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#include<cstdio>
#include<queue>
#include<vector>
#define maxn 50100
#define INF 0x3f3f3f3f
using namespace std;
queue <int> q;
vector <int> G[maxn], C[maxn];
int i,n,m,x,y,c,d[maxn];
int main()
{
freopen("dijkstra.in","r",stdin);
freopen("dijkstra.out","w",stdout);
scanf("%d%d",&n,&m);
for(i=2;i<=n;i++)
d[i]=INF;
while(m--)
{
scanf("%d%d%d",&x,&y,&c);
G[x].push_back(y);
C[x].push_back(c);
}
q.push(1);
while(!q.empty())
{
x=q.front();
for(i=0;i<G[x].size();i++)
if(d[G[x][i]]>d[x]+C[x][i])
{
d[G[x][i]]=d[x]+C[x][i];
q.push(G[x][i]);
}
q.pop();
}
for(i=2;i<=n;i++)
{
printf("%d ",d[i]==INF ? 0 : d[i]);
}
return 0;
}