#include #include #include #include using namespace std; struct StronglyConnectedComponents { int id = 0; vector> gg, rg; vector comp, order, seen, depth; StronglyConnectedComponents(int v) : \ gg(v), rg(v), comp(v, -1), seen(v, 0), depth(v, 1) { } void add_edge(int x, int y) { gg[x].emplace_back(y); rg[y].emplace_back(x); } void dfs(int u) { // order, seen seen[u] = true; for (int v: gg[u]) if (!seen[v]) dfs(v); order.emplace_back(u); } void rdfs(int u, int id) { // comp, depth comp[u] = id; for (int v: rg[u]) { if (comp[v] == -1) rdfs(v, id); depth[u] = max(depth[u], depth[v] + 1); } } int build() { for (int u = 0; u < gg.size(); ++u) if (!seen[u]) dfs(u); reverse(begin(order), end(order)); for (int u: order) if (comp[u] == -1) rdfs(u, id++); return id; } vector> make_graph() { vector> g_comp(id); set> connect; for (int u = 0; u < gg.size(); ++u) for (int v: gg[u]) { int x = comp[u], y = comp[v]; if (x == y) continue; if (connect.count({x, y})) continue; g_comp[x].emplace_back(y); connect.emplace(x, y); } return g_comp; } int operator[](int k) { return comp[k]; } }; struct TwoSatisfiability : StronglyConnectedComponents { int sz; TwoSatisfiability(int v) : StronglyConnectedComponents(v + v), sz(v) {} void add_if(int u, int v) { // u -> v <=> ¬v -> ¬u add_edge(u, v); add_edge(neg(v), neg(u)); } void add_or(int u, int v) { add_if(neg(u), v); } // u or v <=> ¬u -> v void add_nand(int u, int v) { add_if(u, neg(v)); } // ¬(u ∧ v) <=> u -> ¬v void set_true(int v) { add_edge(neg(v), v); } // v <=> ¬v -> v void set_false(int v) { add_edge(v, neg(v)); } // ¬v <=> v -> ¬v int neg(int x) { return (x + sz) % (sz * 2); } bool solve() { build(); for (int i = 0; i < sz; i++) { if ((*this)[i] == (*this)[neg(i)]) return false; } return true; } bool operator()(int v) { return (*this)[v] > (*this)[neg(v)]; } }; int main() { int n; cin >> n; vector u(n); for (string& ui: u) cin >> ui; if (n > 26 * 2) return !(cout << "Impossible" << endl); TwoSatisfiability ts(n); #define NOT(i) ts.neg(i) for (int i = 0; i < n; i++) for (int j = 0; j < i; j++) { auto &sa = u[i], &sb = u[j]; if (sa.substr(0, 2) == sb.substr(0, 2) || sa[2] == sb[2]) ts.add_nand(i, j); if (sa.substr(0, 2) == sb.substr(1, 2) || sa[2] == sb[0]) ts.add_nand(i, NOT(j)); if (sa.substr(1, 2) == sb.substr(0, 2) || sa[0] == sb[2]) ts.add_nand(NOT(i), j); if (sa.substr(1, 2) == sb.substr(1, 2) || sa[0] == sb[0]) ts.add_nand(NOT(i), NOT(j)); } if (!ts.solve()) return !(cout << "Impossible" << endl);; for (int i = 0; i < n; i++) { if (ts(i)) cout << u[i].substr(0, 2) << " " << u[i].substr(2, 1) << endl; else cout << u[i].substr(0, 1) << " " << u[i].substr(1, 2) << endl; } return 0; }