
Output must contain the only number - the answer.
Limitations
0 < n ≤ 18

Input 1 Output 1
3
5
Input 2 Output 2
5
35

Для отправки решений необходимо выполнить вход.

www.contester.ru