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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
const int lim=50001;
const int oo=(1<<30);
int N,M, d[lim];
bool incoada[lim];
vector < pair <int,int> > g[lim];
struct compD
{
bool operator () (int x, int y)
{
return d[x]>d[y];
}
};
priority_queue<int, vector<int>, compD> coada;
void citeste ()
{
fin>>N>>M;
for (int i=1; i<=M; i++)
{
int x,y,c;
fin>>x>>y>>c;
g[x].push_back(make_pair(y,c));
}
}
void dijkstra (int nods)
{
for (int i=1; i<=N; i++)
d[i]=oo;
d[nods]=0;
coada.push(nods);
incoada[nods]=true;
while(!coada.empty())
{
int nodcurent=coada.top();
coada.pop();
incoada[nodcurent]=false;
for (unsigned i=0; i<g[nodcurent].size(); i++)
{
int vecin = g[nodcurent][i].first;
int cost=g[nodcurent][i].second;
if (d[nodcurent]+cost<d[vecin])
{
d[vecin]=d[nodcurent]+cost;
if (incoada[vecin]==false)
{
coada.push(vecin);
incoada[vecin]=true;
}
}
}
}
}
void afiseaza ()
{
for (int i=2; i<=N; i++)
{
if (d[i]!=oo)
fout<<d[i]<<" ";
else
fout<<"0 ";
}
}
int main()
{
citeste();
dijkstra(1);
afiseaza();
return 0;
}