#include <bits/stdc++.h>
using namespace std;
#define nmax 100000
#define inf 1e18
#define ll long long
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");

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

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

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