/* Problem URL: https://cses.fi/problemset/task/1202 */ #include using namespace std; #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); V>> rev(n); while (m--) { int a, b, c; cin >> a >> b >> c; a--, b--; graph[a].emplace_back(b, c); rev[b].emplace_back(a, c); } ll inf = INT64_MAX >> 1; vl dis(n, inf); auto dijkstra = [&]() { priority_queue, V>, greater<>> pq; dis[0] = 0; pq.emplace(0, 0); while (!pq.empty()) { auto [c, i] = pq.top(); pq.pop(); if (c > dis[i]) { continue; } for (auto [j, cc] : graph[i]) { if (dis[j] > c + cc) { dis[j] = c + cc; pq.emplace(dis[j], j); } } } return dis.back(); }; ll ans = dijkstra(); vl dp1(n, -1); ll mod = 1e9 + 7; function dfs1 = [&](int i, ll c) { if (i == 0) { dp1[i] = 1; return dp1[i]; } if (dp1[i] != -1) { return dp1[i]; } dp1[i] = 0; for (auto [j, cc] : rev[i]) { if (dis[j] == c - cc) { dp1[i] += dfs1(j, c - cc); dp1[i] %= mod; } } return dp1[i]; }; vi dp2(n, -1); function dfsmax = [&](int i, ll c) { if (i == 0) { dp2[i] = 1; return dp2[i]; } if (dp2[i] != -1) { return dp2[i]; } dp2[i] = 0; for (auto [j, cc] : rev[i]) { if (dis[j] == c - cc) { int res = dfsmax(j, c - cc); if (res > 0) { rmax(dp2[i], res + 1); } } } return dp2[i]; }; vi dp3(n, -1); function dfsmin = [&](int i, ll c) { if (i == 0) { dp3[i] = 1; return dp3[i]; } if (dp3[i] != -1) { return dp3[i]; } dp3[i] = INT32_MAX >> 1; for (auto [j, cc] : rev[i]) { if (dis[j] == c - cc) { rmin(dp3[i], dfsmin(j, c - cc) + 1); } } return dp3[i]; }; cout << ans << ' ' << dfs1(n - 1, ans) << ' ' << dfsmin(n - 1, ans) - 1 << ' ' << dfsmax(n - 1, ans) - 1 << '\n'; }