Hangover
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Time Limit: 1000MS |
Memory Limit: 10000K |
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Total Submissions: 106593 |
Accepted: 51987 |
Description
How far can you make a stack of cards overhang a table?
你能使卡片伸出桌子边多远？
If you have one card, you can create a maximum overhang of half a cardlength.
如果你有一张卡片，你最多能使卡片长度的一半伸出桌子。
(We're assuming that the cards must be perpendicular to the table.)
（我们假设卡片垂直于桌子）
With two cards you can make the top card overhang the bottom one by half acard length,
如果有两张卡片，你最多能使上面一张卡片的1/2超出下面一张卡片
and the bottom one overhang thetable by a third of a card length,
下面一张卡片的1/3伸出桌子
for a total maximum overhang of 1/2 + 1/3 = 5/6 cardlengths.
总共伸出桌子的长度是1/2 + 1/3 = 5/6个卡片长度
In general you can make n cards overhang by 1/2 + 1/3 + 1/4 + ... +1/(n + 1) cardlengths,
总之，你可以使n张卡片的1/2 + 1/3 + 1/4 + ... +1/(n + 1)长度伸出桌子
where the top card overhangs the second by 1/2,
最上一张卡片伸出1/2
the second overhangs tha third by 1/3,
第二张伸出1/3
the third overhangs the fourth by1/4, etc.,
第三张伸出1/4
and the bottom card overhangs the table by 1/(n + 1).
最下面一张伸出1/(n + 1)
This is illustrated in the figure below.
如下图所示
Input
The inputconsists of one or more test cases,
输入包含多组测试数据
followed by aline containing the number 0.00 that signals the end of the input.
0.00表示输入结束
Each test case is a single line containing apositive floating-point number c whose value is at least 0.01 and at most 5.20;
每组测试占一行，包含一个0.01到 5.20之间的小数c
c willcontain exactly three digits.
c恰好是一个三位数
Output
For each testcase, output the minimum number of cards necessary to achieve an overhang of atleast c card lengths.
对于每组测试，输出伸出长度c最少需要的卡片数量
Use the exact output format shown in theexamples.
用精确的数输出。
Sample Input
1.00
3.71
0.04
5.19
0.00
Sample Output
3card(s)
61card(s)
1card(s)
273card(s)
Source
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