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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#define NMAX 50005
#define infint (1<<31)-100
using namespace std;
ifstream fin ("dijkstra.in");
ofstream fout ("dijkstra.out");
int n, m, a, b, c;
vector<pair<int, int>> ad[NMAX]; ///{indice, cost}
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<>> q; ///{cost, indice}
int d[NMAX], viz[NMAX];
void dijkstra (int start_node)
{
for(int i=1; i<=n; i++)
d[i]=infint;
d[start_node]=0;
q.push({0, start_node});
while(!q.empty())
{
int nod=q.top().second;
q.pop();
if(!viz[nod])
{
viz[nod]=1;
for(auto &vecin: ad[nod])
{
if(d[nod]+vecin.second<d[vecin.first])
{
d[vecin.first]=d[nod]+vecin.second;
q.push({d[vecin.first], vecin.first});
}
}
}
}
}
int main()
{
fin>>n>>m;
for(int i=1; i<=m; i++)
{
fin>>a>>b>>c;
ad[a].push_back({b, c});
}
dijkstra(1);
for(int i=2; i<=n; i++)
if(d[i]==infint)
fout<<0<<" ";
else
fout<<d[i]<<" ";
return 0;
}