#include <iostream>
#include <cstdio>
#include <vector>
#include <queue>
#include <cstring>

using namespace std;

const int NMax = 50005;
const int inf = 0x3f3f3f3f;
vector < pair < int, int > > G[NMax];
priority_queue < pair < int, int > > Q;
int N, M;
int dist[NMax];

void Dijk()
{
    Q.push({0,1});
    memset(dist,inf,sizeof(dist));
    dist[1] = 0;


    while(!Q.empty())
    {
        int cost = -Q.top().first;
        int nodc = Q.top().second;
        Q.pop();

        if(cost > dist[nodc])
            continue;

        for(auto it: G[nodc])
        {
            if(dist[it.first] > cost + it.second)
            {
                dist[it.first] = cost + it.second;
                Q.push({-dist[it.first],it.first});
            }
        }
    }

    for(int i=2; i<=N; ++i)
        cout << dist[i] << " ";
}

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

    scanf("%d%d",&N,&M);
    for(int i=1; i<=M; ++i)
    {
        int x,y,c;
        scanf("%d%d%d", &x,&y,&c);
        G[x].push_back({y,c});
    }

    Dijk();
    return 0;
}