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| CEN303_2016Questions |  | Start: Oct.28.2016 at 05:00:00 PM Finish: Nov.01.2016 at 05:00:00 AM
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 | Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb. Автор: Михаил Копачев, РГАТА.
 
 
 Phalanx-2There 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.
 
 
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