#include <fstream>
#include <queue>
#include <vector>
#include <functional>

using namespace std;

ifstream f("dijkstra.in");
ofstream g("dijkstra.out");

int n, m, a, b, c;
vector<vector<pair<int, int>>> edges;
vector<int> cost;
priority_queue<int, vector<int>, function<bool(int, int)>> pq([](int a, int b) { return cost[a] > cost[b]; });

int main()
{
    f >> n >> m;
    edges.resize(n + 1);
    cost.resize(n + 1, INT_MAX);

    while (m--)
        f >> a >> b >> c,
        edges[a].push_back(make_pair(b, c));

    pq.push(1);
    cost[1] = 0;

    while (!pq.empty())
    {
        int x = pq.top();
        pq.pop();

        for (auto const& p : edges[x])
            if (cost[p.first] > cost[x] + p.second)
                cost[p.first] = cost[x] + p.second,
                pq.push(p.first);
    }

    for (int i = 2; i <= n; ++i)
        g << ((cost[i] < INT_MAX) ? cost[i] : 0) << ' ';

    return 0;
}