#include <iostream>
#include <cstdio>
#include <cstring>
#include <vector>
#include <queue>
#define NMAX 50005
using namespace std;
int n, m;

struct pr
{
    int nod;
    int cost;
    pr(int a=0, int b=0)
    {
        nod = a;
        cost = b;
    }
};

vector<pr> G[NMAX];
queue<int> q;
int mx[NMAX];

void solve()
{
    q.push(1);
    mx[1] = 1;
    while(!q.empty())
    {
        int elem = q.front();
        q.pop();
        vector<pr>::iterator it;
        for (it = G[elem].begin(); it!=G[elem].end(); it++)
        {
            if (mx[elem] + it->cost < mx[it->nod])
            {
                mx[it -> nod] = mx[elem] + it->cost;
                q.push(it->nod);
            }
        }
    }

    for (int i=2; i<=n; i++)
        cout<<mx[i]-1<<" ";
}

void read()
{
    int x, y, z;
    scanf("%d %d\n", &n, &m);
    for (int i=0; i<m; i++)
    {
        scanf("%d %d %d\n", &x, &y, &z);
        G[x].push_back(pr(y, z));
        //G[x].cost = z;

    }
}
int main()
{
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);
    read();
    for (int i=2; i<=n; i++)
        mx[i] = 9999;
    solve();
    return 0;
}