#include <cstdio>
#include <cstring>
#include <set>
#include <queue>
#include <vector>
using namespace std;

#define pb push_back
#define mp make_pair
#define MAXN 50100
#define INF 1000000000

int N, M, d[MAXN]; vector<int> G[MAXN], C[MAXN];
priority_queue< pair<int, int>, vector< pair< int, int> > > T;

void solve(void)
{
    int i, val, x;
    
    for(i = 2; i <= N; i++) d[i] = INF;
    T.push( mp(0, 1) );

    while( T.size() > 0 )
    {
        val = T.top().first, x = T.top().second;
        T.pop();
		if(val <= d[x])
        for(i = 0; i < G[x].size(); i++)
         if(d[ G[x][i] ] > val + C[x][i] )
            d[ G[x][i] ] = val + C[x][i], T.push(mp(d[G[x][i]],G[x][i]));
    }
}

int main(void)
{
    freopen("dijkstra.in", "rt", stdin);
    freopen("dijkstra.out", "wt", stdout);

    int i, a, b, c;

    scanf("%d %d\n", &N, &M);

    for(i = 1; i <= M; i++)
        scanf("%d %d %d\n", &a, &b, &c), G[a].pb(b), C[a].pb(c);

    solve();

    for(i = 2; i <= N; i++)
        printf("%d ", d[i] == INF ? 0 : d[i]);

    return 0;
}