#include #include using namespace std; using namespace atcoder; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } /// https://ei1333.github.io/algorithm/namori.html template< typename G > struct Namori { const G &g; vector< int > in; Namori(const G &g) : g(g), in(g.size(), 0) {} void decomposition(vector< int > &loop, vector< vector< int > > &forest) { int N = (int) in.size(); for(int i = 0; i < N; i++) { in[i] = g[i].size(); } forest.resize(N); queue< int > que; vector< bool > v(N, 0); for(int i = 0; i < N; i++) { if(in[i] == 1) { que.emplace(i); v[i] = true; } } while(!que.empty()) { int idx = que.front(); que.pop(); for(auto &to : g[idx]) { if(v[to]) continue; --in[to]; forest[to].push_back(idx); forest[idx].push_back(to); if(in[to] > 1) continue; que.emplace(to); v[to] = true; } } function< void(int) > dfs = [&](int idx) { loop.push_back(idx); for(auto &to : g[idx]) { if(v[to]) continue; v[to] = true; dfs(to); } }; for(int i = 0; i < N; i++) { if(v[i]) continue; v[i] = true; dfs(i); break; } } }; ll n; void input(){ in(n); } void solve(){ vector G(n); map> mp; rep(i, n){ ll a, b; in(a, b); a--; b--; mp[a][b] = i; mp[b][a] = -1; G[a].push_back(b); G[b].push_back(a); } Namori> nm(G); vi loop; vector forest; nm.decomposition(loop, forest); vst ans(n); ll m = loop.size(); rep(i, m){ ll k = mp[loop[i]][loop[(i + 1) % n]]; if(k == -1){ ans[mp[loop[(i + 1) % n]][loop[i]]] = "->"; }else{ ans[k] = "<-"; } } vll check(n); queue q; rep(i, m){ q.push(loop[i]); check[loop[i]] = 1; } while(q.size()){ ll f = q.front(); q.pop(); for(auto x : G[f]){ if(check[x]) continue; check[x] = 1; ll k = mp[f][x]; if(k == -1){ ans[mp[x][f]] = "->"; }else{ ans[k] = "<-"; } q.push(x); } } vout(ans, "\n"); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }