#include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifndef templete #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() //#include //using namespace boost::multiprecision; using namespace std; using namespace atcoder; //using atmint = modint998244353; using atmint = modint; using Graph = vector>; using P = pair; //#pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } templatebool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } //--------------------------------------------------------------------------------------------------- template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template ostream& operator<<(ostream& st, const ModInt a) { st << a.get(); return st; }; template ModInt operator^(ModInt a, unsigned long long k) { ModInt r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } template struct Comb { vector fac, ifac; Comb(){fac.resize(FAC_MAX,1);ifac.resize(FAC_MAX,1);rep(i,1,FAC_MAX)fac[i]=fac[i-1]*i; ifac[FAC_MAX-1]=T(1)/fac[FAC_MAX-1];rrep(i,FAC_MAX-2,1)ifac[i]=ifac[i+1]*T(i+1);} T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; } T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; } T nHk(int n, int k) { if (n == 0 && k == 0) return T(1); if (n <= 0 || k < 0) return 0; return aCb(n + k - 1, k); } // nHk = (n+k-1)Ck : n is separator T pairCombination(int n) {if(n%2==1)return T(0);return fac[n]*ifac[n/2]/(T(2)^(n/2));} // combination of paris for n com.aCb(h+w-2,h-1); }; //typedef ModInt<1000000007> mint; typedef ModInt<998244353> mint; //typedef ModInt<1000000000> mint; Comb com; //vector dp(n+1,vector(n+1,vector(n+1,0))); //vector dp(n+1,vector(n+1,0)); std::random_device seed_gen; std::mt19937 engine(seed_gen()); string ye = "Yes"; string no = "No"; string draw = "Draw"; #endif // templete //--------------------------------------------------------------------------------------------------- ll n; vectora,b; vectorans; Graph g; mapmp; vectorv; vectorc; ll s; void dfs(ll from, ll par){ v.push_back(from); if(from == b[s])c = v; for(auto to:g[from]){ if(par == to)continue; dfs(to,from); } v.pop_back(); } string make_ans(ll idx){ if(idx < 0) return "<-"; else return "->"; } void _main() { cin >> n; a.resize(n); b.resize(n); ans.resize(n,""); dsu d(n); g.resize(n); rep(i,0,n){ cin >> a[i] >> b[i]; a[i]--; b[i]--; if(d.same(a[i],b[i])){ s = i; ans[s] = "<-"; }else{ d.merge(a[i],b[i]); g[a[i]].push_back(b[i]); g[b[i]].push_back(a[i]); mp[{a[i],b[i]}] = (i+1); mp[{b[i],a[i]}] = (i+1) * -1; } } ll now = a[s]; dfs(a[s],-1); vectorseen(n,0); // cout << a[s] << " " << b[s] << endl; // rep(i,0,c.size())cout << c[i]+1 << " "; // cout << endl; if(c.size() == 0){ c.push_back(a[s]); c.push_back(b[s]); } if(c.size()){ rep(i,0,c.size()-1){ ll idx = mp[{c[i],c[i+1]}]; seen[c[i]] = 1; seen[c[i+1]] = 1; ans[abs(idx)-1] = make_ans(idx); } ll iidx = mp[{c.back(),c[0]}]; if(iidx != 0) ans[abs(iidx)-1] = make_ans(iidx); } g[a[s]].push_back(b[s]); g[b[s]].push_back(a[s]); setc_st; rep(i,0,c.size())c_st.insert(c[i]); vectordig(n,0); rep(i,0,n)dig[i] = g[i].size(); rep(i,0,n){ // if(i == 1 || i == 15)cout << i << " " << dig[0] << " " << dig[1] << " " << dig[15] << endl; if(dig[i] != 1)continue; seen[i] = 1; setused; used.insert(i); queueq; q.push(i); while(q.size()){ ll from = q.front(); // if(i == 1 || i == 15)cout << from << " " << dig[from] << endl; q.pop(); if(c_st.count(from))continue; for(auto to:g[from]){ if(used.count(to))continue; dig[from]--; dig[to]--; if(dig[to] == 1){ q.push(to); used.insert(to); } ll idx = mp[{from,to}]; // if(abs(idx) == 14)cout << i << " " << from << " " << to << endl; if(idx < 0) ans[abs(idx)-1] = "<-"; else ans[abs(idx)-1] = "->"; } } } rep(i,0,n){ cout << ans[i] << "\n"; } }