POJ 1003 Hangover 悬空

Hangover

Time Limit: 1000MS		Memory Limit: 10000K
Total Submissions: 101380		Accepted: 49289

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'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.

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

Mid-Central USA 2001

1003

Accepted

2976K

157MS

Java

549B

2014-08-16 14:45:13

import java.io.BufferedInputStream;
import java.util.Scanner;

public class Main {

	static String getNumOfCards(double hangover){
		int n = 2;
		double re = 0.5;
		while(re < hangover){
			re += 1.0/(++n);
		}
		return (n-1) + " card(s)";
	}
	public static void main(String[] args) {
		Scanner in = new Scanner(new BufferedInputStream(System.in));
		while(in.hasNext()){
			double hangover = Double.valueOf(in.nextLine());
			if (hangover == 0.0) break;
			System.out.println(getNumOfCards(hangover));
		}
		in.close();
	}
}