#include #include #include #include using mint = atcoder::modint998244353; int ChoosePair(const int n) { return n * (n + 1) / 2; } // // 想定解 mint Solve(const std::vector>& tree) { const int n = tree.size(), denominator = ChoosePair(n); mint ans = 0; const auto CalcSubtree = [&tree, n, denominator, &ans]( auto CalcSubtree, const int parent, const int vertex) -> int { int subtree = 1, p_v = denominator; for (const int child : tree[vertex]) { if (child != parent) { const int subtree_child = CalcSubtree(CalcSubtree, vertex, child); subtree += subtree_child; p_v -= ChoosePair(subtree_child); // 2 番目のシグマ ans -= mint(denominator) / (denominator - subtree_child * (n - subtree_child)); } } if (parent != -1) p_v -= ChoosePair(n - subtree); ans += mint(denominator) / (denominator - p_v); // 1 番目のシグマ return subtree; }; assert(CalcSubtree(CalcSubtree, -1, 0) == n); return ans; } int main() { constexpr int kMaxT = 100000, kMaxN = 40000; int t; std::cin >> t; assert(1 <= t && t <= kMaxT); while (t--) { int n; std::cin >> n; assert(2 <= n && n <= kMaxN); std::vector> tree(n); for (int i = 0; i < n - 1; ++i) { int u, v; std::cin >> u >> v; assert(1 <= u && u <= n && 1 <= v && v <= n); --u; --v; tree[u].emplace_back(v); tree[v].emplace_back(u); } std::cout << Solve(tree).val() << '\n'; } return 0; }