题链
#include <bits/stdc++.h>
using namespace std;
#define MS 100009
#define ls rt<<1
#define rs rt<<1|1
#define LL long long
#define MAXN 2147483647
int n,m;
int st;
struct node{
int to,val;
};
vector<node > vc[MS];
struct nod{
int poi,val;
};
priority_queue<nod > Q;
bool operator < (nod t1,nod t2){
return t1.val > t2.val;
}
int dis[MS];
bool v[MS];
void dijkstra(){
// 除了源点,其余初值为 MAXN
for(int i=1;i<=n;i++){
v[i] = 0;
dis[i] = MAXN;
}
dis[st] = 0;
Q.push({st,0});
while(!Q.empty()){ // 选定权值最小的点,松弛其指向的点
nod x = Q.top();
Q.pop();
if(v[x.poi]) continue;
v[x.poi] = 1;
for(auto &it:vc[x.poi]){ //松弛
if(dis[it.to] > dis[x.poi] + it.val){
dis[it.to] = dis[x.poi] + it.val;
if(!v[it.to]){ // 未被访问
Q.push({it.to,dis[it.to]});
}
}
}
}
}
int main() {
ios::sync_with_stdio(false);
cin >> n >> m >> st;
for(int i=1;i<=m;i++){
int u,v,w;
cin >> u >> v >> w;
vc[u].push_back({v,w});
}
dijkstra();
for(int i=1;i<=n;i++){
cout << dis[i] << " ";
}
cout << "\n";
return 0;
}