#include <bits/stdc++.h>
using namespace std;

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

int n,m,dp[50001];
vector<pair<int,int>>adj[250001];

void dijkstra()
{
    priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>>pq;
    pq.push({1,0});
    dp[1] = 0;
    while(!pq.empty())
    {
        int curr = pq.top().first;
        int cost = pq.top().second;
        pq.pop();
        if(cost != dp[curr])
        {
            continue;
        }
        for(pair<int,int> i : adj[curr])
        {
            int urm = i.first;
            int cost_nou = i.second;
            if(dp[curr] + cost_nou < dp[urm])
            {
                dp[urm] = dp[curr] + cost_nou;
                pq.push({urm,cost_nou});
            }
        }
    }
}

int main()
{
    fin >> n >> m;
    for(int i = 1; i <= m; i++)
    {
        int st,dr,c;
        fin >> st >> dr >> c;
        adj[st].push_back({dr,c});
    }
    for(int i = 1; i <= n; i++)
        dp[i] = INT_MAX;
    dijkstra();
    for(int i =2 ; i <= n; i++)
        fout << dp[i] << ' ';
    return 0;
}