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#include <bits/stdc++.h>
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
const int NMAX=50005,INF=0x3F3F3F3F;
int n,m,x,y,c;
vector<int>d;
vector<pair<int,int>>v[NMAX];
priority_queue<pair<int,int>>q;
bitset<NMAX>viz;
void dijkstra(int x)
{
q.push({0,x});
while(!q.empty())
{
x=q.top().second;
q.pop();
if(viz[x]==0)
{
for(int i=0; i<v[x].size(); i++)
if(d[x]+v[x][i].second<d[v[x][i].first])
{
d[v[x][i].first]=d[x]+v[x][i].second;
q.push({-d[v[x][i].first],v[x][i].first});
}
viz[x]=1;
}
}
}
int main()
{
f>>n>>m;
d=vector<int>(n+1,INF);
for(int i=1; i<=m; i++)
{
f>>x>>y>>c;
v[x].push_back({y,c});
}
d[1]=0;
dijkstra(1);
for(int i=2; i<=n; i++)
if(d[i]==INF)
g<<0<<" ";
else
g<<d[i]<<" ";
return 0;
}