#include <iostream>
#include <fstream>
#include <algorithm>
#include <vector>
#include <queue>

#define N 50005
#define inf (1 << 30)
#define cc first
#define yy second

using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

int n, m;
typedef pair <int, int> nod;
vector <nod> a[N];
vector <int> d(N, inf);
vector <bool> viz(N);
priority_queue <nod, vector<nod>, greater<nod> > h;

int main()
{
    fin>>n>>m;
    while(m--)
    {
        int x, y, c;
        fin>>x>>y>>c;
        a[x].push_back(nod(c, y));
        a[x].push_back(nod(c, x));
    }

    d[1] = 0; h.push(nod(0, 1));
    while(!h.empty())
    {
        nod x = h.top(); h.pop();
        for(unsigned i=0; i<a[x.yy].size(); i++)
        {
            int y = a[x.yy][i].yy;
            int cost = a[x.yy][i].cc;
            if(d[y] > d[x.yy] + cost)
            {
                d[y] = d[x.yy] + cost;
                h.push(nod(d[y], y));
            }
        }
    }
    for(int i=2; i<=n; i++)
        fout<<d[i]<<' ';
    return 0;
}