#include <bits/stdc++.h>
using namespace std;

int main() {
    int N,M;
    cin >> N >> M;
    vector<vector<int>>road(N);
    for(int i = 0; i < M; i++) {
        int U,V;
        cin >> U >> V;
        U--;
        V--;
        road[U].push_back(V);
        road[V].push_back(U);
    }
    vector<vector<int>>C(N,vector<int>(3));
    for(int i = 0; i < N; i++) {
        cin >> C[i][0] >> C[i][1] >> C[i][2];
        sort(C[i].rbegin(),C[i].rend());
    }
    int l = C[0][0]+C[0][1]+C[0][2]-1,r = 1001001001;
    while (l+1 < r) {
        int mid = (l+r)/2;
        vector<int>dist(N,-1);
        dist[0] = 0;
        int a = mid-2,b = C[0][0],c = 1;
        queue<int>que;
        que.push(0);
        priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>>que2;
        while (!que.empty()) {
            int x = que.front();
            que.pop();
            for(int i:road[x]) {
                if(dist[i] == -1) {
                    que2.push({C[i][0]+C[i][1]+C[i][2],i});
                }
            }
            while (!que2.empty()) {
                pair<int,int> x = que2.top();
                if(x.first < a+b+c) {
                    if(c == 1) {
                        c = C[0][1];
                    }
                    que2.pop();
                    dist[x.second] = 0;
                    que.push(x.second);
                    for(int i = 0; i < 3; i++) {
                        if(c < C[x.second][i]) {
                            c = C[x.second][i];
                        }
                        else if(b < C[x.second][i]) {
                            b = C[x.second][i];
                        }
                        else if(a < C[x.second][i]) {
                            a = C[x.second][i];
                        }
                    }
                }
                else {
                    break;
                }
            }
        }
        if(dist[N-1] != -1) {
            r = mid;
        }
        else {
            l = mid;
        }
    }
    cout << r-2 << " " << 1 << " " << 1 << endl;
}