#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/1/GRL_1_A"
#include"../../template.h"
#include"../Shortest_path/Dijkstra.h"voidsolve(){intn,m,s;cin>>n>>m>>s;vector<vector<pii>>adj(n+1);for(inti=0;i<m;i++){intu,v,w;cin>>u>>v>>w;adj[u].push_back({v,w});}vector<ll>d=dijkstra(s,n,adj);for(inti=0;i<n;i++){if(d[i]==LLONG_MAX){cout<<"INF\n";}else{cout<<d[i]<<'\n';}}}
#line 1 "Graph/test/aizu_grl_1_a_dijkstra.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/1/GRL_1_A"
#line 2 "template.h"
#include<bits/stdc++.h>usingnamespacestd;#define ll long long
#define MOD (ll)(1e9+7)
#define all(x) (x).begin(),(x).end()
#define unique(x) x.erase(unique(all(x)), x.end())
#define INF32 ((1ull<<31)-1)
#define INF64 ((1ull<<63)-1)
#define inf (ll)1e18
#define vi vector<int>
#define pii pair<int, int>
#define pll pair<ll, ll>
#define fi first
#define se second
constintmod=998244353;voidsolve();intmain(){ios_base::sync_with_stdio(false);cin.tie(NULL);// cin.exceptions(cin.failbit);// int t; cin >> t;// while(t--)solve();cerr<<"\nTime run: "<<1000*clock()/CLOCKS_PER_SEC<<"ms"<<'\n';return0;}#line 2 "Graph/Shortest_path/Dijkstra.h"
vector<ll>dijkstra(ints,intn,vector<vector<pii>>&g){vector<int>vis(n+1);vector<ll>d(n+1,LLONG_MAX);priority_queue<pii,vector<pii>,greater<pii>>pq;pq.push({d[s],s});d[s]=0;while(!pq.empty()){auto[dist,u]=pq.top();pq.pop();if(vis[u])continue;vis[u]=1;for(auto[v,w]:g[u]){if(d[v]>d[u]+w){d[v]=d[u]+w;pq.push({d[v],v});}}}returnd;}#line 5 "Graph/test/aizu_grl_1_a_dijkstra.test.cpp"
voidsolve(){intn,m,s;cin>>n>>m>>s;vector<vector<pii>>adj(n+1);for(inti=0;i<m;i++){intu,v,w;cin>>u>>v>>w;adj[u].push_back({v,w});}vector<ll>d=dijkstra(s,n,adj);for(inti=0;i<n;i++){if(d[i]==LLONG_MAX){cout<<"INF\n";}else{cout<<d[i]<<'\n';}}}