POJ 1003:Hangover
Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 109231 | Accepted: 53249 |
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)
代码:
#include <iostream> using namespace std; int main() { double x,sum=0; int n; cin>>x; for(;;) { if(!x) break; for(n=2;;n++) { if(sum>x) break; sum=sum+(double)1/n; } cout<<n-2<<" card(s)"<<endl; sum=0; cin>>x; } return 0; }
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