#include <bits/stdc++.h>
using namespace std;

#define distance distance1337

#define int long long
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define fi first
#define se second

const int maxn = 3100;
const int mod = 1e9 + 7;
const int k = 2; // log2 max c_i + epsilon

struct distance {
    bitset<1 + maxn> bs;
    distance() {
        bs = 0;
    }
    distance(int num) {
        if(num == -1) {
            bs.set();
        } else {
            bs = num;
        }
    }
    distance(bitset<1 + maxn> bs_) {
        bs = bs_;
    }
    bool operator < (const distance &other) const {
        // reversed
        for(int i = maxn; i >= 0; i--) {
            if(other.bs[i] ^ bs[i]) {
                if(other.bs[i] > bs[i]) {
                    return false;
                } else {
                    return true;
                }
            }
        }
        return false;
    }
    // debug
    void print() {
        cout << bs.to_ullong();
    }
};

const distance inf = distance(-1);

int n, m;
vector<pii > graph[1 + maxn];
distance dist[1 + maxn][1 + k];
bool done[1 + maxn][1 + k];
int steps[1 + maxn];

void solve() {
    cin >> n >> m;
    for(int i = 1; i <= m; i++) {
        int a, b, c;
        cin >> a >> b >> c;
        graph[a].pb(mp(b, c));
        graph[b].pb(mp(a, c));
    }
    queue<int> bfsq;
    bfsq.push(1);
    while(!bfsq.empty()) {
        int cur = bfsq.front();
        bfsq.pop();
        for(pii nei : graph[cur]) {
            if(nei.fi != 1 && steps[nei.fi] == 0) {
                bfsq.push(nei.fi);
                steps[nei.fi] = steps[cur] + 1;
            }
        }
    }
    priority_queue<pair<distance, pii > > q;
    for(int i = 1; i <= n; i++) {
        for(int j = 0; j <= k; j++) {
            dist[i][j] = distance(-1);
        }
    }
    dist[1][0].bs = 0;
    q.push(mp(dist[1][0], mp(1, 0)));
    while(!q.empty()) {
        pii curpair = q.top().se;
        q.pop();
        int cur = curpair.fi, cur_steps = curpair.se;
        int cur_idx = cur_steps - steps[cur];
        // cout << cur << " " << cur_steps << " " << cur_idx << ":\n";
        if(done[cur][cur_idx]) {
            continue;
        }
        done[cur][cur_idx] = true;
        if(cur_steps >= n) {
            continue;
        }
        for(pii nei : graph[cur]) {
            int nei_idx = cur_steps + 1 - steps[nei.fi];
            if(nei_idx > k) {
                continue;
            }
            bitset<1 + maxn> tmp = (bitset<1 + maxn>(nei.se) << cur_steps);
            int carry = 0;
            for(int i = 0; i <= maxn; i++) {
                int sum = dist[cur][cur_idx].bs[i] + tmp[i] + carry;
                carry = sum / 2;
                tmp[i] = sum % 2;
            }
            distance neidist = distance(tmp);
            // distance neidist = distance(dist[cur][cur_idx].bs + (bitset<1 + maxn>(nei.se) << cur_steps));
            // reversed
            if(dist[nei.fi][nei_idx] < neidist) {
                dist[nei.fi][nei_idx] = neidist;
                q.push(mp(neidist, mp(nei.fi, cur_steps + 1)));
            }
        }
    }
    /*for(int i = 1; i <= n; i++) {
        for(int j = 0; j <= k; j++) {
            if(dist[i][j].bs[maxn] == 0) {
                dist[i][j].print();
            } else {
                cout << "-1";
            }
            cout << " ";
        }
        cout << "\n";
    }*/
    for(int i = 2; i <= n; i++) {
        distance ans_bs(-1);
        for(int j = 0; j <= k; j++) {
            ans_bs = max(ans_bs, dist[i][j]);
        }
        int ans = 0;
        int coeff = 1;
        for(int i = 0; i <= maxn; i++) {
            ans += coeff * ans_bs.bs[i];
            ans %= mod;
            coeff = (2 * coeff) % mod;
                    }
        cout << ans % mod << "\n";
    }
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
}