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
Output
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
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();
}
}