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

#define INF 0x3f3f3f3f
#define Nmax 50005

using namespace std;
priority_queue <pair<int,int> > Q;
vector<pair<int,int> >G[Nmax];
vector<int> DP;
int N,M;

void Read()
{
    scanf("%d%d",&N,&M);
    DP.resize(N+1);
    int a,b,c;
    for(int i = 1; i <= M; ++i){
        scanf("%d%d%d",&a,&b,&c);
        G[a].push_back(make_pair(b,c));
    }
}

void Dijkstra(int start)
{
    int cost = 0;
    fill(DP.begin(),DP.end(),INF);
    DP[start] = 0;
    Q.push(make_pair(0,start));
    while(!Q.empty())
    {
        start = Q.top().second;
        cost = -Q.top().first;
        Q.pop();
        if(DP[start] != cost) continue;
        for(auto it : G[start])
            if(DP[it.first] > DP[start] + it.second)
            {
                DP[it.first] = DP[start] + it.second;
                Q.push(make_pair(-DP[it.first],it.first));
            }
    }
    for(int i = 2; i <= N; ++i)
        if(DP[i] == INF)
            printf("0 ");
        else
            printf("%d ",DP[i]);
}

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

    Read();
    Dijkstra(1);

    return 0;
}