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#include <bits/stdc++.h>
#define Nmax 50000
#define Mmax 250000
#define oo (1<<30)
using namespace std;
int n,m,d[Nmax];
bool inCoada[Nmax];
struct Compare{
bool operator()(int x,int y)
{
return d[x] > d[y];
}
};
vector< pair<int,int> > g[Nmax];
priority_queue<int ,vector<int>,Compare> Coada;
void Read()
{
ifstream f("dijkstra.in");
f>>n>>m;
int x,y,c;
for(int i=1;i<=n;i++)
{
f>>x>>y>>c;
g[x].push_back(make_pair(y,c));
}
for(int i=1;i<=n;i++)
d[i] = oo;
f.close();
}
void Afisare()
{
ofstream g("dijkstra.out");
for(int i=2;i<=n;i++)
if(d[i]!=oo)
g<<d[i]<<" ";
else
g<<"0";
}
void Dijkstra(int nodStrat)
{
d[nodStrat]=0;
Coada.push(nodStrat);
inCoada[nodStrat]=true;
while(!Coada.empty())
{
int nodCurent = Coada.top();
Coada.pop();
inCoada[nodCurent]=false;
for(size_t i=0;i<g[nodCurent].size();i++)
{
int vecin = g[nodCurent][i].first;
int cost = g[nodCurent][i].second;
if(d[nodCurent] + cost < d[vecin])
{
d[vecin] = d[nodCurent] + cost;
if(!inCoada[vecin])
{
Coada.push(vecin);
inCoada[vecin]=true;
}
}
}
}
}
int main()
{
Read();
cout<<oo;
Dijkstra(1);
Afisare();
return 0;
}