#include using namespace std; #define SZ(x) (int) (x).size() #define REP(i, n) for(int i = 0; i < (n); i++) #define FOR(i, a, b) for(auto i = (a); i < (b); i++) #define For(i, a, b, c) \ for(auto i = (a); i != (b); i += (c)) #define REPR(i, n) for(auto i = (n) -1; i >= 0; i--) #define ALL(s) (s).begin(), (s).end() #define so(V) sort(ALL(V)) #define rev(V) reverse(ALL(V)) #define uni(v) v.erase(unique(ALL(v)), (v).end()) #define eb emplace_back typedef unsigned long long ull; typedef long long ll; typedef vector vi; typedef vector vll; typedef vector vb; typedef vector vvi; typedef vector vvll; typedef pair PI; typedef pair PL; const double EPS = 1e-6; const int MOD = 1e9 + 7; const int INF = (1 << 30); const ll LINF = 1e18; const double math_PI = acos(-1); 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 typename enable_if::value == 0>::type fill_v( T& t, const V& v) { t = v; } template typename enable_if::value != 0>::type fill_v( T& t, const V& v) { for(auto& e: t) fill_v(e, v); } template bool chmax(T& a, const T& b) { if(a < b) { a = b; return true; } return false; } template bool chmin(T& a, const T& b) { if(a > b) { a = b; return true; } return false; } template istream& operator>>(istream& is, pair& p) { cin >> p.first >> p.second; return is; } template istream& operator>>(istream& is, vector& vec) { for(T& x: vec) is >> x; return is; } template string join(vector& vec, string splitter) { stringstream ss; REP(i, SZ(vec)) { if(i != 0) ss << splitter; ss << vec[i]; } return ss.str(); } template ostream& operator<<(ostream& os, vector& vec) { os << join(vec, " "); return os; } template struct Edge { public: int from, to; T cost; Edge() { } Edge(int _from, int _to, T _cost) { from = _from; to = _to; cost = _cost; } }; template using Edges = vector>; template using Graph = vector>; vi cycle_detection(Graph<>& G) { int N = SZ(G); vi cycle; vb visited(N); vb seen(N); auto dfs = [&](auto f, int cur, int pre = -1) -> int { if(seen[cur]) { return cur; } seen[cur] = true; for(Edge e: G[cur]) { if(e.to == pre) continue; if(visited[e.to]) continue; int begin = f(f, e.to, cur); if(begin == -2) { visited[cur] = true; return -2; } if(begin == -1) continue; if(begin == cur) { cycle.push_back(cur); visited[cur] = true; return -2; } cycle.push_back(cur); visited[cur] = true; return begin; } visited[cur] = true; return -1; }; REP(i, N) { if(!cycle.empty()) break; if(visited[i]) continue; dfs(dfs, i); } if(cycle.empty()) { return vi(); } rev(cycle); vi C(N, -1); REP(i, SZ(cycle)) { C[cycle[i]] = i; } int ind = 0; vi ret; using P = pair; set

S; while(ind != -1) { int v = cycle[ind]; ret.push_back(v); S.insert({ ind, SZ(ret) - 1 }); int next = -1; int pre = -1; for(Edge e: G[v]) { int n = C[e.to]; if(n == -1) continue; if(n < ind) { auto [a, b] = *S.lower_bound({ n, 0 }); if(a != n) continue; chmax(pre, b); } chmax(next, n); } if(pre != -1) { vi new_ret; FOR(i, pre, SZ(ret)) { new_ret.push_back(ret[i]); } ret = new_ret; return ret; } ind = next; } return ret; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int N; cin >> N; Graph<> G(N); map M; REP(i, N) { int A, B; cin >> A >> B; A--; B--; G[A].eb(A, B, i + 1); G[B].eb(B, A, -i - 1); M[{ A, B }] = i + 1; M[{ B, A }] = -1 - i; } vi to(N, -1); vi ans(N, -1); auto dfs2 = [&](auto f, int cur, int pre) -> void { int m = M[{ pre, cur }]; if(m > 0) ans[m - 1] = 0; else ans[-m - 1] = 1; for(auto e: G[cur]) { if(e.to == pre) continue; f(f, e.to, cur); } }; bool found = false; auto dfs = [&](auto f, int cur, int pre) -> void { if(found) return; if(to[cur] != -1) { int c = cur; int p = pre; int m = M[{ p, c }]; if(m > 0) ans[m - 1] = 1; else ans[-m - 1] = 0; for(auto e: G[c]) { if(e.to != to[c] && e.to != p) { dfs2(dfs2, e.to, c); } } p = c; c = to[c]; while(c != cur) { m = M[{ p, c }]; if(m > 0) ans[m - 1] = 1; else ans[-m - 1] = 0; for(auto e: G[c]) { if(e.to != to[c] && e.to != p) { dfs2(dfs2, e.to, c); } } p = c; c = to[c]; } found = true; return; } for(auto e: G[cur]) { if(e.to == pre) continue; to[e.from] = e.to; f(f, e.to, e.from); to[e.from] = -1; } }; dfs(dfs, 0, -1); REP(i, N) { if(ans[i] == 1) { cout << "->" << endl; } else if(ans[i] == 0) { cout << "<-" << endl; } } return 0; }