#include #define FOR(v, a, b) for(int v = (a); v < (b); ++v) #define FORE(v, a, b) for(int v = (a); v <= (b); ++v) #define REP(v, n) FOR(v, 0, n) #define REPE(v, n) FORE(v, 0, n) #define REV(v, a, b) for(int v = (a); v >= (b); --v) #define ALL(x) (x).begin(), (x).end() #define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it) #define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it) #define EXIST(c,x) ((c).find(x) != (c).end()) #define LLI long long int #define fst first #define snd second #ifdef DEBUG #include #else #define dump(x) ((void)0) #endif #define gcd __gcd using namespace std; template constexpr T lcm(T m, T n){return m/gcd(m,n)*n;} template void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost< istream& operator>>(istream &is, vector &v){for(auto &a : v) is >> a; return is;} template istream& operator>>(istream &is, pair &p){is >> p.first >> p.second; return is;} template bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);} template bool chmax(T &a, const U &b){return (a void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);} template class Edge{ public: int from,to; Cost cost; Edge() {} Edge(int from, int to, Cost cost): from(from), to(to), cost(cost){} Edge rev() const {return Edge(to,from,cost);} static bool cmp_to_lt(const Edge &e1, const Edge &e2){return e1.to < e2.to;} static bool cmp_cost_lt(const Edge &e1, const Edge &e2){return e1.cost < e2.cost;} static bool cmp_to_gt(const Edge &e1, const Edge &e2){return e1.to > e2.to;} static bool cmp_cost_gt(const Edge &e1, const Edge &e2){return e1.cost > e2.cost;} friend ostream& operator<<(ostream &os, const Edge &e){ os << "(FROM: " << e.from << "," << "TO: " << e.to << "," << "COST: " << e.cost << ")"; return os; } }; template using Graph = vector>>; template vector strongly_connected_components(Graph &graph){ int n = graph.size(); vector visit(n); vector check; function dfs = [&](int cur){ visit[cur] = true; for(auto &e : graph[cur]) if(!visit[e.to]) dfs(e.to); check.push_back(cur); }; REP(i,n) if(!visit[i]) dfs(i); Graph rgraph(n); REP(i,n) for(auto &e : graph[i]) rgraph[e.to].push_back(e.rev()); vector ret(n,-1); reverse(ALL(check)); function rdfs = [&](int cur, int i){ ret[cur] = i; for(auto &e : rgraph[cur]) if(ret[e.to] == -1) rdfs(e.to,i); }; int i = 0; for(auto c : check) if(ret[c] == -1) {rdfs(c,i); ++i;} return ret; } bool tsort(const Graph &graph, vector &ret){ int n = graph.size(); vector indeg(n); REP(i,n){ for(auto &e : graph[i]){ ++indeg[e.to]; } } stack st; REV(i,n-1,0){ if(indeg[i]==0) st.push(i); } while(!st.empty()){ int cur = st.top(); st.pop(); ret.push_back(cur); for(auto &e : graph[cur]){ --indeg[e.to]; if(indeg[e.to]==0){ st.push(e.to); } } } return (int)ret.size() == n; } class two_sat{ int n; Graph g; public: two_sat(int n): n(n), g(2*n){} int inv(int i){ // not if(i (!a => a) g[inv(a)].push_back(Edge(inv(a), a, 1)); }else{ // a ∨ b <=> (!a => b) ∧ (!b => a) g[inv(a)].push_back(Edge(inv(a), b, 1)); g[inv(b)].push_back(Edge(inv(b), a, 1)); } } void not_coexist(int a, int b){ // !(A ∧ B) <=> (!A ∨ !B) add(inv(a), inv(b)); } bool solve(vector &ret){ auto s = strongly_connected_components(g); REP(i,n) if(s[i] == s[i+n]){ dump(i); return false; } int m = *max_element(ALL(s)) + 1; Graph g2(m); vector ts; for(auto &v : g){ for(auto &e : v){ if(s[e.from] != s[e.to]) g2[s[e.from]].push_back(Edge(s[e.from], s[e.to], 1)); } } tsort(g2, ts); vector r(m); REP(i,m) r[ts[i]] = i; ret = vector(n); REP(i,n) ret[i] = r[s[i]] > r[s[i+n]]; return true; } }; int main(){ cin.tie(0); ios::sync_with_stdio(false); int N; while(cin >> N){ vector U(N); cin >> U; vector S1(N), T1(N), S2(N), T2(N); REP(i,N){ S1[i] = {U[i][0], U[i][1]}; T1[i] = {U[i][2]}; S2[i] = {U[i][0]}; T2[i] = {U[i][1], U[i][2]}; } two_sat sat(N); set cnt; for(auto &s : U) for(auto &c : s) cnt.insert(c); if((int)cnt.size() < N){ cout << "Impossible" << endl; continue; } REP(i,N){ FOR(j,i+1,N){ if(S1[i] == S1[j] or T1[i] == T1[j]) sat.not_coexist(i, j); if(S1[i] == T2[j] or T1[i] == S2[j]) sat.not_coexist(i, sat.inv(j)); if(S2[i] == T1[j] or T2[i] == S1[j]) sat.not_coexist(sat.inv(i), j); if(S2[i] == S2[j] or T2[i] == T2[j]) sat.not_coexist(sat.inv(i), sat.inv(j)); } } vector ret; bool ans = sat.solve(ret); if(ans){ REP(i,N){ if(ret[i]) cout << S1[i] << " " << T1[i] << endl; else cout << S2[i] << " " << T2[i] << endl; } }else{ cout << "Impossible" << endl; } } return 0; }