poj 1003 Hangover
Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 129327 | Accepted: 62956 |
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.
![](http://poj.org/images/1003/hangover.jpg)
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> #include <cstdio> using namespace std; int main() { int cnt = 1; float length; while(cin >> length && (length != 0.00)) { cnt = 0; float sum = 0; while (sum < length) { cnt++; sum += float(1.0/(cnt + 1)); } cout << cnt << " card(s)" << endl; } //system("pause"); }