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

#define INF 9999999

using namespace std;

int n,m,D[50002];

vector < pair < int , int > > L[50002];
priority_queue < pair < int, int > > Heap;

void Dijkstra(int start)
{
    int neigh;
    int node,cost;
    int son;
    int sum;
    for(int i=1;i<=n;i++)
        D[i] = INF;
    D[start] = 1;
    Heap.push({start,0});
    while(!Heap.empty())
    {
        node = Heap.top().first;
        cost = -Heap.top().second;
        Heap.pop();
        if(cost <= D[node])
        {
            neigh = L[node].size();
            for(int i=0;i<neigh;i++)
            {
                son = L[node][i].first;
                sum = L[node][i].second;
                if(D[son] > cost + sum)
                {
                    D[son] = cost + sum;
                    Heap.push({son,-D[son]});
                }
            }
        }
    }
}

int main()
{
    freopen("dijkstra.in","r",stdin);
    freopen("dijkstra.out","w",stdout);
    int a,b,c;
    scanf("%d %d",&n,&m);
    for(int i=1;i<=m;i++)
    {
        scanf("%d %d %d",&a,&b,&c);
        L[a].push_back({b,c});
    }
    Dijkstra(1);
    for(int i=2;i<=n;i++)
    {
        if(D[i] != INF)
            printf("%d ",D[i]);
        else
            printf("0 ");
    }
    return 0;
}