#include <iostream>
#include <vector>
#include <queue>
#define inf 300001
using namespace std;
//ifstream cin("dijkstra.in");
//ofstream cout("dijkstra.out");

struct node
{
    int ind;
    int cost;
    bool operator < (const node &other) const
    {
        return (cost>other.cost);
    }
};

priority_queue<node> q;
vector<vector<node>> gf(50005);
int x, y, c, n, m, d[50005];

void bfs()
{
    for(int i=2; i<=n; i++)
        d[i]=inf;
    d[1]=0;
    q.push({1,0});
    while(!q.empty())
    {
        int nod = q.top().ind;
        for(auto nodcrt : gf[nod])
        {
            if(d[nodcrt.ind] > d[nod] + nodcrt.cost)
            {
                d[nodcrt.ind] = d[nod] + nodcrt.cost;
                q.push({nodcrt.ind, d[nodcrt.ind]});
            }
        }
        q.pop();
    }
    for(int i=2; i<=n; i++)
    {
        if(d[i]!=inf)
            cout<<d[i]<<' ';
        else
            cout<<0<<' ';
    }

}

int main()
{
    cin>>n>>m;
    for(int i=1; i<=m; i++)
    {
        cin>>x>>y>>c;
        gf[x].push_back({y,c});
    }
    bfs();
    return 0;
}