#include <queue>
#include <vector>
#include <cstring>
#include <fstream>
using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

const int inf = 1000000000;
vector<pair<int, int> > g[50005];
int n, m, dist[50005];

void citire() {
    fin >> n >> m;
    while(m--) {
        int x, y, c;
        fin >> x >> y >> c;
        g[x].push_back({y, c});
    }
}

void solve() {
    for(int i = 1; i <= n; i++) dist[i] = -1;
    priority_queue<pair<int, int> >q;
    q.push({0, 1});

    while(!q.empty()) {
        int curr = q.top().second;
        int d = q.top().first;
        q.pop();

        if(dist[curr] != -1) continue;
        dist[curr] = -d;

        for(auto next: g[curr])
            q.push({-dist[curr]-next.second, next.first});
    }
}

void afis() {
    for(int i = 2; i <= n; i++)
        fout << ((dist[i] == -1) ? 0 : dist[i]) << ' ';
}

int main() {
    citire();
    solve();
    afis();
}