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#include <iostream>
#include <fstream>
#include <algorithm>
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
#define INF 2000000000
#define cout g
int nr,n,m,a[5001][5001],res[50000],lista[1000000];
int i;
void BFS(int X)
{
nr=1;
int NOD,j,i;
lista[nr]=X;
for(j=1;j<=nr;++j)
{
NOD=lista[j];
for(i=1;i<=n;++i)
if(a[NOD][i]!=0)
{
if(res[i]>res[NOD]+a[NOD][i])
{
nr++;
lista[nr]=i;
res[i]=res[NOD]+a[NOD][i];
}
}
}
}
int main()
{
f>>n>>m;
for(i=1;i<=n;++i) res[i]=INF;
res[1]=0;
for(i=1;i<=m;++i)
{
int x,y,z;
f>>x>>y>>z;
a[x][y]=z;
}
BFS(1);
for(i=2;i<=n;++i)
{
if(res[i]==INF) cout<<0<<" ";
else cout<<res[i]<<" ";
}
return 0;
}