/* Problem URL: https://codeforces.com/edu/course/2/lesson/6/4/practice/contest/285069/problem/B */ #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; V>> graph(n); while (m--) { int a, b, c; cin >> a >> b >> c; graph[a - 1].emplace_back(b - 1, c); } vi parent(n); long double low = 0; long double high = 1e3; long double act = 0; long double eps = 1e-9; vi next(n, -1); long double inf = 1e18; while ((high - low) >= eps) { long double mid = (high + low) / 2; V memo(n, -inf); function dfs = [&](int i) { long double &ans = memo[i]; if (ans != -inf) { return ans; } if (i == n - 1) { ans = 0; return ans; } ans = inf; for (auto [j, c] : graph[i]) { // rmin(ans, dfs(j) + c - mid); long double tmp = dfs(j) + c - mid; if (tmp <= ans) { next[i] = j; ans = tmp; } } return ans; }; long double tmp = dfs(0); if (tmp <= 0) { high = mid; act = mid; continue; } low = mid; } vi ans = {1}; int now = next[0]; while (now != n - 1) { ans.push_back(now + 1); now = next[now]; } ans.push_back(n); cout << ans.size() - 1 << '\n' << ans; }