// #pragma GCC target ("avx") // #pragma GCC optimize("Ofast") // #pragma GCC optimize("unroll-loops") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include using namespace std; // #define int long long // #define endl '\n' #pragma region TEMPLATE /* TYPE */ typedef long long ll; typedef long double ld; typedef pair pii; typedef pair pll; typedef vector vpii; typedef vector vpll; typedef vector vi; typedef vector vl; typedef vector vst; typedef vector vb; typedef vector vld; typedef vector> vvi; template> using prique = priority_queue, Cmp>; template using prique_r = prique>; /* CONSTANT */ #define ln '\n' const int INF = 1 << 30; const ll INFF = 1LL << 60; const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const int MOD = 1e9 + 7; const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz"; const double EPS = 1e-9; const ld PI = 3.14159265358979323846264338327950288; const int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1, 0 }; const int dy[] = { 0, 1, 0, -1, -1, -1, 1, 1, 0 }; /* CONTAINER */ #define PB emplace_back #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(RALL(v)) #define LESS(x, val) (lower_bound(x.begin(), x.end(), val) - x.begin()) #define LEQ(x, val) (upper_bound(x.begin(), x.end(), val) - x.begin()) #define GREATER(x, val) (int)(x).size() - LEQ((x), (val)) #define GEQ(x, val) (int)(x).size() - LESS((x), (val)) #define UNIQUE(v) sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end()) template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>(a, make_v(ts...)); } template enable_if_t::value != 0> fill_v(U &u, const V... v) { u = U(v...); } template enable_if_t::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v(e, v...); } /* LOOP */ #define _overload3(_1, _2, _3, name, ...) name #define _REP(i, n) REPI(i, 0, n) #define REPI(i, a, b) for (ll i = (ll)a; i < (ll)b; ++i) #define REP(...) _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__) #define _RREP(i, n) RREPI(i, n, 0) #define RREPI(i, a, b) for (ll i = (ll)a; i >= (ll)b; --i) #define RREP(...) _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__) #define EACH(e, v) for (auto& e : v) #define PERM(v) sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v))) /* INPUT */ template void SSS(T& t) { cin >> t; } template void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); } #define SS(T, ...) T __VA_ARGS__; SSS(__VA_ARGS__); #define SV(T, v, n) vector v(n); for (auto& i : v) cin >> i; #define SVV(T, v, n, m) vector> v(n, vector(m)); for (auto& r : v) for (auto& i : r) cin >> i; /* OUTPUT */ // Yes / No inline int YES(bool x) { cout << (x ? "YES" : "NO") << endl; return 0; } inline int Yes(bool x) { cout << (x ? "Yes" : "No") << endl; return 0; } inline int yes(bool x) { cout << (x ? "yes" : "no") << endl; return 0; } inline int yES(bool x) { cout << (x ? "yES" : "nO") << endl; return 0; } inline int Yay(bool x) { cout << (x ? "Yay!" : ":(") << endl; return 0; } // PROTOTYPE DECLARATION template ostream &operator<<(ostream &os, const pair &j); template ostream &operator<<(ostream &os, const tuple &t); template::value, decltype(declval().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os, const C &c); template ostream &operator<<(ostream &os, const stack &j); template ostream &operator<<(ostream &os, const queue &j); template ostream &operator<<(ostream &os, const priority_queue &j); // IMPLEMENTATION template ostream &operator<<(ostream &os, const pair &j) { return os << '{' << j.first << ", " << j.second << '}'; } template enable_if_t PRINT_TUPLE(ostream &os, const tuple &t) {} template enable_if_t PRINT_TUPLE(ostream &os, const tuple &t) { os << get(t); if (num + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE(os, t); } template ostream &operator<<(ostream &os, const tuple &t) { PRINT_TUPLE(os << '{', t); return os << '}'; } template::value, decltype(declval().begin(), nullptr)>> ostream& operator<<(ostream &os, const C &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; } template ostream &operator<<(ostream &os, const stack &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } template ostream &operator<<(ostream &os, const queue &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); return os << d; } template ostream &operator<<(ostream &os, const priority_queue &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } // OUTPUT FUNCTION template int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; } inline int print() { cout << endl; return 0; } template int print(Head&& head){ cout << head; return print(); } template int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward(tail)...); } #ifdef LOCAL inline void dump() { cerr << endl; } template void dump(Head&& head) { cerr << head; dump(); } template void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward(tail)...); } #define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false) #else #define dump(...) #define debug(...) #endif /* OTHER */ #define fi first #define se second #define MP make_pair #define MT make_tuple #define tmax(x, y, z) max((x), max((y), (z))) #define tmin(x, y, z) min((x), min((y), (z))) template inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); } template inline bool chmax(A &a, const B &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A &a, const B &b) { if (a > b) { a = b; return true; } return false; } inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1) r *= a; a *= a; } while (b >>= 1); return r; } struct abracadabra { abracadabra() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(5); }; } ABRACADABRA; #pragma endregion #pragma region graph template /** * @brief グラフテンプレート * @docs docs/graph/template.md */ template struct Edge { int frm, to, idx; T cst; Edge() {} Edge(int f, int t, T c, int i = -1) : frm(f), to(t), cst(c), idx(i) {} operator int() const { return to; } }; template constexpr T GINF = numeric_limits::max() / 10; template struct Graph { int V, E; vector>> mat; vector> wf; Graph() {} Graph(int v) : V(v), E(0), mat(v) {} inline void add_edge(int a, int b, T c = 1, int margin = 0) { a -= margin, b -= margin; mat[a].emplace_back(a, b, c, E++); mat[b].emplace_back(b, a, c, E++); } inline void add_arc(int a, int b, T c = 1, int margin = 0) { a -= margin, b -= margin; mat[a].emplace_back(a, b, c, E++); } inline void input_edges(int M, int margin = 0, bool need_cost = false) { for (int i = 0; i < M; ++i) { if (need_cost) { int a, b; T c; cin >> a >> b >> c; add_edge(a, b, c, margin); } else { int a, b; T c(1); cin >> a >> b; add_edge(a, b, c, margin); } } } inline void input_arcs(int M, int margin = 0, bool need_cost = false) { for (int i = 0; i < M; ++i) { if (need_cost) { int a, b; T c; cin >> a >> b >> c; add_arc(a, b, c, margin); } else { int a, b; T c(1); cin >> a >> b; add_arc(a, b, c, margin); } } } inline bool is_bipartite() { bool isbi = true; vector color(V, 0); auto dfs = [&](auto &&f, int i, int clr) -> void { if (color[i] != 0) return; color[i] = clr; for (auto& e: mat[i]) { /* */if (color[e.to] == 0) f(f, e.to, -clr); else if (color[e.to] == clr) isbi = false; } }; dfs(dfs, 0, 1); return isbi; // int cnt = 0; // for (auto& e: color) if (e == 1) ++cnt; // return isbi ? -1 : cnt; } }; #pragma endregion #pragma region graph heavy light decomposition /** * @brief HL分解 * @docs docs/graph/tree/hldecomposition.md */ template struct HLDecomposition : Graph { using Graph::Graph; using Graph::mat; using Graph::V; vector sub, dep, par, head, in, out, rev; vector dst; void build(const int root = 0) { sub.assign(V, 0); dep.assign(V, 0); par.assign(V, 0); head.assign(V, 0); in.assign(V, 0); out.assign(V, 0); rev.assign(V, 0); dst.assign(V, T(0)); dfs_sz(root, -1, 0, T(0)); int t = 0; dfs_hld(root, -1, t); } int get(int u) const { return in[u]; } int lca(int u, int v) const { for (;; v = par[head[v]]) { // uよりもvを後に来るようにして, vを上に押し上げていく if (in[u] > in[v]) swap(u, v); if (head[u] == head[v]) return u; } } T dist(int u, int v) const { return dst[u] + dst[v] - 2 * dst[lca(u, v)]; } pair get_subtree(int u, bool isEdge = false) const { return make_pair(in[u] + isEdge, out[u]); } vector> get_path(int u, int v, bool isEdge = false) { vector> ret; for(;; v = par[head[v]]) { if (in[u] > in[v]) swap(u, v); if (head[u] == head[v]) break; ret.emplace_back(in[head[v]], in[v] + 1); } ret.emplace_back(in[u] + isEdge, in[v] + 1); return ret; } void dfs_sz(int cur, int prv, int depth, T weight) { sub[cur] = 1; dep[cur] = depth; par[cur] = prv; dst[cur] = weight; // 0番目をheavy-pathにするための比較対象を設定 if (mat[cur].size() && mat[cur][0] == prv) swap(mat[cur][0], mat[cur].back()); for (auto& nxt : mat[cur]) { if (nxt == prv) continue; dfs_sz(nxt, cur, depth + 1, weight + nxt.cst); sub[cur] += sub[nxt]; if (sub[mat[cur][0]] < sub[nxt]) swap(mat[cur][0], nxt); } } void dfs_hld(int cur, int prv, int& times) { in[cur] = times++; rev[in[cur]] = cur; for (auto& nxt : mat[cur]) { if (nxt == prv) continue; // cur-nxtがheavy-path上ならheadは同じ head[nxt] = mat[cur][0] == nxt ? head[cur] : nxt; dfs_hld(nxt, cur, times); } out[cur] = times; } }; #pragma endregion signed main() { SS(int, N); HLDecomposition hld(N); hld.input_edges(N - 1, 1, false); hld.build(); REP(i, N) { int dep = hld.dep[i]; ll sm = hld.sub[i]; sm *= sm; for (auto& chd: hld.mat[i]) { if (hld.dep[chd] < dep) continue; ll sq = hld.sub[chd]; sm -= sq * sq; } print(sm); } }