#include <iostream>
#include <fstream>
#include <vector>
#include <queue>

using namespace std;
ifstream in("dijkstra.in");
ofstream out("dijkstra.out");

#define ll long long
#define pb push_back
const int NMax = 5e4 + 5;
const int inf = 1e9 + 5;

int N,M;
int dist[NMax];

struct elem {
    int y,c;
    elem (int _y = 0,int _c = 0) {
        y = _y;
        c = _c;
    }
};
vector<elem> v[NMax];

bool operator <(elem a,elem b) {
    return a.c > b.c;
}

int main() {
    in>>N>>M;
    for (int i=1;i <= M;++i) {
        int x,y,c;
        in>>x>>y>>c;
        v[x].pb(elem(y,c));
    }

    for (int i=2;i <= N;++i) {
        dist[i] = inf;
    }
    dist[1] = 0;

    priority_queue<elem> Q;
    Q.push(elem(1,0));
    while (Q.size()) {
        elem e = Q.top();
        Q.pop();
        if (e.c > dist[e.y]) {
            continue;
        }

        int node = e.y;
        for (auto nextElem : v[node]) {
            int nxt = nextElem.y, cost = nextElem.c;
            if (dist[nxt] <= dist[node] + cost) {
                continue;
            }

            dist[nxt] = dist[node] + cost;
            Q.push(elem(nxt,dist[nxt]));
        }
    }

    for (int i=2;i <= N;++i) {
        out<<( (dist[i] == inf) ? 0 : dist[i])<<' ';
    }

    in.close();out.close();
    return 0;
}