#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include //#include //using namespace atcoder; using namespace std; using i32 = int_fast32_t; using i64 = int_fast64_t; using usize = size_t; using u32 = uint_fast32_t; using u64 = uint_fast64_t; using i128 = __int128_t; using u128 = __uint128_t; template using vec = vector; #define rep(i, n) for (i64 i = 0; i < (i64)(n); ++i) #define all(a) (a).begin(),(a).end() #define rall(a) (a).rbegin(),(a).rend() #define len(hoge) (i64)((hoge).size()) using P = pair; vec a,b; i64 binary_search(i64 &k, i64 &val){ i64 lb = 0,ub = len(b); while(ub - lb > 1){ i64 mid = (lb + ub) / 2; if(val * b[mid] <= k)lb = mid; else ub = mid; } return ub; } int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); i64 n,m,t; cin >> n >> m >> t; a.resize(n),b.resize(m); rep(i,n)cin >> a[i]; rep(i,m)cin >> b[i]; sort(all(a)),sort(all(b)); i64 ans = n * m; rep(i,n){ if(a[i] * b[0] > t)continue; i64 rec = binary_search(t,a[i]); ans -= rec; } cout << fixed << setprecision(10) << (long double)(ans * 1.0) / (long double)(1.0 * n * m) << endl; }