#include <cstdio>
#include <algorithm>
#include <stack>
#include <queue>
#include <deque>
#include <vector>
#include <string>
#include <string.h>
#include <cstdlib>
#include <ctime>
#include <cmath>
#include <map>
#include <set>
#include <iostream>
#include <sstream>
#include <numeric>
#include <cctype>
#include <bitset>
#define fi first
#define se second
#define rep(i,n) for(int i = 0; i < (n); ++i)
#define rrep(i,n) for(int i = 1; i <= (n); ++i)
#define drep(i,n) for(int i = (n)-1; i >= 0; --i)
#define gep(i,g,j) for(int i = g.head[j]; i != -1; i = g.e[i].next)
#define each(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();it++)
#define rng(a) a.begin(),a.end()
#define maxs(x,y) x = max(x,y)
#define mins(x,y) x = min(x,y)
#define pb push_back
#define sz(x) (int)(x).size()
#define pcnt __builtin_popcount
#define snuke srand((unsigned)clock()+(unsigned)time(NULL));
#define df(x) int x = in()
using namespace std;
typedef long long int ll;
typedef pair<int,int> P;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<P> vp;
inline int in() { int x; scanf("%d",&x); return x;}
inline void priv(vi a) { rep(i,sz(a)) printf("%d%c",a[i],i==sz(a)-1?'\n':' ');}
const int MX = 25305, INF = 1001001001;
const ll LINF = 1e18;
const double eps = 1e-10;
int n, m, sv, tv;
vi to[MX], co[MX];
vi eto[MX], eco[MX];
vi dist;
bool f(int c) {
vi ds(n,INF);
ds[sv] = 0;
priority_queue<P,vp,greater<P>> q;
q.push(P(0,sv));
while (sz(q)) {
P p = q.top(); q.pop();
int d = p.fi;
int v = p.se;
if (ds[v] < d) continue;
rep(i,sz(to[v])) {
int u = to[v][i];
int nd = d+co[v][i];
int eu = eto[v][i];
int ed = d+eco[v][i]+dist[eu];
if (ed <= c && nd < ds[u]) {
ds[u] = nd;
q.push(P(nd,u));
}
}
}
return ds[tv] <= c;
}
int main() {
scanf("%d%d%d%d",&n,&m,&sv,&tv);
rep(mi,m) {
int l;
scanf("%d",&l);
vi v(l);
rep(i,l) scanf("%d",&v[i]);
vi c(l-1);
rep(i,l-1) scanf("%d",&c[i]);
int sum = 0;
int tot = 0;
rep(i,l-1) tot += c[i];
rep(i,l-1) {
int a = v[i], b = v[i+1];
to[a].pb(b); co[a].pb(c[i]);
to[b].pb(a); co[b].pb(c[i]);
eto[a].pb(v.back()); eco[a].pb(tot-sum);
sum += c[i];
eto[b].pb(v[0]); eco[b].pb(sum);
}
}
dist = vi(n,INF);
dist[tv] = 0;
priority_queue<P,vp,greater<P>> q;
q.push(P(0,tv));
while (sz(q)) {
P p = q.top(); q.pop();
int d = p.fi;
int v = p.se;
if (dist[v] < d) continue;
rep(i,sz(to[v])) {
int u = to[v][i];
int nd = d+co[v][i];
if (nd < dist[u]) {
dist[u] = nd;
q.push(P(nd,u));
}
}
}
// priv(dist);
// cout<<f(6)<<endl; return 0;
int l = 0, r = INF;
while (l+1<r) {
int c = (l+r)>>1;
if (f(c)) r = c; else l = c;
}
cout<<r<<endl;
return 0;
}