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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
using namespace std;
int N, M;
vector<pair<int, int> > V[50005];
int DMIN[50005];
void solve()
{
queue<int> Q;
for(int i=1;i<=N;++i) DMIN[i] = 999999;
Q.push(1);
DMIN[1] = 0;
while(!Q.empty())
{
int cStep = Q.front();
for(vector<pair<int, int> >::iterator it=V[cStep].begin();it!=V[cStep].end();++it)
{
if(DMIN[cStep] + it->second < DMIN[it->first])
{
DMIN[it->first] = DMIN[cStep] + it->second;
Q.push(it->first);
}
}
Q.pop();
}
}
int main()
{
freopen("dijkstra.in", "r", stdin);
freopen("dijkstra.out", "w", stdout);
scanf("%d %d", &N, &M);
for(int i=1;i<=M;++i)
{
int A, B, C;
scanf("%d %d %d", &A, &B, &C);
V[A].push_back(make_pair(B, C));
}
solve();
for(int i=2;i<=N;++i)
cout<<(DMIN[i] == 999999 ? 0 : DMIN[i])<<" ";
cout<<"\n";
return 0;
}