//#define NDEBUG #pragma warning(disable : 4146) #include #include #include #include #include #include #include #include #include #include namespace n91 { using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; using f64 = double; struct rep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr rep(const usize f, const usize l) noexcept : f(std::min(f, l)), l(l) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; struct revrep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr revrep(const usize f, const usize l) noexcept : f(l - 1), l(std::min(f, l) - 1) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; template auto md_vec(const usize n, const T &value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T &a, const T &b) noexcept { return a < b ? b - a : a - b; } template void chmin(T &a, const T &b) noexcept { if (b < a) a = b; } template void chmax(T &a, const T &b) noexcept { if (a < b) a = b; } template class rec_lambda { F f; public: rec_lambda(F &&f_) : f(std::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; template T scan() { T ret; std::cin >> ret; return ret; } constexpr char eoln = '\n'; i64 floor_div(const i64 n, const i64 d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } i64 ceil_div(const i64 n, const i64 d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } #ifdef N91_LOCAL #define OJ_LOCAL(a, b) b #else #define OJ_LOCAL(a, b) a #endif } // namespace n91 #include #include namespace binary_search_impl { using i64 = std::int64_t; template i64 binary_search(F f, i64 left, i64 right) { assert(left <= right); while (left != right) { const i64 mid = left + (right - left) / 2; if (f(mid)) { left = mid + 1; } else { right = mid; } } return left; } } // namespace binary_search_impl // first false using binary_search_impl::binary_search; #include #include namespace n91 { void main_() { const usize n = scan(); const usize m = scan(); auto g = md_vec(2 * n, 0, usize()); for (const usize i : rep(0, m)) { usize u = scan() - 1; usize v = scan() - 1; std::tie(u, v) = std::minmax({u, v}); if (u == 0) { g[0].push_back(v); g[v].push_back(n); } else { g[u].push_back(v); g[v].push_back(u); } } for (const usize i : rep(1, n)) { g[i].push_back(n + i); } std::vector> c(2 * n); for (const usize i : rep(0, n)) { for (const usize j : rep(0, 3)) { std::cin >> c[i][j]; } std::sort(c[i].begin(), c[i].end() - 1); c[i][3] = c[i][2]; c[n + i] = c[i]; c[n + i][3] = c[n + i][1]; } const auto fail = [&](u32 x) -> bool { struct node { usize v; u32 w; bool operator<(const node &r) const { return w > r.w; } }; std::priority_queue que; std::vector visited(2 * n, false); const auto push = [&](const usize v) { if (!visited[v]) { visited[v] = true; que.push({v, c[v][0] + c[v][1] + c[v][2]}); } }; std::array d = {x, 1, 1}; push(0); while (!que.empty()) { const auto [v, w] = que.top(); que.pop(); if (d[0] + d[1] + d[2] <= w) { return true; } if (v == n - 1) { return false; } { u32 t = c[v][3]; for (auto &e : d) { std::tie(t, e) = std::minmax({t, e}); } } for (const usize u : g[v]) { push(u); } } assert(false); return true; }; const u32 res = binary_search(fail, 1, 3e8); std::cout << res << " " << 1 << " " << 1 << eoln; } } // namespace n91 int main() { //* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ std::cout << std::fixed << std::setprecision(20); n91::main_(); return 0; }