#include <fstream>
#include <bits/stdc++.h>

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n, m, i, j, x1, y, c, dist[50005];
bool viz[50005];
vector <pair<int, int>> v[50005];
struct nodd
{
    int nod, cost;
} x;
struct cmp
{
    bool operator()(const nodd &a, const nodd &b)
    {
        return a.cost>b.cost;
    }
};
priority_queue <nodd, vector <nodd>, cmp> q;
int main()
{
    fin>>n>>m;
    for(i=1; i<=m; i++)
    {
        fin>>x1>>y>>c;
        v[x1].push_back({y, c});
    }
    q.push({1, 0});
    for(i=1; i<=n; i++)
        dist[i]=1e9;
    dist[1]=0;
    while(!q.empty())
    {
        x=q.top();
        q.pop();
        if(!viz[x.nod])
            for(auto i: v[x.nod])
                if(dist[i.first]>dist[x.nod]+i.second)
                {
                    dist[i.first]=dist[x.nod]+i.second;
                    q.push({i.first, dist[i.first]});
                }
        viz[x.nod]=1;
    }
    for(i=2; i<=n; i++)
        fout<<dist[i]<<" ";
    return 0;
}