#include <bits/stdc++.h>

using namespace std;

const int inf=2e9;

struct edge
{
    int nod,cost;
    bool operator <(const edge &aux) const
    {
        return cost>aux.cost;
    }
};

vector<edge> v[50010];
int d[50010];
priority_queue<edge> q;

int main()
{
    freopen("dijkstra.in","r",stdin);
    freopen("dijkstra.out","w",stdout);
    int n,m,x,y,c;
    scanf("%d%d",&n,&m);
    for(int i=1;i<=m;i++)
    {
        scanf("%d%d%d",&x,&y,&c);
        v[x].push_back({y,c});
    }
    for(int i=1;i<=n;i++) d[i]=inf;
    d[1]=0;
    q.push({1,0});
    while(!q.empty())
    {
        int nod=q.top().nod,c=q.top().cost;
        q.pop();
        if(c>d[nod]) continue;
        for(int i=0;i<v[nod].size();i++)
        {
            int vec=v[nod][i].nod,cost=v[nod][i].cost;
            if(c+cost<d[vec])
            {
                d[vec]=c+cost;
                q.push({vec,d[vec]});
            }
        }
    }
    for(int i=2;i<=n;i++) printf("%d ",d[i]);
    return 0;
}