#include #include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; struct SCC { vector> G, G_r, G_out; vector vs, used, cmp; SCC() = default; explicit SCC(int n) : G(n), G_r(n), G_out(n), used(n), cmp(n) {} void add_edge(int a, int b){ G[a].emplace_back(b); G_r[b].emplace_back(a); } void dfs(int v){ used[v] = 1; for (auto &&u : G[v]) if(!used[u]) dfs(u); vs.emplace_back(v); } void dfs_r(int v, int k){ used[v] = 1; cmp[v] = k; for (auto &&u : G_r[v]) if(!used[u]) dfs_r(u, k); } int build() { int n = G.size(); for (int i = 0; i < n; ++i) if(!used[i]) dfs(i); fill(used.begin(),used.end(), 0); int k = 0; for (int i = n - 1; i >= 0; --i) { if(!used[vs[i]]){ dfs_r(vs[i], k++); } } G_out.resize(k); for (int i = 0; i < n; ++i) { for (auto &&j : G[i]) { if(cmp[i] != cmp[j]){ G_out[cmp[i]].emplace_back(cmp[j]); } } } for (int i = 0; i < k; ++i) { sort(G_out.begin(), G_out.end()); G_out.erase(unique(G_out.begin(), G_out.end()), G_out.end()); } return k; } int operator[](int k) const { return cmp[k]; } }; struct TwoSAT { int n; SCC scc; explicit TwoSAT(int n) : n(n), scc(n*2) {}; int negate(int v){ int ret = n+v; if(ret >= n*2) ret -= n*2; return ret; } vector build() { scc.build(); vector res(n); for (int i = 0; i < n; ++i) { if(scc[i] == scc[n+i]) return {}; res[i] = scc[i] > scc[n+i]; } return res; } void add_if(int u, int v){ // u -> v scc.add_edge(u, v); scc.add_edge(negate(v), negate(u)); } void add_or(int u, int v){ // u || v add_if(negate(u), v); } }; int main() { int n; cin >> n; if(n > 52){ puts("Impossible"); return 0; } vector v(n); for (auto &&i : v) { cin >> i; } TwoSAT G(n); vector a(2*n), b(2*n); for (int i = 0; i < n; ++i) { a[i] = v[i].substr(0, 1); a[i+n] = v[i].substr(2, 1); b[i] = v[i].substr(1, 2); b[i+n] = v[i].substr(0, 2); } for (int i = 0; i < 2*n; ++i) { for (int j = i+1; j < 2*n; ++j) { if(a[i] == a[j] || b[i] == b[j]){ G.add_if(i, G.negate(j)); } } } auto ret = G.build(); if(ret.empty()){ puts("Impossible"); }else { for (int i = 0; i < n; ++i) { if(ret[i]){ cout << a[i] << " " << b[i] << "\n"; }else { cout << b[i+n] << " " << a[i+n] << "\n"; } } } return 0; }