OJ-Problems-Source/HDOJ/2947_autoAC.cpp
2016-08-24 18:27:13 +08:00

50 lines
1.0 KiB
C++

#include <iostream>
using namespace std;
__int64 p[21][21];
__int64 gcd(__int64 a, __int64 b)
{
return b ? gcd(b, a % b) : a;
}
void init()
{
int i, j;
for (i = 0; i <= 20; ++i)
{
p[i][0] = 1;
p[i][i] = 0;
}
for (i = 2; i <= 20; ++i)
for (j = 1; j < i; ++j)
p[i][j] = p[i - 1][j] + p[i - 1][j - 1] * (i - 1);
}
void solve(int s, int n)
{
__int64 sum = 0, total = 0 , g;
int i;
for (i = 0; i < s; ++i)
sum += p[n][i];
total = sum;
for ( ; i < n; ++i)
total += p[n][i];
g = gcd(sum, total);
sum /= g;
total /= g;
if (total == 1 && sum == 1)
printf("1\n");
else if (sum == 0)
printf("0\n");
else printf("%I64d/%I64d\n", sum, total);
}
int main()
{
init();
int tcase, w, h, n, s;
scanf("%d", &tcase);
while (tcase--)
{
scanf("%d%d%d", &w, &h, &s);
solve(s, w * h);
}
return 0;
}