#include <bits/stdc++.h>



#define INF 10e9
#define rep(i, a) for (int i = 0; i < (a); i++)
using namespace std;

typedef struct edge
{
    int to;
    int cost;
} edge;

int main()
{
    long long int n, m;
    cin >> n >> m;

    vector<edge> graph[n];
    long long int u, v, c;

    long long int i, j;
    for (i = 0; i < m; i++)
    {
        cin >> u >> v >> c;
        edge e;
        e.to = v - 1;
        e.cost = c;
        graph[u - 1].push_back(e);
        e.to = u - 1;
        graph[v - 1].push_back(e);
    }

    long long int d[2][n];

    for (i = 0; i < n; i++)
    {
        if (i == 0)
        {
            d[0][i] = 0;
            d[1][i] = 0;
        }
        else
        {
            d[0][i] = INF;
            d[1][i] = INF;
        }
    }
    priority_queue<pair<pair<long long int, long long int>, long long int>, vector<pair<pair<long long int, long long int>, long long int>>, greater<pair<pair<long long int, long long int>, long long int>>> q;
    q.push(make_pair(make_pair(0, 0), 0));
    while (!q.empty())
    {
        pair<pair<long long int, long long int>, long long int> p = q.top();
        q.pop();

        long long int v = p.first.first;

        for (i = 0; i < graph[v].size(); i++)
        {
            edge e = graph[v][i];
            if (p.second == 0)
            {
                if (d[0][v] < p.first.second)
                    continue;
                if (d[0][e.to] > d[0][v] + e.cost)
                {
                    d[0][e.to] = d[0][v] + e.cost;
                    q.push(make_pair(make_pair(e.to, d[0][e.to]), 0));
                }
                if (d[1][e.to] > d[0][v])
                {
                    d[1][e.to] = d[0][v];
                    q.push(make_pair(make_pair(e.to, d[1][e.to]), 1));
                }
            }
            else
            {
                if (d[1][v] < p.first.second)
                    continue;
                if (d[1][e.to] > d[1][v] + e.cost)
                {
                    d[1][e.to] = d[1][v] + e.cost;
                    q.push(make_pair(make_pair(e.to, d[1][e.to]), 1));
                }
            }
        }
    }

    for (i = 0; i < n; i++)
    {
        cout << (d[0][i] + d[1][i]) << endl;
    }
}