HANGOVER - Hangover

How far can you make a stack of cards overhang a table? If you have one card, you can create a maximum overhang of half a card length. (We're assuming that the cards must be perpendicular to the table.) With two cards you can make the top card overhang the bottom one by half a card length, and the bottom one overhang the table by a third of a card length, for a total maximum overhang of 1/2 + 1/3 = 5/6 card lengths. In general you can make n cards overhang by 1/2 + 1/3 + 1/4 + ... + 1/(n + 1) card lengths, where the top card overhangs the second by 1/2, the second overhangs tha third by 1/3, the third overhangs the fourth by 1/4, etc., and the bottom card overhangs the table by 1/(n + 1). This is illustrated in the figure below.

Input

The input consists of one or more test cases, followed by a line containing the number 0.00 that signals the end of the input. Each test case is a single line containing a positive floating-point number c whose value is at least 0.01 and at most 5.20; c will contain exactly three digits.

Output

For each test case, output the minimum number of cards necessary to achieve an overhang of at least c card lengths. Use the exact output format shown in the examples.

Input:
1.00
3.71
0.04
5.19
0.00

Output:
3 card(s)
61 card(s)
1 card(s)
273 card(s)

Added by:Wanderley Guimarăes
Date:2006-06-09
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:ACM Mid Central Regionals 2001

hide comments
2017-05-05 18:51:51
sometimes a while loop is enough to get AC .
PS: i am not talking about test cases :P
2017-04-03 18:39:01
AC in one go!!!
2017-03-27 17:12:31
hello me help
2017-03-05 06:30:27 sunny
Ac in 1 Go... Easy problem ..but worst problem statement .. problem statement has to be improved.
2017-02-28 22:39:10
Don't think too hard it's quite simple
2017-02-09 12:25:29
AC in one GO!!
2017-01-23 15:14:02
AC in one go!!!....just look at the formula and you are ready to go...:)
My 15th!!!!!!!

Last edit: 2017-01-23 15:14:32
2016-12-20 15:58:03
what is c (input)??
2016-12-19 11:40:02
this is my 15th...........!
2016-11-19 16:12:44 sri
125th question!!
simple when you get the logic!!!
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