#include <iostream>
#include <fstream>
#include <queue>
#include <vector>
using namespace std;
ifstream f("bellmanford.in");
ofstream g("bellmanford.out");
#define NMax 50005
#define oo (1LL << 30)
int N,M;
bool incoada[NMax];
int D[NMax];
struct cmp
{
bool operator()(int x, int y)
{
return D[x]>D[y];
}
};
vector < pair <int, int> > V[NMax];
priority_queue <int, vector <int>, cmp> Q;
void read()
{
f>>N>>M;
for(int i=1;i<=M;i++)
{
int x,y,c;
f>>x>>y>>c;
V[x].push_back(make_pair(y,c));
}
}
void write()
{
for(int i=2;i<=N;i++)
if(D[i]!=oo)
g<<D[i]<<" ";
else
g<<0<<" ";
}
void Dijkstra(int nodStart)
{
for(int i=1;i<=N;i++)
D[i]=oo;
D[nodStart]=0;
incoada[nodStart]=true;
Q.push(nodStart);
while(!Q.empty())
{
int nodCurent = Q.top();
Q.pop();
incoada[nodCurent]=false;
for(size_t i=0;i<V[nodCurent].size();i++)
{
int Vecin=V[nodCurent][i].first;
int Cost=V[nodCurent][i].second;
if(D[nodCurent]+Cost<D[Vecin])
{
D[Vecin]=D[nodCurent]+Cost;
if(incoada[Vecin]==false)
{
Q.push(Vecin);
incoada[Vecin]=true;
}
}
}
}
}
int main()
{
read();
Dijkstra(1);
write();
return 0;
}