#include<iostream>
#include<algorithm>
#include<cstring>
#include<queue>
const int maxn=100005;
const int inf=999999;
using namespace std;
struct Edge
{
int next;
int to;
int w;
}edge[maxn];
struct node
{
int num;
int dist;
node(int _num=0,int _dist=0):num(_num),dist(_dist){}
friend bool operator<(node a,node b)
{
return a.dist>b.dist;
}
};
int head[maxn];
int s[maxn];
int n,m,cnt;
int dis[maxn];
bool vis[maxn];
void add(int u,int v,int w)
{
edge[cnt].next=head[u];
edge[cnt].to=v;
edge[cnt].w=w;
head[u]=cnt++;
}
void dij(int x)
{
priority_queue<node>que;
memset(dis,0x3f,sizeof(dis));
memset(vis,0,sizeof(vis));
dis[x]=0;
que.push(node(x,0));
while(!que.empty())
{
node p=que.top();
que.pop();
int now=p.num;
for(int i=head[now];i!=-1;i=edge[i].next)
{
Edge e=edge[i];
if(dis[e.to]>dis[now]+e.w)
{
dis[e.to]=dis[now]+e.w;
que.push(node(e.to,dis[e.to]));
}
}
}
}
int main()
{
int x,y,w;
while(cin>>n>>m)
{
cnt=0;
memset(head,-1,sizeof(head));
for(int i=1;i<=m;i++)
{
cin>>x>>y>>w;
add(x,y,w);
}
dij(1);
cout<<dis[9]<<endl;
}
return 0;
}