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#include <iostream>
#include <fstream>
#define pinf 100000
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int N,M,Start[50010],T[3][500010],D[50010],ant[50010],viz[50010];
void init()
{
int i;
D[1]=0;
for(i=2; i<=N; i++)
{
D[i]=pinf;
}
}
void citire()
{
int i,x,y,c;
for(i=1; i<=M; i++)
{
fin>>x>>y>>c;
T[0][i]=y;
T[1][i]=Start[x];
T[2][i]=c;
Start[x]=i;
}
}
void djikstra(int nod)
{
int i,j,p,poz,minn=0;
while(minn!=pinf)
{
minn=pinf;
for(j=2; j<=N; j++)
{
if(viz[j]==0)
{
if(D[j]<minn)
{
poz=j;
minn=D[j];
}
}
}
if(minn!=pinf)
{
viz[poz]=1;
p=Start[poz];
while(p!=0)
{
if(D[T[0][p]]>D[poz]+T[2][p])
{
D[T[0][p]]=D[poz]+T[2][p];
ant[T[0][p]]=poz;
}
p=T[1][p];
}
}
}
}
void afisare()
{
int i;
for(i=2; i<=N; i++)
{
if(D[i]!=pinf)
fout<<D[i]<<' ';
else
fout<<0<<' ';
}
}
int main()
{
int S,i,p;
fin>>N>>M;
citire();
init();
p=Start[1];
while(p!=0)
{
D[T[0][p]]=T[2][p];
ant[T[0][p]]=1;
p=T[1][p];
}
viz[1]=1;
djikstra(1);
afisare();
}