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)

hide comments
ahayas485: 2017-12-16 17:59:17

what's the answer for 1.45 ? is it 5 or 6 cards?

messiha: 2017-12-15 21:14:26

Don't forget to add the extra crap after every case in the output

sgarg367: 2017-12-05 14:01:23

how to limit the input to 3 digits ?

enjoybruh: 2017-12-04 14:56:18

On first got TLE but AC on 2nd go.... Very simple problem ...

moder_gabbar07: 2017-10-10 18:16:06

My first AC in one go.
19th AC

techventer_936: 2017-07-03 12:18:44

Simple :)

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.


Added by:Wanderley Guimarăes
Date:2006-06-09
Time limit:0.213s
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