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

#define NMAX 50005
#define INF ((1 << 30) - 1)

using namespace std;

typedef pair<int, int> pii;

int n, m, ans[NMAX];
vector<pii> adj[NMAX];
priority_queue<pii> pq;

void dij(const int SN = 1) {
    while(!pq.empty()) {
        const int crt = pq.top().second;
        pq.pop();

        for(const auto &el : adj[crt]) {
            const int ncrt = el.first;
            if(ans[ncrt] > ans[crt] + el.second) {
                ans[ncrt] = ans[crt] + el.second;
                pq.push({-ans[ncrt], ncrt});
            }
        }
    }
}

int main()
{
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);
    scanf("%d%d", &n, &m);
    for(int i = 1; i <= n; ++i)
        ans[i] = INF;
    for(int x, y, z; m; --m) {
        scanf("%d%d%d", &x, &y, &z);
        adj[x].push_back({y, z});
        adj[y].push_back({x, z});
        if(x == 1) pq.push({-z, y}), ans[y] = z;
        if(y == 1) pq.push({-z, x}), ans[x] = z;
    }
    dij();
    for(int i = 2; i <= n; ++i) printf("%d ", ans[i]);
    return 0;
}