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#include <bits/stdc++.h>
using namespace std;
#define SIZE(x) ((int) (x).size())
#define ALL(x) (x).begin(), (x).end()
typedef long long int64; typedef unsigned long long uint64;
static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL;
const int NMAX = 50005;
vector<pair<int, int>> adj[NMAX];
int dist[NMAX];
void dijkstra(int source) {
dist[source] = 0;
set<pair<int, int>> q;
q.insert({dist[source], source});
while (!q.empty()) {
int u = q.begin()->second, du = q.begin()->first;
q.erase(q.begin());
if (dist[u] < du) continue;
for (pair<int, int>& e : adj[u]) {
int v = e.second, w = e.first;
if (dist[v] > dist[u] + w) {
dist[v] = dist[u] + w;
q.insert({dist[v], v});
}
}
}
}
int main() {
freopen("dijktra.in", "r", stdin);
freopen("dijkstra.out", "w", stdout);
int N, M; cin >> N >> M;
for (int i = 0; i < M; i++) {
int x, y, w; cin >> x >> y >> w;
adj[x].push_back({w, y});
}
memset(dist, INF, sizeof(dist));
dijkstra(1);
for (int i = 1; i <= N; i++) if (dist[i] == INF) dist[i] = 0;
int num = 0;
for (int i = 2; i <= N; i++) {
if (num++) cout << " ";
cout << dist[i];
}
cout << endl;
}