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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
using namespace std;
#define NMAX 50005
#define MMAX 1000000
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int d[NMAX], n, m;
int oo=(1<<31)-1;
vector < pair <int , int> > v[NMAX];
bool incoada[NMAX];
struct compara
{
bool operator()(int x, int y)
{
return d[x]>d[y];
}
};
priority_queue <int, vector <int>, compara> coada;
void read()
{
fin>>n>>m;
for(int i=1; i<=m; i++)
{
int x, y, cost;
fin>>x>>y>>cost;
v[x].push_back(make_pair(y, cost));
}
}
void dijk(int nod)
{
for(int i=2; i<=n; i++)
d[i]=oo;
d[nod]=0;
coada.push(nod);
incoada[nod]=true;
while(!coada.empty())
{
nod=coada.top();
coada.pop();
incoada[nod]=false;
for(unsigned int i=0; i<v[nod].size(); i++)
{
int vecin=v[nod][i].first;
int cost=v[nod][i].second;
if(d[nod]+cost<d[vecin])
{
d[vecin]=d[nod]+cost;
if(incoada[vecin]==false)
{
coada.push(vecin);
incoada[vecin]=true;
}
}
}
}
}
int main()
{
read();
dijk(1);
for(int i=2; i<=n; i++)
if(d[i]==oo) fout<<"0 ";
else
fout<<d[i]<<" ";
return 0;
}