#include <bits/stdc++.h>
using namespace std;
constexpr int N = 3007;
int n, m;
int g[N][N];
int dist[N];
bool st[N];
int fa[N];
vector<int> g2[N];
void dijkstra(int Start) {
memset(dist, 0x3f, sizeof(dist));
memset(st, false, sizeof(st));
dist[Start] = 0;
for (int i = 0; i < n - 1; i++) {
int t = -1;
for (int j = 1; j <= n; j++) {
if (!st[j] && (t == -1 || dist[t] > dist[j]) && fa[j] == 0) t = j;
}
st[t] = true;
for(auto it:g2[t]){
fa[it]--;
}
for (int j = 1; j <= n; j++) {
dist[j] = min(dist[j], dist[t] + g[t][j]);
}
}
}
int main() {
cin >> n >> m;
memset(g, 0x3f, sizeof(g));
for (int i = 0; i < m; i++) {
int u, v, w;
cin >> u >> v >> w;
if(u == v) continue;
g[u][v] = min(g[u][v], w);
}
for(int i = 1;i<=n;i++){
cin >> fa[i];
for(int j = 1;j<=fa[i];j++){
int l;
cin >> l;
g2[l].push_back(i);
}
}
dijkstra(1);
cout << dist[n] << "\n";
return 0;
}
求调