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)
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Programmer:
2015-05-28 21:39:24
Too easy |
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Akshat Mathur:
2015-05-25 23:02:05
50th :-) |
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SangKuan:
2015-05-20 14:51:19
my 50th.easy...... |
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hareesh:
2015-04-20 07:42:27
AC on first go :)
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ediston:
2015-03-28 23:33:55
Omg why do we have to add card(s) at the end?? :/ |
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Apeksha:
2015-03-26 14:55:32
Yay ! Solved (AC) in first go ! :) |
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epimenides:
2015-03-10 15:37:25
3 WA because I didn't see the output format. arrg!! |
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Abhishek Naik:
2015-03-09 06:25:49
I have already got my solution accepted, but I have a doubt. Why is the upper limit given to be 5.20 ('at most 5.20' the text says)? My code works fine for values above 5.20 also. So, why this upper limit? |
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ruler:
2015-02-28 06:00:17
Sourabh, I think that u r loosing some values when u r multiplying each fraction with 100. Like in case of 1/3*100 = 33.33 converted to 33(integer), u will loose 0.33 and so on u'll loose many values further which would most probably cause an inaccurate answer. |
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Saurabh Gupta:
2015-02-25 23:38:30
Need a help here:-
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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 |