#include <bits/stdc++.h>

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
const int Nmax = 50000 + 5;
#define x first
#define y second
#define pb push_back
#define pii pair<int, int>
int n, m;
vector <pii> v[Nmax];
int dp[Nmax];
priority_queue<pii, vector<pii>, greater<pii> >Q;
int main()
{
    fin >> n >> m;
    for(int i = 1, a, b, cst; i <= m; ++i)
    {
        fin >> a >> b >> cst;
        v[a].pb({b, cst});
        v[b].pb({a, cst});
    }
    Q.push({0, 1});
    for(int i =1; i <= n; ++i)dp[i] = 1 << 30;
    dp[1] = 0;
    while(!Q.empty())
    {
        int nod = Q.top().y;
        int cst = Q.top().x;
        Q.pop();
        for(auto i : v[nod])
        {
            if(dp[i.x] > dp[nod] + i.y)
            {
                dp[i.x] = dp[nod] + i.y;
                Q.push({dp[i.x], i.x});
            }
        }
    }
    for(int i = 2; i <= n; ++i)
        fout << dp[i] <<' ';
    return 0;
}