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#include<bits/stdc++.h>
#pragma GCC optimize("O3")
#define fi first
#define se second
#define pb push_back
#define pf push_front
#define mod 1000000007
using namespace std;
typedef long long ll;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
int n, m, dist[4][200002];
bool was[200002];
vector<pair<int, int> >v[200002];
struct cmp
{
bool operator()(pair<int, int> a, pair<int, int> b)
{
return dist[a.first][a.second] > dist[b.first][b.second];
}
};
priority_queue<pair<int, int>, vector<pair<int, int> >, cmp>q;
void djk(int src, int st)
{
for(int i = 1; i <= n; ++i)
dist[src][i] = (1<<30), was[i] = 0;
dist[src][st] = 0;
q.push({src, st});
while(!q.empty())
{
pair<int, int> nod = q.top();
q.pop();
if(was[nod.second])
continue;
was[nod.second] = 1;
for(int i = 0; i < v[nod.second].size(); ++i)
{
pair<int, int> vecin = v[nod.second][i];
if(dist[nod.first][nod.second] + vecin.second < dist[nod.first][vecin.first])
{
dist[nod.first][vecin.first] = dist[nod.first][nod.second] + vecin.second;
q.push({nod.first, vecin.first});
}
}
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
f >> n >> m;
for(int i = 1; i <= m; ++i)
{
int a, b, c;
f >> a >> b >> c;
v[a].pb({b, c});
// v[b].pb({a, c});
}
djk(1, 1);
for(int i = 2; i <= n; ++i)
{
if(dist[1][i] == (1<<30))
dist[1][i] = 0;
g << dist[1][i] << " ";
}
g << '\n';
return 0;
}