#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<queue>
using namespace std;
#define MAXN 1111
#define inf 1<<30
struct Edge{
int v,w;
Edge(int vv,int ww):v(vv),w(ww){}
};
struct Node{
int v,g,f;
bool operator < (const Node &p) const {
return p.f<f;
}
};
vector<vector<Edge> >remap;//反图,用于求h[]的值
vector<vector<Edge> >map;
int n,m,st,ed,k,min_kth;
int g[MAXN],h[MAXN];
bool mark[MAXN];
int _count[MAXN];
void SPFA(int u)
{
memset(mark,false,(n+2)*sizeof(int));
for(int i=1;i<=n;i++)h[i]=inf;
h[u]=0;
queue<int>Q;
Q.push(u);
while(!Q.empty()){
u=Q.front();
Q.pop();
mark[u]=false;
for(int i=0;i<remap[u].size();i++){
int v=remap[u][i].v,w=remap[u][i].w;
if(h[u]+w<h[v]){
h[v]=h[u]+w;
if(!mark[v]){ mark[v]=true;Q.push(v); }
}
}
}
}
int Astar_Kth(int st,int ed)
{
memset(_count,0,(n+2)*sizeof(int));
min_kth=-1;
if(st==ed)k++;
if(h[st]==inf)return min_kth;
Node p,q;
priority_queue<Node>Q;
p.v=st,p.g=0,p.f=p.g+h[st];
Q.push(p);
while(!Q.empty()){
p=Q.top();
Q.pop();
int u=p.v;
_count[u]++;//当前节点的拓展次数
if(_count[u]>k)continue;
if(u==ed){
if(_count[ed]==k)return min_kth=p.f;
}
for(int i=0;i<map[u].size();i++){
int v=map[u][i].v,w=map[u][i].w;
q.v=v;
q.g=p.g+w;
q.f=q.g+h[v];
Q.push(q);
}
}
return min_kth;
}
int main()
{
int u,v,w;
while(~scanf("%d%d",&n,&m)){
remap.clear();remap.resize(n+2);
map.clear();map.resize(n+2);
while(m--){
scanf("%d%d%d",&u,&v,&w);
remap[v].push_back(Edge(u,w));
map[u].push_back(Edge(v,w));
}
scanf("%d%d%d",&st,&ed,&k);
SPFA(ed);//求h[]
printf("%d\n",Astar_Kth(st,ed));
}
return 0;
}
k短路
最新推荐文章于 2025-05-06 13:21:36 发布