Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 129066 | Accepted: 62830 |
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
import java.util.*; public class POJ1003 { public static void main(String [] args) { Scanner in=new Scanner(System.in); while(in.hasNextFloat() ){ float sum=0; float i=2; float a=in.nextFloat() ; if(a==0) break; while(sum<a){ sum+= 1/i; i++; } System .out.printf("%d card(s)\n",(int)(i-2)) ; } } }