#include<bits/stdc++.h> using namespace std; const int N=2005; const double maxi=800050000; int n,m,v,e; int c[N][2]; double k[N]; double d[N][N]; double f[N][N][2]; int read(){ int sum=0,f=1; char ch=getchar(); while(ch>'9'||ch<'0') { if(ch=='-')f=-1; ch=getchar(); } while(ch>='0'&&ch<='9') { sum=(sum<<3)+(sum<<1)+ch-'0'; ch=getchar(); } return sum*f; } int main(){ // freopen("classroom.in","r",stdin); // freopen("classroom.out","w",stdout); n=read(); m=read(); v=read(); e=read(); for(int i=1;i<=n;i++) c[i][0]=read(); for(int i=1;i<=n;i++) c[i][1]=read(); for(int i=1;i<=n;i++) scanf("%lf",&k[i]); for(int i=1;i<=v;i++) for(int j=1;j<i;j++) d[i][j]=d[j][i]=maxi; int x,y; double w; for(int i=1;i<=e;i++) { x=read(); y=read(); scanf("%lf",&w); if(w<d[x][y])d[x][y]=d[y][x]=w; } for(int t=1;t<=v;t++) for(int i=1;i<=v;i++) for(int j=1;j<i;j++) if(d[i][j]>d[i][t]+d[t][j]) d[i][j]=d[j][i]=d[i][t]+d[t][j]; for(int i=1;i<=n;i++) for(int j=0;j<=m;j++) f[i][j][0]=f[i][j][1]=maxi; f[1][0][0]=0; f[1][1][1]=0; for(int i=2;i<=n;i++) for(int j=0;j<=m;j++) { f[i][j][0]=min(f[i][j][0],f[i-1][j][1]+k[i-1]*d[c[i-1][1]][c[i][0]]+(1-k[i-1])*d[c[i-1][0]][c[i][0]]); f[i][j][0]=min(f[i][j][0],f[i-1][j][0]+d[c[i-1][0]][c[i][0]]); if(j!=0){ f[i][j][1]=min(f[i][j][1],f[i-1][j-1][0]+k[i]*d[c[i-1][0]][c[i][1]]+(1-k[i])*d[c[i-1][0]][c[i][0]]); f[i][j][1]=min(f[i][j][1],f[i-1][j-1][1]+k[i]*k[i-1]*d[c[i-1][1]][c[i][1]]+k[i]*(1-k[i-1])*d[c[i-1][0]][c[i][1]]+(1-k[i])*k[i-1]*d[c[i-1][1]][c[i][0]]+(1-k[i])*(1-k[i-1])*d[c[i-1][0]][c[i][0]]); } } double ans=maxi; for(int j=0;j<=m;j++) for(int t=0;t<2;t++) { ans=min(ans,f[n][j][t]); } printf("%.2lf",ans); return 0; } /************************************************************** Problem: 2349 User: admin Language: C++ Result: Accepted Time:955 ms Memory:96328 kb ****************************************************************/