#include <cstdio>
#include <cstring>
#include <set>
#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];
set< pair<int, int> > T;
int in[MAXN];
void solve(void)
{
    int i, j, k, val, x;
    
    for(i = 2; i <= N; i++) d[i] = INF;
    T.insert( mp(0, 1) );

    while( T.size() > 0 )
    {
        val = (*T.begin()).first, x = (*T.begin()).second;
		in[x] = 0;
        T.erase(*T.begin());
        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];
			if(in[G[x][i]]) 
				//T.erase( T.find(in[G[x][i]], G[x][i]) );
				T.erase(mp(in[G[x][i]], G[x][i]));
			in[G[x][i]] = val + C[x][i];
			T.insert(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;
}