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#include <bits/stdc++.h>
#define NMAX 50001
#define INF 1<<30
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n, m, a, b, c;
vector<int> G[NMAX], C[NMAX];
queue<int> Q;
int dmin[NMAX];
void bellmanFord(int node) {
Q.push(node);
while(!Q.empty()) {
int x = Q.front();
Q.pop();
for(int i = 0; i < G[x].size(); i++) {
if(dmin[x] + C[x][i] < dmin[G[x][i]]) {
dmin[G[x][i]] = dmin[x] + C[x][i];
Q.push(G[x][i]);
}
}
}
}
int main()
{
fin >> n >> m;
for(int i = 2; i <= n; i++) dmin[i] = INF;
while(m--) {
fin >> a >> b >> c;
G[a].push_back(b);
C[a].push_back(c);
}
bellmanFord(1);
for(int i = 2; i <= n; i++) {
if(dmin[i] == INF) fout << 0 << ' ';
else fout << dmin[i] << ' ';
}
return 0;
}