#include #include using namespace std; int main() { int N, M; cin >> N >> M; vector> V(N); for (int i = 0; i < M; i++) { int u, v; scanf("%d%d", &u, &v); V[u - 1].push_back(v - 1); V[v - 1].push_back(u - 1); } vector> ABC(N); for (auto &[a, b, c] : ABC) cin >> a >> b >> c; auto can = [&](int x) { // at least, can you go out? { auto [a, b, c] = ABC[0]; if (a + b + c >= x + 2) return false; int nx = x + max({a, b, c}) + 1; int minv = 1e9; for (auto u : V[0]) { auto [a, b, c] = ABC[u]; minv = min(minv, a + b + c); } if (minv >= nx) return false; } tuple cur = {x, 1, 1}; using pii = pair; priority_queue, greater> Q; vector vis(N, 0); auto [a, b, c] = ABC[0]; Q.emplace(a + b + c, 0); while (!Q.empty()) { auto [w, u] = Q.top(); Q.pop(); if (vis[u]) continue; vis[u] = true; auto [ca, cb, cc] = cur; if (w >= ca + cb + cc) return false; if (u == N - 1) return true; auto [xx, yy, zz] = ABC[u]; int cs[6] = {ca, cb, cc, xx, yy, zz}; sort(cs, cs + 6); cur = {cs[5], cs[4], cs[3]}; for (auto x : V[u]) { auto [a, b, c] = ABC[x]; Q.emplace(a + b + c, x); } } return false; }; int ng = 0; int ok = 300'000'000; while (ng + 1 != ok) { int mi = (ng + ok) / 2; if (can(mi)) ok = mi; else ng = mi; } cout << ok << " " << 1 << " " << 1 << endl; }