#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define all(a) (a).begin(), (a).end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define For(i, a, b) for (ll i = (a); i < (b); i++) #define debug(...) cerr << __LINE__ << " | ", debug_out(#__VA_ARGS__, __VA_ARGS__) #define test_only(x, y, ...) do { if ((x) != (y)) { debug(x, y, ##__VA_ARGS__); } } while (0) #define test_same(x, y, ...) do { if ((x) != (y)) { debug(x, y, ##__VA_ARGS__); abort(); } } while (0) typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; template using P = pair; template using pri_l = priority_queue; template using pri_s = priority_queue, greater>; constexpr int inf = 1000000010; constexpr ll INF = 1000000000000000010; constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1,0 }; int dy[] = { 0,1,0,-1,1,-1,1,-1,0 }; ll safe_mul(ll a, ll b, ll LIM = INF) { return (b != 0 && a > LIM / b ? LIM : a * b); } void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); } template void er(T a) { cout << a << '\n'; exit(0); } template inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return true; } return false; } template ostream& operator << (ostream& s, const pair& p) { s << p.first << ' ' << p.second; return s; } template istream& operator >>(istream& s, vector& v) { for (auto& e : v) s >> e; return s; } template ostream& operator <<(ostream& s, const vector& v) { for (auto& e : v) s << e << ' '; return s; } struct fastio { fastio() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(20); } }fastio_; namespace rdv { random_device seed_gen; mt19937_64 engine(seed_gen()); ll rnum(ll r) { return engine() % r; } // [0, r) ll rnum(ll l, ll r) { return rnum(r - l) + l; } // [l, r) ll rng(ll l, ll r) { return rnum(l, r + 1); } // [l, r] double rng01() { return engine() * pow(2, -64); } template void shuf(vector& v) { shuffle(all(v), engine); } void shuf(string& s) { shuffle(all(s), engine); } } using namespace rdv; template vector compress(vector& v) { int n = ssize(v); vector tmp = v; sort(tmp.begin(), tmp.end()); tmp.erase(unique(tmp.begin(), tmp.end()), tmp.end()); vector res(n); for (int i = 0; i < n; i++) res[i] = lower_bound(tmp.begin(), tmp.end(), v[i]) - tmp.begin(); return res; } #ifdef _MSC_VER using lint = ll; #else using lint = __int128_t; #endif #include using namespace atcoder; constexpr ll mod = mod998; using mint = static_modint; istream& operator >>(istream& s, mint& m) { ll y; s >> y; m = y; return s; } istream& operator >>(istream& s, vector& v) { for (auto& e : v) { ll y; s >> y; e = y; } return s; } ostream& operator <<(ostream& s, const mint& m) { return s << m.val(); } ostream& operator <<(ostream& s, const vector& v) { for (auto& e : v) s << e.val() << ' '; return s; } void debug_out(const char*) { cerr << "\n"; } template void debug_out(const char* names, T value, Args... args) { while (*names == ' ') ++names; const char* comma = strchr(names, ','); if (!comma) { cerr << names << ":" << value << "\n"; } else { cerr.write(names, comma - names) << ":" << value << ", "; debug_out(comma + 1, args...); } } vector fac, inv, facinv; void modcalc(int n) { assert(fac.empty()); assert(inv.empty()); assert(facinv.empty()); fac.resize(n); inv.resize(n); facinv.resize(n); fac[0] = 1; fac[1] = 1; inv[1] = 1; facinv[0] = 1; facinv[1] = 1; for (ll i = 2; i < n; i++) { fac[i] = fac[i - 1] * i; inv[i] = -inv[mod % i] * (mod / i); facinv[i] = facinv[i - 1] * inv[i]; } } mint comb(ll n, ll k) { if (n < 0 or k < 0 or n < k) return 0; return fac[n] * facinv[k] * facinv[n - k]; } mint perm(ll n, ll k) { if (n < 0 or k < 0 or n < k) return 0; return fac[n] * facinv[n - k]; } mint hom(ll n, ll k) { if (n < 0 or k < 0 or (n == 0 && k > 0)) return 0; if (n == 0 && k == 0) return 1; return fac[n + k - 1] * facinv[k] * facinv[n - 1]; } vector bfs(int s, vector>& G) { int n = ssize(G); queue que; que.push(s); vector d(n, inf); d[s] = 0; while (!que.empty()) { int q = que.front(); que.pop(); for (int v : G[q]) { if (d[v] == inf) { d[v] = d[q] + 1; que.push(v); } } } return d; } vector dijkstra(int s, vector>>& G) { int n = ssize(G); vector d(n, INF); d[s] = 0; pri_s> pq; pq.push({ 0, s }); while (!pq.empty()) { auto [cost, v] = pq.top(); pq.pop(); if (d[v] < cost) continue; for (auto [nv, ncost] : G[v]) if (chmin(d[nv], d[v] + ncost)) pq.push({ d[nv], nv }); } return d; } // 負閉路なし vector> APSP(vector>>& G) { int n = ssize(G); vector pot(n); rep(_, n) { bool upd = false; rep(v, n) for (auto& [u, w] : G[v]) { if (chmin(pot[u], pot[v] + w)) upd = true; } if (!upd) break; } rep(v, n) for (auto& [u, w] : G[v]) w += pot[v] - pot[u]; vector d(n, vector()); rep(i, n) d[i] = dijkstra(i, G); rep(i, n) rep(j, n) d[i][j] += pot[j] - pot[i]; return d; } int main() { [[maybe_unused]] bool DEBUG = false; int TEST = 1; // cin >> TEST; while (TEST--) { int n, m; cin >> n >> m; vector p(n); cin >> p; vector G(n, vector>()); rep(_, m) { int u, v, w; cin >> u >> v >> w; u--; v--; G[u].push_back({ v, w }); } auto d = APSP(G); auto f = [&](int i, int j) {return d[i][j] + p[i] + p[j]; }; ll mn = INF, c = 0; rep(i, n) rep(j, n) { if (i == j) continue; ll w = f(i, j); if (mn == w) c++; else if (chmin(mn, w)) c = 1; } cout << mn << ' ' << c << '\n'; } }