Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 102872 | Accepted: 50054 |
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)
#include <iostream>
using namespace std;
int main()
{
double a,b;
int num;//记录卡片的个数
while(cin>>a,a)
{
num=1;
b=1.0/2;//b记录当前卡片的长度
while(b<a)
{
num++;
b+=1.0/(1+num);
}
cout<<num<<" card(s)"<<endl;
}
return 0;
}