dp
//感谢rqy大佬qwqqq
#include<iostream>
#include<cstdio>
#define qwq register
using namespace std;
double p[10001],f[2001][2001],dp[2001][2001][2];
int a[2001][2001],c[20001],d[20001];
inline double min(double a,double b){
return a<b?a:b;
}
inline int qread(){
int k = 0;
char c;
c = getchar();
while(!isdigit(c))c = getchar();
while(isdigit(c)){
k = (k<<1)+(k<<3)+c-48;
c = getchar();
}
return k ;
}
int main()
{
int n,m,v,e,a1,b1,c1;
cin>>n>>m>>v>>e;
for(qwq int i=1;i<=n;i++)c[i]=qread();
for(qwq int i=1;i<=n;i++)d[i]=qread();
for(qwq int i=1;i<=n;i++)cin>>p[i];
for(qwq int i=1;i<=v;i++)
for(qwq int j=1;j<i;j++)
f[i][j]=f[j][i]=999999999;
for(qwq int i=1;i<=e;i++){
a1=qread(),b1=qread(),c1=qread();
f[a1][b1]=f[b1][a1]=min(f[a1][b1],c1);
}
for(qwq int k=1;k<=v;k++)
for(qwq int i=1;i<=v;i++)
for(qwq int j=1;j<i;j++)
if(f[i][k]+f[k][j]<f[i][j])
f[i][j]=f[j][i]=f[i][k]+f[k][j];
for(qwq int i=1;i<=n;i++)
for(qwq int j=0;j<=m;j++)
dp[i][j][0]=dp[i][j][1]=999999999;
dp[1][0][0]=dp[1][1][1]=0;
for(qwq int i=2;i<=n;i++){
double add1=f[c[i-1]][c[i]];
for(qwq int j=0;j<=min(m,i);j++)
{
dp[i][j][0]=min(dp[i-1][j][0]+add1,dp[i-1][j][1]+f[d[i-1]][c[i]]*p[i-1]+f[c[i-1]][c[i]]*(1-p[i-1]));
if(j!=0)
dp[i][j][1]=min(dp[i-1][j-1][0]+f[c[i-1]][d[i]]*p[i]+f[c[i-1]][c[i]]*(1-p[i]),dp[i-1][j-1][1]+f[c[i-1]][c[i]]*(1-p[i-1])*(1-p[i])+f[c[i-1]][d[i]]*(1-p[i-1])*p[i]+f[d[i-1]][c[i]]*(1-p[i])*p[i-1]+f[d[i-1]][d[i]]*p[i-1]*p[i]);
}
}
double hahaha=9999999999;
for(int i=0;i<=m;i++){
hahaha=min(dp[n][i][0],min(dp[n][i][1],hahaha));}
printf("%.2lf",hahaha);
}
原文:https://www.cnblogs.com/ainiyuling/p/11505712.html