#include <bits/stdc++.h>
#include <queue>
using namespace std;
int n,m,vis[5010],dis[5010][2],head[5010],nxt[200010],to[200010],tot,eg[200010];
int read() {
int sum=0,fg=1;
char c=getchar();
while(c<'0'||c>'9') {
if(c=='-')fg=-1;
c=getchar();
}
while(c>='0'&&c<='9') {
sum=sum*10+c-'0';
c=getchar();
}
return sum*fg;
}
void add(int x,int y,int c){
tot++;
nxt[tot]=head[x];
to[tot]=y;
eg[tot]=c;
head[x]=tot;
}
void spfa(int s) {
memset(dis,0x3f3f3f,sizeof(dis));
dis[s][0]=0;
//dis[i][0] means getting to point i the fastest way
//dis[i][1] means getting to point i the second fastest way
vis[s]=0;
queue<int>q;
q.push(s);
while(!q.empty()) {
int now=q.front();
q.pop();
vis[now]=0;
for(int i=head[now]; i; i=nxt[i]) {
int v=to[i];
if(dis[v][0]>dis[now][0]+eg[i]) {
//only the fastest way can make another fastest way
//the second fastest way can not do so
//if there is a way faster than the fastest way than the fastest way will change to be the now fastest
//and the second fastest way will become the old fastest way
dis[v][1]=dis[v][0];
dis[v][0]=dis[now][0]+eg[i];
if(!vis[v]) {
q.push(v);
vis[v]=1;
}
}
if(dis[v][1]>dis[now][0]+eg[i]&&dis[v][0]<dis[now][0]+eg[i]) {
//if there exists a way faster than the second fastest way but slower than the fastest way
//then change second fastest way
//if there is a way that the fastest way can remake the second fastest way but can not remake the fastest way
//then only change the second fastest way
dis[v][1]=dis[now][0]+eg[i];
if(!vis[v]) {
q.push(v);
vis[v]=1;
}
}
if(dis[v][1]>dis[now][1]+eg[i]) {
//anyway the second fasteset way can't anyhow become the fastest way so if there is
//a way that the new second fastest way can be faster than the now second fastest way then replace
//this is only possible to make the second fastest way
dis[v][1]=dis[now][1]+eg[i];
if(!vis[v]) {
q.push(v);
vis[v]=1;
}
}
}
}
}
int main() {
n=read();
m=read();
for(int i=1; i<=m; i++) {
int a,b,c;
a=read();
b=read();
c=read();
add(a,b,c);
add(b,a,c);
}
spfa(1);
cout<<dis[n][1];
return 0;
}
SPFA求次短路
Guess you like
Origin blog.csdn.net/weixin_45446715/article/details/120774193
Recommended
Ranking