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.


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.


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.


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

hide comments
rohit9934: 2017-05-05 18:51:51

sometimes a while loop is enough to get AC .
PS: i am not talking about test cases :P

ruchir_mathur: 2017-04-03 18:39:01

AC in one go!!!

nomins: 2017-03-27 17:12:31

hello me help

sunny: 2017-03-05 06:30:27

Ac in 1 Go... Easy problem ..but worst problem statement .. problem statement has to be improved.

masterbios: 2017-02-28 22:39:10

Don't think too hard it's quite simple

nilabja16180: 2017-02-09 12:25:29

AC in one GO!!

ayushagg31: 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
dhruv19: 2016-12-20 15:58:03

what is c (input)??

srihari_v: 2016-12-19 11:40:02

this is my 15th...........!

sri: 2016-11-19 16:12:44

125th question!!
simple when you get the logic!!!

Added by:Wanderley Guimarăes
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