#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int INF = 1001001001; // constexpr int mod = 1000000007; constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } struct StronglyConnectedComponents{ using G = vector>; G graph; G rev; int n; int scc_sz = 0; G scc_graph; vector scc_id; vector vs; vector visited; StronglyConnectedComponents() = default; StronglyConnectedComponents(int V) : n(V) { graph.resize(n); rev.resize(n); scc_id.assign(n, -1); visited.assign(n, false); } StronglyConnectedComponents(G& g) : graph(g), n(g.size()) { rev.resize(n); scc_id.assign(n, -1); visited.assign(n, false); for(int u = 0; u < n; ++u){ for(int v : graph[u]) rev[v].push_back(u); } } void resize(int V){ n = V; graph.resize(n); rev.resize(n); scc_id.assign(n, -1); visited.assign(n, false); } void add_edge(int u, int v){ graph[u].emplace_back(v); rev[v].emplace_back(u); } void dfs(int from){ visited[from] = true; for(int to : graph[from]){ if(!visited[to]) dfs(to); } vs.push_back(from); } void rdfs(int from, int k){ scc_id[from] = k; for(int to : rev[from]){ if(scc_id[to] == -1) rdfs(to, k); } } void build(){ for(int v = 0; v < n; ++v){ if(!visited[v]) dfs(v); } reverse(vs.begin(), vs.end()); for(int v : vs){ if(scc_id[v] == -1) rdfs(v, scc_sz++); } scc_graph.resize(scc_sz); for(int v = 0; v < n; ++v){ scc_graph[scc_id[v]].push_back(v); } return; } int size() { return scc_sz; } vector get_set(int k) { return scc_graph[k]; } int operator[](int v) { return scc_id[v]; } }; struct TwoSAT { StronglyConnectedComponents scc; int n; vector sat; TwoSAT(int V) : n(V) { scc.resize(n * 2); sat.resize(n); } // [false] [true] void add_edge(int i, bool f, int j, bool g){ scc.add_edge(i * 2 + (f ? 0 : 1), j * 2 + (g ? 1 : 0)); scc.add_edge(j * 2 + (g ? 0 : 1), i * 2 + (f ? 1 : 0)); } // sat[v] = true : v = false // sat[v] = false : v = true bool satisfiable(){ scc.build(); for(int i = 0; i < n; ++i){ if(scc[i * 2] == scc[i * 2 + 1]) return false; sat[i] = scc[i * 2] < scc[i * 2 + 1]; } return true; } vector get_sat() { return sat; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int N; cin >> N; if(N > 1000){ cout << "Impossible\n"; return 0; } vector s(N); for(int i = 0; i < N; ++i) cin >> s[i]; TwoSAT ts(N); for(int i = 0; i < N; ++i){ for(int j = 0; j < i; ++j){ if(s[i][0] == s[j][0] || s[i].substr(1, 2) == s[j].substr(1, 2)){ ts.add_edge(i, false, j, false); } if(s[i][0] == s[j][2] || s[i].substr(1, 2) == s[j].substr(0, 2)){ ts.add_edge(i, false, j, true); } if(s[i][2] == s[j][0] || s[i].substr(0, 2) == s[j].substr(1, 2)){ ts.add_edge(i, true, j, false); } if(s[i][2] == s[j][2] || s[i].substr(0, 2) == s[j].substr(0, 2)){ ts.add_edge(i, true, j, true); } } } if(!ts.satisfiable()){ cout << "Impossible\n"; return 0; } auto ans = ts.get_sat(); for(int i = 0; i < N; ++i){ if(ans[i]) cout << s[i][0] << ' ' << s[i].substr(1, 2) << '\n'; else cout << s[i].substr(0, 2) << ' ' << s[i][2] << '\n'; } return 0; }