#include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; // using mint = modint1000000007; template using vec = vector; template using pa = pair; template using mipq = priority_queue, greater>; #define REP(_1, _2, _3, _4, name, ...) name #define REP1(i, n) for (auto i = decay_t{}; (i) < (n); ++(i)) #define REP2(i, l, r) for (auto i = (l); (i) < (r); ++(i)) #define REP3(i, l, r, d) for (auto i = (l); (i) < (r); i += (d)) #define rep(...) REP(__VA_ARGS__, REP3, REP2, REP1)(__VA_ARGS__) #define rrep(i, r, l) for (int i = (r); i >= (l); --i) template bool chmax(T &a, const T &b) { return (a < b ? a = b, true : false); } template bool chmin(T &a, const T &b) { return (a > b ? a = b, true : false); } constexpr int INF = 1 << 30; constexpr ll LINF = 1LL << 60; constexpr int mov[4][2] = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}}; void solve(); int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); int T = 1; cin >> T; while (T--) solve(); } // 1個食べて、 // - okだったらぜんぶ食べて次へ // - ngと同じだったら他ぜんぶ食べれる // - ngだったら死 void solve() { int N, M, K; cin >> N >> M >> K; auto calc = [&] (this auto self, int n, int k) -> double { if (k <= 0) return 1; if (n == 0) return 0; double res = 0; res += (double)(n - 1) / n * self(n - 1, k - M); res += (double)1 / n * (M - 1) / M; return res; }; cout << calc(N, K) << '\n'; }