題目連接:hdu5711
這題是 HDU 女生賽最後一題,TSP+貪心,確實不好想,看了wkc巨巨的題解,然後再做的
題解傳送門:Ingress
#include<cstdio>
#include<queue>
#include<algorithm>
#define F(i,a,b) for(int i=a;i<=b;i++)
using namespace std;
typedef pair<int,int> P;
inline void up(int &x,int y){if(x>y)x=y;}
int ic=1,t,n,m,ans,k,en,l,u,v,c,inf=1e9+7;
int a[20],b[20],g[20][20],dp[1<<16][17],vis[1<<16];
int main(){
scanf("%d",&t);
while(t--){
scanf("%d%d%d%d",&n,&m,&k,&l);en=(1<<n)-1;
F(i,0,n)F(j,0,n)g[i][j]=(i==j?0:inf);
F(i,0,en)F(j,0,n)dp[i][j]=inf;
F(i,0,en)vis[i]=0;
F(i,1,n)scanf("%d",a+i);
F(i,1,n)scanf("%d",b+i);
F(i,1,m)scanf("%d%d%d",&u,&v,&c),up(g[u][v],c),up(g[v][u],c);
F(kk,0,n)F(i,0,n)F(j,0,n)up(g[i][j],g[i][kk]+g[kk][j]);//Floyd
dp[0][0]=0,ans=0;
F(i,0,en){
F(j,0,n)if(dp[i][j]<=l){
if(dp[i][j]+g[j][0]<=l)vis[i]=1;
F(q,1,n)if(q==j||i&1<<q-1)continue;
else up(dp[i|1<<q-1][q],dp[i][j]+g[j][q]);
}
if(vis[i]){
priority_queue<P>Q;
F(j,1,n)if(i&1<<j-1)Q.push(P(a[j],b[j]));
if(Q.empty())continue;
int tmp=0;
F(j,1,k){
tmp+=Q.top().first;
Q.push(P(max(Q.top().first-Q.top().second,0),Q.top().second));
Q.pop();
}
ans=max(ans,tmp);
}
}
printf("Case %d: %d\n",ic++,ans);
}
return 0;
}