#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);} class TwoSat{ int n; vector> g, rg; int f(int i){ assert(i != 0); assert(abs(i) <= n); if(i > 0) return i-1; else return abs(i)-1 + n; } public: TwoSat(int n): n(n), g(2*n), rg(2*n){} /** * @brief a∨bの規則を導入する */ void add(int a, int b){ if(a == b){ // a ∨ a <=> (!a => a) g[f(-a)].push_back(f(a)); rg[f(a)].push_back(f(-a)); }else{ // a ∨ b <=> (!a => b) ∧ (!b => a) g[f(-a)].push_back(f(b)); g[f(-b)].push_back(f(a)); rg[f(b)].push_back(f(-a)); rg[f(a)].push_back(f(-b)); } } /** * @brief ¬(a∧b)の規則を導入する */ void not_coexist(int a, int b){ // !(A ∧ B) <=> (!A ∨ !B) add(-a, -b); } private: // scc用 vector visit; vector check; vector scc; void dfs(int cur){ visit[cur] = true; for(auto e : g[cur]){ if(not visit[e]) dfs(e); } check.push_back(cur); } void rdfs(int cur, int i){ scc[cur] = i; for(auto e : rg[cur]){ if(scc[e] == -1) rdfs(e,i); } } vector tsort(const vector> &graph){ int n = graph.size(); vector indeg(n); REP(i,n){ for(auto e : graph[i]){ ++indeg[e]; } } stack st; REV(i,n-1,0){ if(indeg[i] == 0) st.push(i); } vector ret; while(!st.empty()){ int cur = st.top(); st.pop(); ret.push_back(cur); for(auto e : graph[cur]){ --indeg[e]; if(indeg[e]==0){ st.push(e); } } } return ret; } public: bool solve(vector &ret){ visit.assign(2*n, false); scc.assign(2*n, -1); REP(i,2*n) if(!visit[i]) dfs(i); reverse(ALL(check)); int m = 0; for(auto c : check) if(scc[c] == -1) {rdfs(c,m); ++m;} REP(i,n) if(scc[i] == scc[i+n]) return false; vector> g2(m); REP(i,n*2){ for(auto j : g[i]){ if(scc[i] != scc[j]) g2[scc[i]].push_back(scc[j]); } } auto ts = tsort(g2); vector r(m); REP(i,m) r[ts[i]] = i; ret = vector(n); REP(i,n) ret[i] = r[scc[i]] > r[scc[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]}; } TwoSat sat(N); set cnt; for(auto &s : U) for(auto &c : s) cnt.insert(c); if((int)cnt.size() < N){ cout << "Impossible" << endl; continue; } FORE(i,1,N){ FORE(j,i+1,N){ if(S1[i-1] == S1[j-1] or T1[i-1] == T1[j-1]) sat.not_coexist(i, j); if(S1[i-1] == T2[j-1] or T1[i-1] == S2[j-1]) sat.not_coexist(i, -j); if(S2[i-1] == T1[j-1] or T2[i-1] == S1[j-1]) sat.not_coexist(-i, j); if(S2[i-1] == S2[j-1] or T2[i-1] == T2[j-1]) sat.not_coexist(-i, -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; }