#include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector &vec, int len) { vec.resize(len); } template void ndarray(vector &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template void ndfill(V &x, const T &val) { x = val; } template void ndfill(vector &vec, const T &val) { for (auto &v : vec) ndfill(v, val); } template bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template vector srtunq(vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template istream &operator>>(istream &is, vector &vec) { for (auto &v : vec) is >> v; return is; } template ostream &operator<<(ostream &os, const vector &vec) { os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const deque &vec) { os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const set &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const pair &pa) { os << "(" << pa.first << "," << pa.second << ")"; return os; } template ostream &operator<<(ostream &os, const map &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; // lowest common ancestor (LCA) class for undirected weighted tree // 無向重み付きグラフの最小共通祖先 // struct UndirectedWeightedTree { using T = long long int; // Arbitrary data structure (operator+, operator- must be defined) int INVALID = -1; int V, lgV; int E; int root; vector>> adj; // (nxt_vertex, edge_id) // vector edge; // edges[edge_id] = (vertex_id, vertex_id) vector weight; // w[edge_id] vector par; // parent_vertex_id[vertex_id] vector depth; // depth_from_root[vertex_id] vector acc_weight; // w_sum_from_root[vertex_id] vector stsz; void _fix_root_dfs(int now, int prv, int prv_edge_id) { par[now] = prv; if (prv_edge_id != INVALID) acc_weight[now] = acc_weight[prv] + weight[prv_edge_id]; for (auto nxt : adj[now]) if (nxt.first != prv) { depth[nxt.first] = depth[now] + 1; _fix_root_dfs(nxt.first, now, nxt.second); stsz[now] += stsz[nxt.first]; } } UndirectedWeightedTree() = default; UndirectedWeightedTree(int N) : V(N), E(0), adj(N) { lgV = 1; while (1 << lgV < V) lgV++; } void add_edge(int u, int v, T w) { adj[u].emplace_back(v, E); adj[v].emplace_back(u, E); // edge.emplace_back(u, v); weight.emplace_back(w); E++; } void fix_root(int r) { root = r; par.resize(V); depth.resize(V); depth[r] = 0; acc_weight.resize(V); acc_weight[r] = 0; stsz.assign(V, 1); _fix_root_dfs(root, INVALID, INVALID); } vector> doubling; void doubling_precalc() { doubling.assign(lgV, vector(V)); doubling[0] = par; for (int d = 0; d < lgV - 1; d++) for (int i = 0; i < V; i++) { if (doubling[d][i] == INVALID) doubling[d + 1][i] = INVALID; else doubling[d + 1][i] = doubling[d][doubling[d][i]]; } } int kth_parent(int x, int k) { if (depth[x] < k) return INVALID; for (int d = 0; d < lgV; d++) { if (x == INVALID) return INVALID; if (k & (1 << d)) x = doubling[d][x]; } return x; } int lowest_common_ancestor(int u, int v) { if (depth[u] > depth[v]) swap(u, v); v = kth_parent(v, depth[v] - depth[u]); if (u == v) return u; for (int d = lgV - 1; d >= 0; d--) { if (doubling[d][u] != doubling[d][v]) u = doubling[d][u], v = doubling[d][v]; } return par[u]; } T path_length(int u, int v) { // Not distance, but the sum of weights int r = lowest_common_ancestor(u, v); return (acc_weight[u] - acc_weight[r]) + (acc_weight[v] - acc_weight[r]); } }; int main() { int N; cin >> N; UndirectedWeightedTree tree(N); REP(_, N - 1) { int u, v; cin >> u >> v; u--, v--; tree.add_edge(u, v, 1); } tree.fix_root(0); REP(i, N) { lint ret = 1LL * tree.stsz[i] * tree.stsz[i]; for (auto [j, _] : tree.adj[i]) { if (tree.depth[j] > tree.depth[i]) { ret -= 1LL * tree.stsz[j] * tree.stsz[j]; } } cout << ret << '\n'; } }