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
upsehu: 2021-05-30 12:36:22

make sure to check the output format

tejasreddyk: 2021-01-12 15:06:07

ngl, AC in one go!

adikrmishra_1: 2020-05-20 13:41:57

simple problem :) don't forget spaces between 3 card(s)

hritik_1105: 2020-05-09 08:48:22

Worst Problem statement ever!
It's a simple problem just calculate sum as a result of each step up to the point it will not become greater than the input 'c'.

lmalvi: 2019-07-05 19:50:29


blackfly19: 2019-06-18 10:42:12

2nd AC
No loop required!!

Nitin: 2019-06-04 21:30:27

I forgot to put card(s) in output and it took me 15 mins and a WA to realize that

albertark1589: 2019-05-13 23:14:53

Last edit: 2019-05-13 23:18:54
mgroovyank: 2019-04-19 10:06:23

Really easy. Don't forget printing "card(s)"

manyu2: 2019-03-29 12:46:55

easy AC in one go!!

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