/* Problem URL: https://cses.fi/problemset/task/1693 */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; vi out(n); vi in(n); vvi graph(n); while (m--) { int a, b; cin >> a >> b; a--, b--; out[a]++; in[b]++; graph[a].push_back(b); } auto check = [&]() { if (out[0] != in[0] + 1 || out[n - 1] + 1 != in[n - 1]) { return false; }; nrep(i, 1, n - 1) { if (out[i] != in[i]) { return false; } } return true; }; if (!check()) { cout << "IMPOSSIBLE\n"; return 0; } stack s; s.push(0); vi path; while (!s.empty()) { int i = s.top(); if (graph[i].empty()) { path.push_back(i + 1); s.pop(); continue; } s.push(graph[i].back()); graph[i].pop_back(); } rep(i, n) { if (!graph[i].empty()) { cout << "IMPOSSIBLE\n"; return 0; } } reverse(all(path)); cout << path; }