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#include <bits/stdc++.h>
#define ll long long
#define lf long double
#define INF 0x3f3f3f3f
#define cin fin
#define cout fout
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n,m,x,y,c,d[50001],viz[50001];
vector<pair<int,int>> v[50005];
priority_queue<pair<int,int>> p;
int main()
{
ios_base::sync_with_stdio(false);
cin>>n>>m;
for (int i=1;i<=m;i++)
{
cin>>x>>y>>c;
v[x].push_back({y,c});
}
for (int i=2;i<=n;i++)
d[i]=INF;
p.push({0,1});
while (!p.empty())
{
auto t=p.top();
p.pop();
if (!viz[t.second])
{
viz[t.second]=1;
for (auto vec:v[t.second])
{
d[vec.first]=min(d[vec.first], d[t.second]+vec.second);
p.push({-d[vec.first], vec.first});
}
}
}
for (int i=2;i<=n;i++)
if (d[i]!=INF)
cout<<d[i]<<" ";
else cout<<0<<" ";
return 0;
}
//Long long output!!!
//Check constraints!!!