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
mineel_eppa:
2022-07-12 20:56:50
AC after 2hrs brainstorming . you NOOBS ............
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cse_190310106:
2021-12-02 17:23:14
easy Cooler ;) |
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upsehu:
2021-05-30 12:36:22
make sure to check the output format
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tejasreddyk:
2021-01-12 15:06:07
ngl, AC in one go! |
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adikrmishra_1:
2020-05-20 13:41:57
simple problem :) don't forget spaces between 3 card(s)
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hritik_1105:
2020-05-09 08:48:22
Worst Problem statement ever!
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blackfly19:
2019-06-18 10:42:12
2nd AC
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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 |
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albertark1589:
2019-05-13 23:14:53
Last edit: 2019-05-13 23:18:54 |
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mgroovyank:
2019-04-19 10:06:23
Really easy. Don't forget printing "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 |