topic
John, a total of N) ranch. Covered by the dust of the M trail connection. Trails can be two-way traffic. Every morning John from ranch to ranch 1 to N cows physical examination.
Through each trail needs to consume a certain amount of time. John K which intend to upgrade the trail, making it a highway. traffic on the highway is almost instantaneous, so the passage of time the highway is 0.
Please help John to decide which trails to upgrade, make him every day from 1 No. No. N ranch to ranch spent the shortest time
Code
Standard hierarchical view of
pay attention to use the stack optimized Dijkstra, with SPFA will fly T
#include <iostream>
#include <utility>
#include <cstring>
#include <queue>
#define mp(x,y) make_pair(x,y)
using namespace std;
const int N=1E5*70,M=5E7;
int to[M],val[M],nxt[M],head[N],cnt;
int dist[N];
bool vis[N];
int n,m,k;
void add(int u,int v,int w) {
to[++cnt]=v;
val[cnt]=w;
nxt[cnt]=head[u];
head[u]=cnt;
}
void dijkstra() { //这题卡SPFA,只能用堆优化的Dijkstra
memset(dist,0x3f,sizeof(dist));
dist[1]=0;
priority_queue<pair<int,int> > q;
q.push(mp(0,1));
while(!q.empty()) {
int x=q.top().second;
q.pop();
vis[x]=true;
for(int i=head[x];i;i=nxt[i]) {
int y=to[i],w=val[i];
if(dist[y]>dist[x]+w) {
dist[y]=dist[x]+w;
if(!vis[y])
q.push(mp(-dist[y],y));
}
}
}
}
int main() {
cin>>n>>m>>k;
while(m--) {
int u,v,w;
cin>>u>>v>>w;
add(u,v,w);
add(v,u,w);
for(int j=1;j<=k;j++) {
add(v+j*n,u+j*n,w);
add(u+j*n,v+j*n,w);
add(v+j*n-n,u+j*n,0);
add(u+j*n-n,v+j*n,0);
}
}
dijkstra();
int ans=0x7fffffff; //防极品数据
for(int i=1;i<=k;i++)
ans=min(ans,dist[i*n+n]);
cout<<ans;
return 0;
}