Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 76928 | Accepted: 36660 |
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
題目鏈接http://poj.org/problem?id=1003
#include<iostream>
using namespace std;
int main()
{
float a,i;
while(cin>>a&&a!=0)
{
float sum=0;
while(1)
{
for(i=1;;i++)
{
sum+=1/(i+1);
{
if(sum>=a)
goto end;
}
}
}
end:;
cout<<i<<" card(s)"<<endl;
}
return 0;
}