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#include <bits/stdc++.h>
using namespace std;
ifstream in("dijkstra.in");
ofstream out("dijkstra.out");
int n, m, dp[50100], x, y, c;
priority_queue <pair <int, int> > q;
pair <int, int> w;
vector <pair <int, int> > v[50100];
void dij(){
for(int i = 1; i <= n; i++)
dp[i] = 2e9;
dp[1] = 0;
q.push({0, 1});
while(!q.empty()){
w = q.top();
q.pop();
if(-w.first > dp[w.second])
continue;
for(auto i : v[w.second])
if(-w.first + i.second < dp[i.first]){
dp[i.first] = -w.first + i.second;
q.push({-dp[i.first], i.first});
}
}
}
int main(){
in >> n >> m;
while(in >> x >> y >> c)
v[x].push_back({y, c});
dij();
for(int i = 2; i <= n; i++)
out << (dp[i] == 2e9 ? 0 : dp[i]) << ' ';
return 0;
}