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#include <fstream>
#include <vector>
#include <set>
const int NMAX=50005;
using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
int ans[NMAX];
vector<pair<int,int>> adjNod[NMAX];
void bfs(int n)
{
set<pair<int,int>> toUpdate;
for(int i=1;i<=n;i++) ans[i]=1e9;
toUpdate.insert({0,1});
ans[1]=0;
while(!toUpdate.empty())
{
pair<int,int> nod=*toUpdate.begin();
toUpdate.erase(toUpdate.begin());
for(auto i:adjNod[nod.second])
{
if(nod.first+i.second<ans[i.first])
{
ans[i.first]=nod.first+i.second;
toUpdate.insert({ans[i.first],i.first});
}
}
}
}
int main()
{
int n,m;
cin>>n>>m;
for(int i=1;i<=m;i++)
{
int nod1,nod2,dist;
cin>>nod1>>nod2>>dist;
adjNod[nod1].push_back({nod2,dist});
}
bfs(n);
for(int i=2;i<=n;i++)
{
if(ans[i]==1e9) ans[i]=0;
cout<<ans[i]<<" ";
}
return 0;
}