#include <iostream>
#include <cstdio>
#define ll long long
using namespace std;
int n,t;
ll dp[1010][12],a[12][12][33];
int c[12][12];
int main(){
//freopen("590","r",stdin);
int cas=1;
while(cin>>n>>t){
if(n==0&&t==0) break;
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
if(i==j) continue;
cin>>c[i][j];
for(int k=0;k<c[i][j];k++){
cin>>a[i][j][k];
}
}
}
for(int i=0;i<1010;i++){
for(int j=0;j<12;j++){
dp[i][j]=(ll)1e16;
}
}
dp[0][1]=0;
for(int i=1;i<=t;i++){
for(int j=1;j<=n;j++){
for(int k=1;k<=n;k++){
//cout<<j<<" "<<k<<endl;
if(j==k||a[j][k][(i-1)%c[j][k]]==0) continue;
dp[i][k]=min(dp[i][k],dp[i-1][j]+a[j][k][(i-1)%c[j][k]]);
}
}
}
printf("Scenario #%d\n",cas++);
if(dp[t][n]==(ll)1e16) printf("No flight possible.\n");
else printf("The best flight costs %lld.\n",dp[t][n]);
puts("");
}
return 0;
}