#include <iostream>
#include <cstring>
#include <cstdio>
#include <queue>
#include <stack>
#include <cmath>
#include <map>
#include <algorithm>
#include <vector>
#include <cstring>
using namespace std;
#define ll long long
#define mem(f,x) memset(f,x,sizeof(f));
#define sca(x) scanf("%d",&x);
#define scl(x) scanf("%lld",&x);
#define sca2(x,y) scanf("%d %d",&x,&y);
#define sca3(x,y,z) scanf("%d %d %d",&x,&y,&z);
#define pu puts("");
#define pri(x) printf("%d\n",x);]
const int N =100010,M=1000100;
int head[N],ver[M],edge[M],Next[M];
int d[N];
bool v[N];
int n,m,tot;
priority_queue<pair<int,int>>q;
void add(int x,int y, int z){
ver[++tot]=y,edge[tot]=z,Next[tot]=head[x],head[x]=tot;
}
void dijkstra(){
mem(d,0X3f);
mem(v,0);
d[1]=0;
q.push(make_pair(0,1));
while(q.size()){
int x=q.top().second;q.pop();
if(v[x])continue;
v[x]=1;
for(int i=head[x];i;i=Next[i]){
int y=ver[i],z=edge[i];
if(d[y]>d[x]+z){
d[y]=d[x]+z;
q.push(make_pair(-d[y],y));
}
}
}
}
int main(){
cin>>n>>m;
for(int i=1;i<=m;i++){
int x,y,z;
scanf("%d %d %d",&x,&y,&z);
add(x,y,z);
}
dijkstra();
for(int i=1;i<=n;i++){
printf("%d\n",d[i]);
}
}