BOMARBLE - D - Playing with Marbles

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PROBLEM D

 PLAYING WITH MARBLES

Pablo was assigned in his class to construct pentagons inside pentagons with marbles but he doesn’t know how many marbles he will need. He knows that for one pentagon he needs 5 marbles

Imagen2

The only way he knows to insert a second pentagon is putting a marble in the middle of each segment and drawing three lines as shown. He puts a marble in the intersecting lines and removes them. To insert a third pentagon inside he first divides all segments in two including the ones that are not needed, and repeats the procedure. Drawing a second pentagon will require 12 marbles. A third pentagon will require 22 marbles. Given the information of how many pentagons will be created, write a program to calculate the number of marbles needed.

Input

The input contains several test cases. Each test case contains one integer N indicating the number of pentagons to create (1<=N<=103). The end of input is indicated by a line containing only one zero.

Output

For each test case in the input, your program must print a single line, containing one single integer, the number of marbles required. 

Sample Input
1
2
3
0

Sample Output
5
12
22

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nilabja16180: 2017-03-20 08:17:25

Easy!

mayank_soni055: 2017-01-18 16:32:04

beginner prblm... jst a formula

surajmall: 2016-10-03 21:38:48

easy one beginner should try it ...

rishabhjain996: 2016-06-29 14:11:50

easy formula :)

nonushikhar: 2016-06-13 13:45:21

ppl are using dp XP its simple formulae

vinu0103: 2016-04-19 13:50:19

nice problem for beginners

pvsmpraveen: 2016-03-26 19:15:56

Solved Using Dp :)

shubham_174: 2015-09-16 21:19:29

Hell Easy ^_^

gullu_mishra: 2015-09-06 00:34:55

AC in one go :-) take few minutes and find the pattern... it will b super easy problem.. njoyed while making recurense..

Sunil Kumar Samal: 2015-07-14 10:02:03

Try to solve it using recursion .


Added by:Alvaro Javier Medina Balboa
Date:2010-05-25
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:C C++ 4.3.2 CPP JAVA