#include #include using namespace std; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; #define FAST_IO \ ios::sync_with_stdio(false); \ cin.tie(0); const i64 INF = 1001001001001001001; using Modint = atcoder::static_modint<998244353>; vector> enumFIF(int n) { vector fif(2, vector(n + 1, Modint(0))); fif[0][0] = 1; for (auto i : views::iota(1, n + 1)) { fif[0][i] = fif[0][i - 1] * i; } fif[1][n] = fif[0][n].inv(); for (auto i = n; i > 0; i--) { fif[1][i - 1] = fif[1][i] * i; } return fif; } Modint comb(int n, int r, vector>& fif) { return fif[0][n] * fif[1][r] * fif[1][n - r]; } int main() { FAST_IO int T; cin >> T; while (T--) { i64 N, M; i64 K; cin >> N >> M >> K; // x * M >= K i64 x = (K + M - 1) / M; double ans = 0; if (x < N) { // N-1Cx-1/NCx * 1/M // / x /MN double y = 1.0 * x / N / M; ans = 1.0 - y; } else { i64 z = K - (N - 1) * M; // M-1Cx-1/MCx = x/M double y = 1.0 * z / M; ans = 1.0 - y; } cout << setprecision(15) << fixed << ans << endl; } }