POJ 1003
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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
1.003.710.045.190.00
Sample Output
3 card(s)61 card(s)1 card(s)273 card(s)
Source
Mid-Central USA 2001
#include <iostream>using namespace std;int main(){int i=1;float c;cin >> c;while (c != 0.00&&c >= 0.01&&c <= 5.20){for (float val = 0; c > val; i++){val += 1 / (i + 1.0);}cout << i - 1 << " card(s)" << endl;i = 1;cin >> c;}}
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