Example

Input

2 10
Warsaw Petersburg
3
Kiev Moscow Petersburg
150 120
3
Moscow Minsk Warsaw
100 150


Output

380 1
#include <bits/stdc++.h>
using namespace std;

#define dump(n) cout<<"# "<<#n<<'='<<(n)<<endl
#define repi(i,a,b) for(int i=int(a);i<int(b);i++)
#define peri(i,a,b) for(int i=int(b);i-->int(a);)
#define rep(i,n) repi(i,0,n)
#define per(i,n) peri(i,0,n)
#define all(c) begin(c),end(c)
#define mp make_pair
#define mt make_tuple

typedef unsigned int uint;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<vd> vvd;
typedef vector<string> vs;

const ll INF=1e18;
const int MOD=1e9+7;
const double EPS=1e-9;

template<typename T1,typename T2>
ostream& operator<<(ostream& os,const pair<T1,T2>& p){
	return os<<'('<<p.first<<','<<p.second<<')';
}
template<typename T>
ostream& operator<<(ostream& os,const vector<T>& a){
	os<<'[';
	rep(i,a.size()) os<<(i?" ":"")<<a[i];
	return os<<']';
}

struct Edge{
	int src,dst;
	ll weight;
	Edge(){}
	Edge(int s,int d,ll w):src(s),dst(d),weight(w){}
};
typedef vector<vector<Edge>> Graph;
bool operator<(const Edge& a,const Edge& b){return a.weight<b.weight;}
bool operator>(const Edge& a,const Edge& b){return a.weight>b.weight;}

void Dijkstra(const Graph& g,int v,vl& dist)
{
	priority_queue<Edge,vector<Edge>,greater<Edge>> pq;
	pq.emplace(-1,v,0);
	while(pq.size()){
		Edge cur=pq.top(); pq.pop();
		if(dist[cur.dst]!=INF) continue;
		dist[cur.dst]=cur.weight;
		for(Edge e:g[cur.dst])
			pq.emplace(e.src,e.dst,cur.weight+e.weight);
	}
}

string to_string(int x)
{
	ostringstream oss; oss<<x;
	return oss.str();
}

int main()
{
	for(int n,t;cin>>n>>t && n|t;){
		string src,dst; cin>>src>>dst;
		map<string,int> ntoi,freq;
		vector<Edge> es;
		rep(i,n){
			int m; cin>>m;
			vs ss(m); rep(j,m) cin>>ss[j];
			vi ds(m-1); rep(j,m-1) cin>>ds[j];
			for(auto& s:ss){
				if(!ntoi.count(s)) ntoi.insert(mp(s,ntoi.size()));
				int u=ntoi[s];
				s+=to_string(++freq[s]);
				ntoi.insert(mp(s,ntoi.size()));
				int v=ntoi[s];
				es.emplace_back(u,v,50000ll*t+1);
				es.emplace_back(v,u,50000ll*t+1);
			}
			rep(i,m-1){
				int u=ntoi[ss[i]],v=ntoi[ss[i+1]];
				es.emplace_back(u,v,100000ll*ds[i]);
				es.emplace_back(v,u,100000ll*ds[i]);
			}
		}
		
		assert(ntoi.count(src));
		assert(ntoi.count(dst));
		
		//for(auto p:ntoi) dump(p);
		//for(auto e:es) cout<<e.src<<' '<<e.dst<<' '<<e.weight<<endl;
		
		n=ntoi.size();
		Graph g(n);
		for(auto e:es) g[e.src].emplace_back(e.src,e.dst,e.weight);
		vl dist(n,INF);
		Dijkstra(g,ntoi[src],dist);
		
		ll d=dist[ntoi[dst]];
		if(d==INF){
			cout<<-1<<endl;
			continue;
		}
		int res=d/100000-t;
		int trans=(d%100000-2)/2;
		cout<<res<<' '<<trans<<endl;
	}
}