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
kalyanchirla: 2018-06-22 15:17:15

Really Easy..

Just use float wherever necessary .. and while loops

AC in one go

kkislay20: 2018-03-08 12:44:44

Really easy...dont think much...
ps: AC in one go

bradyawn: 2018-01-22 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: 2018-01-06 20:56:22

Use float for all variables otherwise it will give TLE.

vkash: 2017-12-31 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: 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


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