//Lib
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<cmath>
#include<ctime>
#include<iostream>
#include<algorithm>
#include<vector>
#include<string>
#include<queue>
#include<set>
#include<map>
using namespace std;
//Macro
#define rep(i,a,b) for(int i=a,tt=b;i<=tt;++i)
#define drep(i,a,b) for(int i=a,tt=b;i>=tt;--i)
#define erep(i,e,x) for(int i=x;i;i=e[i].next)
#define irep(i,x) for(__typeof(x.begin()) i=x.begin();i!=x.end();i++)
#define read() (strtol(ipos,&ipos,10))
#define sqr(x) ((x)*(x))
#define pb push_back
#define PS system("pause");
typedef long long ll;
typedef pair<int,int> pii;
const int oo=~0U>>1;
const double inf=1e100;
const double eps=1e-6;
string name="exp", in=".in", out=".out";
//Var
struct E
{
int next,node,v;
}e[400008];
queue<int> q;
pii p[10008][2],lnk[200008];
int n,m,tot,ans=oo,h[10008];
bool vis[10008];
void add(int a,int b,int c){e[++tot].next=h[a];e[tot].node=b;e[tot].v=c;h[a]=tot;}
void Init()
{
scanf("%d%d",&n,&m);
rep(i,1,n)p[i][1].second=p[i][0].second=oo>>1;
int s,t,w1,w2;
rep(i,1,m)
{
scanf("%d%d%d%d",&s,&t,&w1,&w2);
if(t==1)swap(s,t),swap(w1,w2);
add(s,t,w1);
if(s==1)
{
p[t][0].first=i;
p[t][0].second=w1;
lnk[i].first=t;lnk[i].second=w2;
q.push(t);vis[t]=true;
}
else add(t,s,w2);
}
}
void Push(int v){if(!vis[v])vis[v]=true,q.push(v);}
void Update(int i,int d,int v)
{
if(p[v][0].second>d)
{
if(p[v][0].first!=i)
p[v][1]=p[v][0];
p[v][0].first=i;
p[v][0].second=d;
Push(v);
}
else if(p[v][1].second>d&&p[v][0].first!=i)
{
p[v][1].first=i;
p[v][1].second=d;
Push(v);
}
}
void SPFA()
{
int u,v;
while(!q.empty())
{
u=q.front();q.pop();vis[u]=false;
erep(i,e,h[u])
Update(p[u][0].first,p[u][0].second+e[i].v,e[i].node),
Update(p[u][1].first,p[u][1].second+e[i].v,e[i].node);
}
}
void Work()
{
SPFA();
rep(i,1,m)
{
if(lnk[i].first)
ans=min(ans,p[lnk[i].first][p[lnk[i].first][0].first==i].second+lnk[i].second);
}
cout<<ans<<endl;
}
int main()
{
// freopen((name+in).c_str(),"r",stdin);
// freopen((name+out).c_str(),"w",stdout);
Init();
Work();
return 0;
}
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