#include <bits/stdc++.h>
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
const int N = 50010;
const int oo = 1000000010;
vector <pair<int, int>> v[N];
priority_queue <pair<int, int>> pq;
int n, m, d[N];
int main()
{
    f >> n >> m;
    for(; m; m--)
    {
        int x, y, c;
        f >> x >> y >> c;
        v[x].push_back({y, c});
    }
    for(int i = 2; i <= n; i++)
        d[i] = oo;
    pq.push({0, 1});
    while(!pq.empty())
    {
        int nod, cost;
        tie(cost, nod) = pq.top();
        pq.pop();
        cost = -cost;
        for(auto it:v[nod])
        {
            if(d[it.first] > it.second + cost)
            {
                d[it.first] = it.second + cost;
                pq.push({-d[it.first], it.first});
            }
        }
    }
    for(int i = 2; i <= n; i++)
        g << d[i] << ' ';
    return 0;
}