#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #if __has_include() #include #endif #define GET_MACRO(_1, _2, _3, NAME, ...) NAME #define _rep(i, n) _rep2(i, 0, n) #define _rep2(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define UNIQUE(x) \ std::sort((x).begin(), (x).end()); \ (x).erase(std::unique((x).begin(), (x).end()), (x).end()) using i64 = long long; template bool chmin(T& a, const U& b) { return (b < a) ? (a = b, true) : false; } template bool chmax(T& a, const U& b) { return (b > a) ? (a = b, true) : false; } inline void YesNo(bool f = 0, string yes = "Yes", string no = "No") { std::cout << (f ? yes : no) << "\n"; } namespace io { template istream& operator>>(istream& i, vector& v) { rep(j, v.size()) i >> v[j]; return i; } template string join(vector& v) { stringstream s; rep(i, v.size()) s << ' ' << v[i]; return s.str().substr(1); } template ostream& operator<<(ostream& o, vector& v) { if (v.size()) o << join(v); return o; } template string join(vector>& vv) { string s = "\n"; rep(i, vv.size()) s += join(vv[i]) + "\n"; return s; } template ostream& operator<<(ostream& o, vector>& vv) { if (vv.size()) o << join(vv); return o; } template istream& operator>>(istream& i, pair& p) { i >> p.first >> p.second; return i; } template ostream& operator<<(ostream& o, pair& p) { o << p.first << " " << p.second; return o; } void print() { cout << "\n"; } template void print(Head&& head, Tail&&... tail) { cout << head; if (sizeof...(tail)) cout << ' '; print(std::forward(tail)...); } void in() {} template void in(Head&& head, Tail&&... tail) { cin >> head; in(std::forward(tail)...); } } // namespace io using namespace io; namespace useful { long long modpow(long long a, long long b, long long mod) { long long res = 1; while (b) { if (b & 1) res *= a, res %= mod; a *= a; a %= mod; b >>= 1; } return res; } bool is_pow2(long long x) { return x > 0 && (x & (x - 1)) == 0; } template void rearrange(vector& a, vector& p) { vector b = a; for (int i = 0; i < int(a.size()); i++) { a[i] = b[p[i]]; } return; } template vector> rle_sequence(T& a) { vector> res; int n = a.size(); if (n == 1) return vector>{{a[0], 1}}; int l = 1; rep(i, n - 1) { if (a[i] == a[i + 1]) l++; else { res.emplace_back(a[i], l); l = 1; } } res.emplace_back(a.back(), l); return res; } vector> rle_string(string a) { vector> res; int n = a.size(); if (n == 1) return vector>{{a[0], 1}}; int l = 1; rep(i, n - 1) { if (a[i] == a[i + 1]) l++; else { res.emplace_back(a[i], l); l = 1; } } res.emplace_back(a.back(), l); return res; } vector linear_sieve(int n) { vector primes; vector res(n + 1); iota(all(res), 0); for (int i = 2; i <= n; i++) { if (res[i] == i) primes.emplace_back(i); for (auto j : primes) { if (j * i > n) break; res[j * i] = j; } } return res; // return primes; } template vector dijkstra(vector>>& graph, int start) { int n = graph.size(); vector res(n, 2e18); res[start] = 0; priority_queue, vector>, greater>> que; que.push({0, start}); while (!que.empty()) { auto [c, v] = que.top(); que.pop(); if (res[v] < c) continue; for (auto [nxt, cost] : graph[v]) { auto x = c + cost; if (x < res[nxt]) { res[nxt] = x; que.push({x, nxt}); } } } return res; } } // namespace useful using namespace useful; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; in(n); vector> e(n); vector cnt(n); map, int> mp; vector ans(n); rep(i, n) { int a, b; in(a, b); a--, b--; e[a].emplace_back(b); e[b].emplace_back(a); cnt[a]++; cnt[b]++; mp[{a, b}] = i; } auto cnt2 = cnt; queue que; vector cycle(n, 1); rep(i, n) if (cnt[i] == 1) { cycle[i] = 0; que.emplace(i); } while (!que.empty()) { auto now = que.front(); que.pop(); for (auto j : e[now]) { cnt[j]--; if (mp.count(minmax(now, j))) { auto idx = mp[minmax(now, j)]; if (now < j) ans[idx] = "->"; else ans[idx] = "<-"; mp.erase(minmax(now, j)); } if (cnt[j] == 1) { cycle[j] = 0; que.emplace(j); } } } set s; rep(i, n) { if (cycle[i]) s.insert(i); } auto now = *s.begin(); auto k = now; s.erase(now); while (s.size()) { for (auto j : e[now]) { if (s.count(j)) { if (mp.count(minmax(now, j))) { auto idx = mp[minmax(now, j)]; if (now < j) ans[idx] = "->"; else ans[idx] = "<-"; mp.erase(minmax(now, j)); } s.erase(j); now = j; break; assert(false); } } } auto idx = mp[minmax(now, k)]; if (now < k) ans[idx] = "->"; else ans[idx] = "<-"; for (auto j : ans) print(j); }