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
2019-03-29 12:46:55
easy AC in one go!!
2019-03-17 12:41:08
ac in 10
2019-03-14 23:30:43
Wohoo! my 50th
2019-02-06 20:56:05
Very Easy, AC in one go!!
2019-01-24 09:38:10
Can someone resolve TLE in java. I've declared all variables as float still it is giving TLE
2019-01-07 11:50:59
NO MATHS ,NO FORMULA
JUST LOOP
2019-01-06 15:14:44
very easy
AC in one go
2018-10-22 15:47:38
AC in one go
Easy
2018-10-17 07:51:31
Just BruteForce
Nothing to think
2018-06-22 15:17:15
Really Easy..

Just use float wherever necessary .. and while loops

AC in one go
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