翻译、、、

OpenJudge - 1003:Hangover

1003:Hangover

描述

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.

输入

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.

输出

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.

1003：悬挂起来

你能把一堆纸牌悬在桌子上多远？如果你有一张牌，你可以创建一个最大长度为半张牌的悬垂。（我们假设卡片必须垂直于桌子。）有了两张牌，你可以让顶部的牌伸出底部的一半，底部的牌伸出桌子的三分之一，总的最大伸出量为1/2+1/3=5/6。一般来说，你可以让n张牌悬挂1/2+1/3+1/4+…+1/（n+1）卡片长度，其中顶部卡片伸出第二个1/2，第二个伸出第三个1/3，第三个伸出第四个1/4，以此类推，底部卡片伸出桌子1/（n+1）。下图对此进行了说明。
输入
输入由一个或多个测试用例组成，后跟一行数字0.00，表示输入结束。每个测试用例是一行，其中包含一个正浮点数c，其值至少为0.01，最多为5.20；c将正好包含三位数字。
输出
对于每个测试用例，输出至少达到c卡长度所需的最小卡数。使用示例中所示的精确输出格式。

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