#include <fstream>
#include <vector>
#include <queue>
#define NMAX 50002
#define VMAX 2000000002
using namespace std;
ifstream  fin("dijkstra.in");
ofstream fout("dijkstra.out");
int N,M,viz[NMAX];
vector <int>cost(NMAX,VMAX);
vector<vector<pair<int,int>>> graph(NMAX);
priority_queue<pair<int,int>>s;

void citire()
{
    int a,b,c;
    fin>>N>>M;

    for(int i=1; i<=M; i++)
    {
        fin>>a>>b>>c;
        graph[a].push_back({b,c});
    }
}

int main()
{
    citire();

    cost[1]=0;
    s.push({0,1}); ///({cost,nod});

    while(!s.empty())
    {
        pair<int,int> x=s.top();
        s.pop();

        if(!viz[x.second])
        {
            viz[x.second]=1;

            for(int i=0; i<graph[x.second].size(); i++)
            {
                int a,b;
                a=graph[x.second][i].first;
                b=graph[x.second][i].second;

                if(-x.first+b<cost[a])
                {
                    cost[a]=-x.first+b;
                    s.push({-cost[a],a});
                }
            }
        }
    }

    for(int i=2; i<=N; i++)
    {
        fout<< cost[i] << " ";
    }
    fout<< "\n";

    return 0;
}