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#include <bits/stdc++.h>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n,m,a,b,c;
const int DMAX=100005;
const int oo=2147483647;
vector < pair <long long, long long> > graf[DMAX];
int dist[DMAX];
void read(){
fin>>n>>m;
for(int i=1; i<=m; i++){
fin>>a>>b>>c;
graf[a].push_back(make_pair(b,c));
}
}
void print(){
for(long long i=2; i<=n; i++){
if(dist[i]!=oo){
fout<<dist[i]<<" ";
}else{
fout<<"0 ";
}
}
}
bool vizitat[DMAX];
struct comp{
bool operator()(int x, int y){
if(dist[x]>dist[y]){
return true;
}
return false;
}
};
priority_queue <int, vector<int>, comp> q;
int s, ngh, cost;
void dijkstra(int nod){
for(int i=1; i<=n; i++){
dist[i]=oo;
}
dist[nod]=0;
q.push(nod);
while(!q.empty()){
s=q.top();
q.pop();
if(vizitat[s]==0){
vizitat[s]=1;
for(int j=0; j<graf[s].size(); j++){
ngh=graf[s][j].first;
cost=graf[s][j].second;
if(dist[ngh]>dist[s]+cost && vizitat[ngh]==false){
dist[ngh]=dist[s]+cost;
q.push(ngh);
}
}
}
}
}
int main(){
read();
dijkstra(1);
print();
}