POJ 1003 Hangover 悬空
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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
Output
Sample Input
1.003.710.045.190.00
Sample Output
3 card(s)61 card(s)1 card(s)273 card(s)
Source
2014-08-16 14:45:1
3
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();}}
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