#include <iostream>
#include <queue>
#include <vector>
#include <fstream>
std::ifstream f("dijkstra.in");
std::ofstream g("dijkstra.out");
class Edge {
    public:
        int source;
        int dest;
        int cost;
    Edge() : source(0), dest(0) {}
    Edge(int _s) : source(-1), dest(_s), cost(0) {}
    Edge(int _source, int _dest, int _cost) : source(_source), dest(_dest), cost(_cost) {}
};

class EdgeComparator {
public:
    bool operator()(Edge a,  Edge b) {
        return a.cost > b.cost;
    }
};

class Graph {
public:
    int nodes;
    std::vector < std::vector<Edge> > graph;
    Graph(int n) {
        for (int i = 0 ; i < 1 + n ; ++i) 
            graph.push_back(std::vector<Edge>());
        nodes = n;
    }
    void addEdge(int s, int d, int c, int directed=1) {
        Edge e1 = Edge(s, d, c);
        graph[s].push_back(e1);
    }
};

std::vector<int> dist(100001, 1e9);
class EdgeEntryComparator {
public:
    bool operator()(int a,  int b) {
        return dist[a] > dist[b];
    }
};

std::vector<int> dijkstra(Graph g, int source) {
    for (int i =0 ; i <= g.nodes; ++i)
        dist[i] = 1e9;
    std::priority_queue<int, std::vector<int>, EdgeEntryComparator> pq;
    bool isinqueue[100001] = {false};
    
    dist[source] = 0;
    pq.push(source);
    isinqueue[source] = true;

    while(!pq.empty()) {
        int node = pq.top();
        pq.pop();
        isinqueue[node] = false;
        for (auto& edge : g.graph[node]) {
            int neigh = edge.dest;
            // std:: cout << node << " -> " << neigh << " curent cost: " <<  dist.at(neigh) << "\n";
            if (neigh != node && dist.at(neigh) > dist.at(node) + edge.cost) {
                // std:: cout << "Adding: " << node << " -> " << neigh << " :: " << edge->cost << "\n";
                dist.at(neigh) = dist.at(node) + edge.cost;
                if (isinqueue[neigh] == false) {
                    pq.push(neigh);
                    isinqueue[neigh] = true;
                }
            }
        }
    }
    for (auto& x : dist) {
        if (x == 1e9)
            x = -1;
    }
    return dist;
}

template <typename T>
void logvec(std::vector<T> vec, int offset = 0, int n = 2) {
    for (int i = offset; i <= n; ++i) {
        if (vec[i] == -1)
            g <<"0 ";
        else g << vec[i] << " ";
    }
}
template <typename T>
void logvec(T vec[100001], int offset = 0, int n = 2) {
    for (int i = offset; i <= n; ++i) {
        if (vec[i] == -1)
            g <<"0 ";
        else g << vec[i] << " ";
    }
}

int main() {
    int n, m, so = 1;
    f >> n >> m;
    Graph g(n);
    int s, d, c;

    while(f >> s >> d >> c) {
        // std:: cout << s << d << c << "\n";
        g.addEdge(s, d, c, 1);
    }
    // std::cout << "dijkstra\n";
    logvec(dijkstra(g, so), 2, n);
}