Expect the Expected UVA11427

#include 
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#include 

using std::priority_queue;
using std::vector;
using std::swap;
using std::stack;
using std::sort;
using std::max;
using std::min;
using std::pair;
using std::map;
using std::string;
using std::cin;
using std::cout;
using std::set;
using std::queue;
using std::string;
using std::istringstream;
using std::make_pair;
using std::greater;
using std::endl;

const int MAXN(105);

double table[MAXN][MAXN];

bool not_greater(int fz1, int fm1, int fz2, int fm2)
{
	return fz1*fm2 <= fz2*fm1;
}

int main()
{
	int T, n_case(0);
	scanf("%d", &T);
	while(T--)
	{
		int fz, fm, n;
		scanf("%d/%d%d", &fz, &fm, &n);
		double prob = (double)fz/fm;
		memset(table, 0, sizeof(table));
		table[0][0] = 1.0;
		int i, j;
		for(i = 1; i <= n; ++i)
			for(j = 0; not_greater(j, i, fz, fm); ++j)
			{
				table[i][j] = table[i-1][j]*(1-prob);
				if(j)
					 table[i][j] += table[i-1][j-1]*prob;
			}
		double ans = 0;
		for(i = 0; not_greater(i, n, fz, fm); ++i)
			ans += table[n][i];
		printf("Case #%d: %d\n", ++n_case, (int)floor(1/ans));
	}
	return 0;
}

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