#include "bits/stdc++.h"
using namespace std;
#define int long long
#define FOR(i, a, b) for(int i=(a);i<(b);i++)
#define RFOR(i, a, b) for(int i=(b-1);i>=(a);i--)
#define REP(i, n) for(int i=0; i<(n); i++)
#define RREP(i, n) for(int i=(n-1); i>=0; i--)
#define ALL(a) (a).begin(),(a).end()
#define UNIQUE_SORT(l) sort(ALL(l)); l.erase(unique(ALL(l)), l.end());
#define CONTAIN(a, b) find(ALL(a), (b)) != (a).end()
#define array2(type, x, y) array<array<type, y>, x>
#define vector2(type) vector<vector<type> >
#define out(...) //printf(__VA_ARGS__)

typedef pair<int, int> pos;
int pos::*x = &pos::first;
int pos::*y = &pos::second;

int dxy[] = {0, 1, 0, -1, 0};

/*================================*/

int N, M, a, b, c;
int A[20], B[20];

signed main()
{
#if DEBUG
    std::ifstream in("input.txt");
    std::cin.rdbuf(in.rdbuf());
#endif
    
    cin >> N >> M;
    vector< vector<pos> > R(M);
    REP(i, M) {
        cin >> a >> b >> c;
        a--;
        b--;
        R[a].push_back(*new pos(b, c));
        R[b].push_back(*new pos(a, c));
    }
    int DP[N];
    REP(i, N) DP[i] = INT_MAX;
    auto c = [](pos l, pos r) { return l.second > r.second; };
    priority_queue<pos, std::vector<pos>, decltype(c)> q(c);
    DP[0] = 0;
    q.push(*new pos(0, 0));
    while(!q.empty()) {
        pos item = q.top();
        q.pop();
        int index = item.first;
        int cost = item.second;
        for (auto route: R[index]) {
            int ni = route.first;
            int newCost = cost + route.second;
            if (newCost < DP[ni]) {
                DP[ni] = newCost;
                q.push(*new pos(ni, newCost));
            }
        }
    }
    
//    REP(i, N) cout << DP[i] << endl;
    
    // first: total cost, second: longest cost
    vector<pos> DP2(N);
    REP(i, N) DP2[i].first = INT_MAX;
    DP2[0].first = 0;
    DP2[0].second = 0;
    q.push(*new pos(0, 0));
    while(!q.empty()) {
        pos item = q.top();
        q.pop();
        int index = item.first;
        int totalCost = DP2[index].first;
        int longest = DP2[index].second;
        for (auto route: R[index]) {
            int ni = route.first;
            int newCost = totalCost + route.second;
            int newLongest = max(longest, route.second);
            int currentFactCost = DP2[ni].first - DP2[ni].second;
            int factCost = newCost - newLongest;
            if (factCost < currentFactCost) {
                DP2[ni].first = newCost;
                DP2[ni].second = newLongest;
                q.push(*new pos(ni, factCost));
            }
        }
    }
    
    REP(i, N) cout << DP[i] + DP2[i].first - DP2[i].second << endl;

    return 0;
}