Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 134817 | Accepted: 65542 |
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
#include<cstdio> #include<cstring> #include<iostream> #include<algorithm> using namespace std; long double s,num; int main(){ while(1){ s=0;cin>>num;if(num==0) break; for(int i=2;i;i++){ s+=1.0/(i*1.0); if(s>num){ cout<<i-1<<" card(s)"<<endl; break; } } } }