#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; const int MOD = 1000000007; // const int MOD = 998244353; template struct Graph { struct edge { int to, id; edge(int to, int id) : to(to), id(id) {} }; vector> es; const int n; int m; vector a, b, c; Graph(int n) : es(n), n(n), m(0), a(n), b(n), c(n) {} void add_edge(int from, int to) { es[from].emplace_back(to, m); if (!directed) es[to].emplace_back(from, m); m++; } void read() { int M; cin >> M; rep(i, M) { int u, v; cin >> u >> v; u--, v--; add_edge(u, v); } rep(i, n) cin >> a[i] >> b[i] >> c[i]; } void absolve(int a, int b, int c, int &x, int &y, int &z) { vector u = {a, b, c}, v = {x, y, z}; sort(all(v)); rep(i, 3) { int t = max_element(all(u)) - begin(u); if (u[t] > v[i]) swap(u[t], v[i]); } x = v[0], y = v[1], z = v[2]; } bool judge(int x, int y, int z) { if (x + y + z <= a[0] + b[0] + c[0]) return false; priority_queue, greater> que; int s = x + y + z; int d = max({a[0], b[0], c[0]}) - min({x, y, z}); s += d; vector used(n, false); used[0] = true; each(e, es[0]) { if (used[e.to]) continue; used[e.to] = true; que.emplace(a[e.to] + b[e.to] + c[e.to], e.to); } bool fi = true; while (!empty(que)) { auto [t, i] = que.top(); que.pop(); // cout << i << ' ' << x << ' ' << y << ' ' << z << '\n'; if (s <= t) return false; if (i == n - 1) return true; if (fi) absolve(a[0], b[0], c[0], x, y, z); fi = false; absolve(a[i], b[i], c[i], x, y, z); s = x + y + z; each(e, es[i]) { if (used[e.to]) continue; used[e.to] = true; que.emplace(a[e.to] + b[e.to] + c[e.to], e.to); } } return true; } void solve() { read(); int x, y, z, s = inf; // judge(1, 13, 1); { int L = 0, R = inf; // (l, r] while (R - L > 1) { int M = (L + R) / 2; (judge(M, 1, 1) ? R : L) = M; } if (chmin(s, R + 2)) x = R, y = 1, z = 1; // cout << R << ' ' << 1 << ' ' << 1 << '\n'; } { int L = 0, R = inf; // (l, r] while (R - L > 1) { int M = (L + R) / 2; (judge(1, M, 1) ? R : L) = M; } if (chmin(s, R + 2)) x = 1, y = R, z = 1; // cout << 1 << ' ' << R << ' ' << 1 << '\n'; } { int L = 0, R = inf; // (l, r] while (R - L > 1) { int M = (L + R) / 2; (judge(1, 1, M) ? R : L) = M; } if (chmin(s, R + 2)) x = 1, y = 1, z = R; // cout << 1 << ' ' << 1 << ' ' << R << '\n'; } cout << x << ' ' << y << ' ' << z << '\n'; } }; int main() { int N; cin >> N; Graph G(N); G.solve(); }