/* 
 * File:   main.cpp
 * Author: salexandru
 *
 * Created on January 16, 2011, 2:23 PM
 */
#include <vector>
#include <fstream>
#include <cstdlib>
#include <iterator>
#include <algorithm>
#define N_MAX 50011
#define oo 1<<15

using namespace std;

/*
 * 
 */
struct vertex
{
    int y, c;
    vertex( int _y=0, int _c=0 ) : y(_y), c(_c) {}
};
bool was[N_MAX];
int H[N_MAX], d[N_MAX], P[N_MAX];
vector< vertex > G[N_MAX];
vector< vertex >::const_iterator it, iend;
inline void swap( int& x, int& y )
{
    int aux=x;
    x=y;
    y=aux;
}
void DownHeap( int N, int k )
{
    for( int son=k<<1; son <= N; son=k<<1 )
    {
        if( son < N && d[H[son+1]] < d[H[son]] )
            ++son;
        if( d[H[k]] <= d[H[son]] )
            return;
        swap( H[son], H[k] );
        P[H[k]]=k;
        P[H[son]]=son;
        k=son;
    }
}
void UpHeap( int k )
{
    for( int key=d[H[k]], f=k>>1; k > 1 && d[H[f]] > key; k=f, f>>=1 )
    {
        swap( H[k], H[f] );
        P[H[k]]=k;
        P[H[f]]=f;
    }
}
inline void Add( int& N, int vertex, int cost )
{
    H[++N]=vertex;
    P[vertex]=N;
    d[vertex]=cost;
    UpHeap(N);
}
inline int GetFirst( int& N )
{
    int r=H[1];
    H[1]=H[N];
    P[H[1]]=1;
    --N;
    DownHeap( N, 1 );
    return r;
}

int main(int argc, char** argv)
{
    int N, M, x, y, c, lHeap=1;
    ifstream in( "dijkstra.in" );
    for( in>>N>>M; M; --M )
    {
        in>>x>>y>>c;
        G[x].push_back( vertex( y, c ) );
    }
    H[1]=1;
    while( lHeap )
    {
        x=GetFirst(lHeap);
        for( it=G[x].begin(), iend=G[x].end(); it < iend; ++it )
        {
            if( false == was[it->y] )
            {
                was[it->y]=true;
                Add( lHeap, it->y, it->c+d[x] );
               continue;
            }
            if( it->c+d[x] < d[it->y] )
            {
                
                d[it->y]=it->c+d[x];
                UpHeap( P[it->y] );
            }
        }
    }
    ofstream out( "dijkstra.out" );
    copy( d+2, d+N+1, ostream_iterator<int>(out," ") );
    out<<'\n';
    return 0;
}