#include using namespace boost::multiprecision; using u512 = boost::multiprecision::uint512_t; #include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; constexpr auto INF = u512(1) << 511; vector dijkstra(const auto& to, int s = 0) { struct QueElem { int v; u512 d; bool operator<(const QueElem& a) const { return d > a.d; } QueElem(int v, u512 d) : v(v), d(d) {} }; priority_queue q; vector dist(to.size(), INF); dist[s] = 0; q.emplace(s, 0); while (!q.empty()) { auto [u, d] = q.top(); q.pop(); if (d > dist[u]) continue; for (auto [v, dv] : to[u]) { u512 nd = d + dv; if (nd < dist[v]) { dist[v] = nd; q.emplace(v, nd); } } } return dist; } } int main() { ios::sync_with_stdio(false); cin.tie(0); u512 q = 1; for (int i = 1; i <= 300; i++) q = lcm(q, i); int n, m; cin >> n >> m; vector>> to(n); rep(_, m) { int u, v, a, b; cin >> u >> v >> a >> b; u--, v--; u512 w = q / b * a; to[u].emplace_back(v, w); to[v].emplace_back(u, w); } auto dist = dijkstra(to); rep(i, n) if (i) { auto p = dist[i]; auto g = gcd(p, q); cout << p / g << ' ' << q / g << '\n'; } }