#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#define _GLIBCXX_DEBUG
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
ll ILL=1167167167167167167;
const int INF=2100000000;
const ll mod=998244353;
#define rep(i,a) for (ll i=0;i<a;i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}

ll S(vector<int> &p){
	int ans=0;
	for(auto x:p) ans+=x;
	return ans;
}

vector<int> f(vector<int> p,vector<int> q){
	for(auto x:q) p.push_back(x);
	Sore(p);
	p.resize(3);
	return p;
}

void solve();
// oddloop
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int t=1;
	//cin>>t;
	rep(i,t) solve();
}

void solve(){
	int N,M;
	cin>>N>>M;
	vector<vector<int>> G(N);
	rep(i,M){
		int u,v;
		cin>>u>>v;
		u--,v--;
		G[u].push_back(v);
		G[v].push_back(u);
	}
	vector<vector<int>> A(N,vector<int>(3));
	rep(i,N) rep(j,3) cin>>A[i][j];
	So(A[0]);
	int l=S(A[0])-2,r=INF/2;
	while(r-l>1){
		int med=(r+l)/2;
		vector<int> have={1,1,med};
		vector<int> seen(N);
		seen[0]=1;
		_pq<pair<int,int>> pq;
		pq.push({0,0});
		int J=1;
		while(!pq.empty()){
			if(S(have)<=pq.top().first) break;
			int ind,v;
			tie(v,ind)=pq.top();
			if(J==-1) have=f(have,A[ind]);
			else if(J==0){
				have=f({1,1,med},A[0]);
				have=f(have,A[ind]);
				J=-1;
			}else{
				have[0]=A[0][2];
				J=0;
			}
			pq.pop();
			seen[ind]=2;
			for(auto x:G[ind]){
				if(seen[x]==0) pq.push({S(A[x]),x}),seen[x]=1;
			}
		}
		if(seen[N-1]==2) r=med;
		else l=med;
	}
	cout<<"1 1 "<<r<<"\n";
}