#include <bits/stdc++.h>

using i64 = long long;

int main() {
	int n, m; scanf("%d%d", &n, &m);
	std::vector<int> u(m), v(m), a(n), b(n), c(n);
	std::vector<std::vector<int>> g(n);
	for(int i = 0; i < m; i++) {
		scanf("%d%d", &u[i], &v[i]); u[i]--; v[i]--;

		g[u[i]].push_back(v[i]);
		g[v[i]].push_back(u[i]);
	}
	for(int i = 0; i < n; i++) scanf("%d%d%d", &a[i], &b[i], &c[i]);

	if(n == 1) {
		// no case exist
	}

	std::vector<i64> d(n);
	for(int i = 0; i < n; i++) d[i] = (i64)a[i] + b[i] + c[i];

	for(int i = 0; i < n; i++) {
		int min = std::min({a[i], b[i], c[i]});
		int max = std::max({a[i], b[i], c[i]});
		a[i] = min;
		b[i] = d[i] - min - max;
		c[i] = max;
	}

	int min_v = g[0][0];
	for(auto v: g[0]) {
		if(d[v] < d[min_v]) min_v = v;
	}

	auto f = [&](i64 t) -> bool {
		i64 A = 1, B = 1, C = t;
		if(d[0] >= A + B + C) return false;

		auto update = [&](int x) {
			if(C < x) {
				A = B;
				B = C;
				C = x;
			} else if(B < x) {
				A = B;
				B = x;
			} else if(A < x) {
				A = x;
			}
		};

		update(c[0]);

		if(d[min_v] >= A + B + C) return false;

		using P = std::pair<i64, int>;
		std::priority_queue<P, std::vector<P>, std::greater<>> qu;
		qu.push({d[0], 0});

		std::vector<int> used(n); used[0] = true;
		while(!qu.empty()) {
			auto [sum, v] = qu.top(); qu.pop();
			if(sum >= A + B + C) return false;
			if(v == n - 1) return true;

			update(a[v]);
			update(b[v]);
			update(c[v]);

			for(int to: g[v]) {
				if(used[to]) continue; used[to] = true;

				qu.push({d[to], to});
			}
		}
		return false;
	};

	i64 ng = 1, ok = 3'000'000'000LL;
	while(ok - ng > 1) {
		i64 mid = ng + (ok - ng) / 2;

		if(f(mid)) ok = mid;
		else ng = mid;
	}

	printf("1 1 %lld\n", ok);
	return 0;
}