#include <cstdio>
#include <vector>
#include <queue>

using namespace std;

#define N 50002

struct edge
{
    int to,cost;
};

int n;
vector <edge> a[N];
queue <int> q;
int d[N];

void read()
{
    int m;
    int x,y,z;
    scanf("%d%d",&n,&m);

    while(m--)
    {
        scanf("%d%d%d",&x,&y,&z);
        a[x].push_back((edge){y,z});
        //a[y].push_back((edge){x,z});
    }
}

void run()
{
    int x,y;
    q.push(1);
    d[1]=0;

    while(!q.empty())
    {
        x=q.front();
        q.pop();
        for(size_t i=0;i<a[x].size();++i)
        {
            y=a[x][i].to;
            if(d[y]==0 || d[y]>d[x]+a[x][i].cost)
            {
                d[y]=d[x]+a[x][i].cost;
                q.push(y);
            }
        }
    }
}

int main()
{
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);

    read();

    run();

    for(int i=2;i<=n;++i)
        printf("%d ",d[i]);

    return 0;
}