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 floatingpoint 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
kalyanchirla:
20180622 15:17:15
Really Easy..


kkislay20:
20180308 12:44:44
Really easy...dont think much...


bradyawn:
20180122 23:26:06
For all those who are talking about using float, you only need float if you are doing it a slow way/with a slow language. 

prakash1108:
20180106 20:56:22
Use float for all variables otherwise it will give TLE. 

vkash:
20171231 12:12:54
don't think too much,just use two while loops,take every variable in float,AC in 1st submission after wasting 1 hour:: 

ahayas485:
20171216 17:59:17
what's the answer for 1.45 ? is it 5 or 6 cards? 

messiha:
20171215 21:14:26
Don't forget to add the extra crap after every case in the output 

sgarg367:
20171205 14:01:23
how to limit the input to 3 digits ?


enjoybruh:
20171204 14:56:18
On first got TLE but AC on 2nd go.... Very simple problem ... 

moder_gabbar07:
20171010 18:16:06
My first AC in one go.

Added by:  Wanderley GuimarÄƒes 
Date:  20060609 
Time limit:  0.213s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  ACM Mid Central Regionals 2001 