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#include <iostream>
#include <fstream>
#include <vector>
using namespace std;
vector <int> graf[50005];
vector <int> grafc[50005];
int dist[50005];
int viz[50005];
void dijkstra(int x,int N)
{
int i,j,minim,dmin,lim;
for(i=1;i<=N;i++)
{
dmin=1000000005;
for(j=1;j<=N;j++)
{
if(viz[j]==0 && dist[j]<dmin)
{
minim=j;
dmin=dist[j];
}
}
viz[minim]=1;
lim=graf[minim].size();
for(j=0;j<lim;j++)
{
if(dist[graf[minim][j]]>dist[minim]+grafc[minim][j])
dist[graf[minim][j]]=dist[minim]+grafc[minim][j];
}
}
}
int main()
{
int N,M,x,y,i,c;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
f>>N>>M;
for(i=1;i<=N;i++)
{
f>>x>>y>>c;
graf[x].push_back(y);
grafc[x].push_back(c);
}
for(i=2;i<=N;i++)
dist[i]=1000000005;
dijkstra(1,N);
for(i=2;i<=N;i++)
if(dist[i]==1000000005)
dist[i]=0;
for(i=2;i<=N;i++)
g<<dist[i]<<" ";
return 0;
}