#include <bits/stdc++.h>

using namespace std;

#if 1
    #define pv(x) std::cerr<<#x<<" = "<<(x)<<"; ";std::cerr.flush()
    #define pn std::cerr<<std::endl
#else
    #define pv(x)
    #define pn
#endif

#ifdef INFOARENA
    ifstream in("dijkstra.in");
    ofstream out("dijkstra.out");
#else
    #define in cin
    #define out cout
#endif

using ll = long long;
using ull = unsigned long long;
using uint = unsigned int;
using ld = long double;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pld = pair<ld, ld>;
#define pb push_back
const double PI = 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862;
const int inf_int = 1e9 + 5;
const ll inf_ll = 1e18 + 5;
const int NMax = 1e5 + 5;
const int dx[] = {-1,0,0,+1}, dy[] = {0,-1,+1,0};
const double EPS = 1e-8;

int dist[NMax];
vector<pii> adj[NMax];

int main() {
    cin.sync_with_stdio(false);
    cin.tie(0);

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

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

    dist[1] = 0;
    set<pii> heap;
    heap.insert({0, 1});
    while (heap.size()) {
        pii p = *heap.begin();
        heap.erase(heap.begin());

        int node = p.second, nodeDist = p.first;

        for (auto p : adj[node]) {
            int nxt = p.first, nxtCost = p.second;
            if (dist[nxt] > nodeDist + nxtCost) {
                heap.erase({dist[nxt], nxt});
                dist[nxt] = nodeDist + nxtCost;
                heap.insert({dist[nxt], nxt});
            }
        }
    }

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

    return 0;
}