# Hangover

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Beginner

Description

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 are 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 $${1\over2}+{1\over3}={5\over6}$$ card lengths. In general you can make n cards overhang by $${1\over2}+{1\over3}+{1\over4}+\dots+{1\over{n+1}}$$card lengths, where the top card overhangs the second by $${1\over2}$$, the second overhangs tha third by $${1\over3}$$, the third overhangs the fourth by $${1\over4}$$, etc., and the bottom card overhangs the table by $${1\over{n+1}}$$. 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.

Sample Input

1.00
3.71
0.04
5.19
0.00

Sample Output

3 card(s)
61 card(s)
1 card(s)
273 card(s)

Source

Editor

keefo on 2015-01-24 07:25:06