#include<bits/stdc++.h>
using namespace std;
#define INF 0x3f3f3f3f
int dis[];
int visit[];
int SSSP[][];
void dijkstra(int x,int n)
{
int pos;
int minn;
for(int i=;i<=n;i++)
{
dis[i]=SSSP[][i];
}
visit[x]=;
dis[x]=;
for(int i=;i<=n;i++)
{
minn=INF;
pos=;
for(int j=;j<=n;j++)
{
if(!visit[j]&&dis[j]<minn)
{
pos=j;
minn=dis[j];
} }
if(pos==) break;
else
{
visit[pos]=;
for(int j=;j<=n;j++)
{
if(!visit[j]&& dis[pos]+SSSP[pos][j]<dis[j])
dis[j]=dis[pos]+SSSP[pos][j];
}
} }
}
int main()
{
while()
{
int n,m; cin>>n>>m;
if(n==&&m==) break; int zzzzz=; memset(visit,,sizeof(visit));
memset(dis,,sizeof(dis));
memset(SSSP,,sizeof(SSSP)); for(int i=;i<=n;i++)
{
for(int j=;j<=n;j++)
SSSP[i][j]=INF;
}
int a[];
int b[];
int t[];
for(int i=;i<=m;i++)
{
cin>>a[i]>>b[i]>>t[i];
SSSP[a[i]][b[i]]=t[i];
SSSP[b[i]][a[i]]=t[i];
}
dijkstra(,n); //cout<<"*****"<<dis[n]<<"*******"<<zzzzz<<"******"<<endl;
if(dis[n]==INF)
{
zzzzz=;
}
int maxn=dis[n]; for(int i=;i<n;i++)
{
// qu dian chong ding yi
if(zzzzz==) break;
for(int j=;j<=n;j++)
{
for(int j1=;j1<=n;j1++)
SSSP[j][j1]=INF;
}
for(int j=;j<=m;j++)
{
SSSP[a[j]][b[j]]=t[j];
SSSP[b[j]][a[j]]=t[j];
if(a[j]==i||b[j]==i)
{
SSSP[a[j]][b[j]]=INF;
SSSP[b[j]][a[j]]=INF;
}
}
// chong ding yi visit[] dis memset(visit,,sizeof(visit));
memset(dis,,sizeof(dis)); dijkstra(,n); // cout<<"*****"<<dis[n]<<"*******"<<zzzzz<<"******"<<endl;
if(dis[n]==INF)
{
zzzzz=;
}
if(dis[n]>maxn) maxn=dis[n];
}
if(zzzzz==)
cout<<maxn<<endl;
if(zzzzz==)
cout<<"Inf"<<endl;
}
}

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