#include <bits/stdc++.h>
using namespace std;
#define nmax 50000
#define inf 1e9
#define ll long long
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");

vector<vector<pair<ll,int>>> dk(nmax+5);
ll dp[nmax+5];
priority_queue<pair<ll,int>, vector<pair<ll,int>>, greater<pair<ll,int>>>pq;

void dijkstra(){
    dp[1]=0;
    pq.push({0,1});
    while(pq.size()){
        pair<ll,int>now=pq.top();
        pq.pop();
        if(now.first!=dp[now.second])continue;
        for(auto i:dk[now.second]){
            pair<ll,int>nxt=i;
            if(dp[nxt.second]>now.first+nxt.first){
                dp[nxt.second]=now.first+nxt.first;
                pq.push({now.first+nxt.first,nxt.second});
            }
        }
    }
}

int main()
{
    int n,m;
    f>>n>>m;
    for(int i=1;i<=m;++i)
        {
            int x,y;
            ll c;
            f>>x>>y>>c;
            dk[x].emplace_back(c,y);
        }
    for(int i=1;i<=n;++i)
        dp[i]=inf;
    dijkstra();
    for(int i=2;i<=n;++i)
        {if(dp[i]==inf)g<<"0";
        else g<<dp[i]<<" ";}
}