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 rep(i, n) for(int i = 0; i < (n); i++)
#define repp(i, l, r) for(int i = (l); i < (r); i++)
#define per(i, n) for(int i = ((n)-1); i >= 0; i--)
#define perr(i, l, r) for(int i = ((r)-1); i >= (l); i--)
#define all(x) (x).begin(),(x).end()
#define MOD 1000000007
#define IINF 1000000000
#define LINF 1000000000000000000
#define SP <<" "<<
#define CYES cout<<"Yes"<<endl
#define CNO cout<<"No"<<endl
#define CFS cin.tie(0);ios::sync_with_stdio(false)

typedef long long LL;
typedef long double LD;

struct sta{
  int id;
  int pos;
  pair<LL,LL> d;
};

int main(){
  int n,t;
  cin >> n >> t;
  map<string,int> mp;
  vector<vector<string>> name(n);
  vector<vector<int>> time(n);
  vector<vector<pair<int,int>>> id(n);
  string a,b;
  cin >> a >> b;
  int k;
  rep(i,n){
    cin >> k;
    name[i]=vector<string>(k);
    id[i]=vector<pair<int,int>>(k);
    time[i]=vector<int>(k-1);
    rep(j,k){
      cin >> name[i][j];
      mp[name[i][j]]=-1;
    }
    rep(j,k-1){
      cin >> time[i][j];
    }
  }
  int sn = 0;
  for(auto &p:mp) p.second=(sn++);
  int from=mp[a], to=mp[b];
  vector<int> count(sn,0);
  rep(i,n){
    rep(j,id[i].size()){
      int x = mp[name[i][j]];
      id[i][j]={x,count[x]};
      count[x]++;
    }
  }
  vector<vector<pair<int,int>>> ro(sn);
  rep(i,sn){
    ro[i]=vector<pair<int,int>>(count[i]);
  }
  rep(i,n){
    rep(j,id[i].size()){
      ro[id[i][j].first][id[i][j].second]={i,j};
    }
  }
  vector<vector<pair<LL,LL>>> dist(sn);
  rep(i,sn){
    dist[i]=vector<pair<LL,LL>>(count[i],{LINF,LINF});
  }
  vector<bool> norikae(sn,false);
  priority_queue<sta,vector<sta>,function<bool(sta,sta)>>
    heap([](const sta &a, const sta &b){return a.d>b.d;});
  rep(i,count[from]) heap.push({from,i,{0,0}});

  pair<LL,LL> ans={LINF,LINF};
  while(!heap.empty()){
    sta now = heap.top();
    heap.pop();
    if(dist[now.id][now.pos].first!=LINF) continue;
    dist[now.id][now.pos]=now.d;
    if(now.id==to) ans=min(ans,now.d);
    if(!norikae[now.id]){
      norikae[now.id]=true;
      rep(i,count[now.id]){
        if(dist[now.id][i].first==LINF)
        heap.push({now.id,i,{now.d.first+t,now.d.second+1}});
      }
    }
    auto p = ro[now.id][now.pos];
    if(p.second>0){
      auto nxp = id[p.first][p.second-1];
      LL ds = time[p.first][p.second-1];
      if(dist[nxp.first][nxp.second].first==LINF)
      heap.push({nxp.first,nxp.second,{now.d.first+ds,now.d.second}});
    }
    if(p.second<id[p.first].size()-1){
      auto nxp = id[p.first][p.second+1];
      LL ds = time[p.first][p.second];
      if(dist[nxp.first][nxp.second].first==LINF)
      heap.push({nxp.first,nxp.second,{now.d.first+ds,now.d.second}});
    }
  }
  if(ans.first==LINF) cout << -1 << endl;
  else cout << ans.first SP ans.second << endl;
  return 0;
}

