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#include <bits/stdc++.h>
using namespace std;
#define INF 1000000000
ifstream f("bellmanford.in");
ofstream g("bellmanford.out");
int n, m;
int d[50001];
int inQ[50001];
vector<pair<int,int>> v[50001];
int cnt[50001];
priority_queue< pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> q;
void Dijkstra(int start)
{
for(int i=1;i<=n;i++)
d[i]=INF;
d[start]=0;
q.push({0,start});
cnt[start]=1;
while(!q.empty())
{
auto [dist,nod]=q.top();
q.pop();
inQ[nod]=0;
for(auto &e:v[nod])
{
int vecin=e.first;
int cost=e.second;
if(d[nod]+cost<d[vecin])
{
d[vecin]=d[nod]+cost;
if(inQ[vecin]==0)
{q.push({d[vecin],vecin});
inQ[vecin]=1;
}
}
}
}
}
int main()
{
f>>n>>m;
for(int i=1;i<=m;i++)
{ int x,y,z;
f>>x>>y>>z;
v[x].push_back({y, z});
}
Dijkstra(1);
for(int i=2;i<=n;i++)
{
if(d[i]==INF)
g<<0<<" ";
else
g<<d[i]<< " ";
}
return 0;
}