/*
 * Supr*
*/

#include <cstdio>
#include <vector>
#include <queue>
#define pb push_back
#define INF 1e9
#define NMAX 50005

using namespace std;

/* FILES */
FILE *f = freopen("dijkstra.in", "r", stdin);
FILE *g = freopen("dijkstra.out", "w", stdout);

/* Data structures */
struct node{
    int y, cost;
    bool operator < (const node& other) const {
        return cost > other.cost;
    }
    node(int y, int cost) {
        this -> y = y;
        this -> cost = cost;
    }
};

/* Declarations */
int dist[NMAX], n = 0, m = 0;
vector <node> G[NMAX];
priority_queue <node> Q;

/* Dijkstra's Algorithm */

void dijkstra(int start) {
    for(int i = 1; i<=n; i++) {
        dist[i] = INF;
    }
    dist[start] = 0;

    Q.push(node(start, dist[start]));
    while(!Q.empty()) {
        int nod = Q.top().y;
        Q.pop();

        for(auto it:  G[nod]) {
            if(dist[nod] + it.cost < dist[it.y]) {
                dist[it.y] = dist[nod] + it.cost;
                Q.push(node(it.y, dist[it.y]));
            }
        }
    }
}

/* Read Data */

void read_data() {
    scanf("%d%d", &n, &m);
    for(int i = 1; i<=m; i++) {
        int x, y, cost;
        scanf("%d%d%d", &x, &y, &cost);
        G[x].pb(node(y, cost));
    }
}

/* Print result */

void print_res() {
    /*
     * Will print from index 2, assuming we start in node 1
    */
    for(int i = 2; i<=n; i++) {
        dist[i] != INF ? printf("%d ", dist[i]) : printf("0 ");
    }
}

int main() {
    read_data();
    dijkstra(1);
    print_res();
    return 0;
}