This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*input
4 5
1 2 4 4
1 3 2 1
4 3 1 2
4 1 6 1
2 4 2 5
*/
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef tree<int,null_type,less_equal<int>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
//order_of_key #of elements less than x
// find_by_order kth element
using ll=long long;
using ld=double;
using pii=pair<ll,int>;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(int i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()),c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
const ll INF64=1e18+1;
const int INF=0x3f3f3f3f;
const int MOD=1e9+7;
const ld PI=acos(-1);
const ld eps=1e-6;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
inline ll mult(ll a,ll b){
if(a>=MOD) a%=MOD;
if(b>=MOD) b%=MOD;
return (a*b)%MOD;
}
inline ll mypow(ll a,ll b){
if(b<=0) return 1;
ll res=1LL;
while(b){
if(b&1) res=mult(res,a);
a=mult(a,a);
b>>=1;
}
return res;
}
const int maxn=200+5;
const int maxlg=__lg(maxn)+2;
ll dist[maxn][maxn];
bool con(int a,int b,int x,int y,int c){
return (dist[a][b]==dist[a][x]+c+dist[y][b]);
}
int32_t main(){
ios::sync_with_stdio(false),cin.tie(0);
int n,m;
cin>>n>>m;
vector<pair<pii,pii>> v;
map<pair<pii,int>,int> mp;
REP(i,n) REP(j,n) dist[i][j]=INF64;
REP(i,n) dist[i][i]=0;
REP(i,m){
int a,b,c,d;
cin>>a>>b>>c>>d;
--a,--b;
MNTO(dist[a][b],c);
mp[{{a,b},c}]++;
v.pb({{a,b},{c,d}});
}
REP(k,n){
REP(i,n){
REP(j,n){
MNTO(dist[i][j],dist[i][k]+dist[k][j]);
}
}
}
ll ans=INF64;
MNTO(ans,dist[0][n-1]+dist[n-1][0]);
for(auto x:v){
int a=x.f.f,b=x.f.s,c=x.s.f,d=x.s.s;
if(mp[{{a,b},c}]>1){
MNTO(ans,dist[0][b]+dist[a][n-1]+c+d+dist[n-1][0]);
MNTO(ans,dist[0][n-1]+c+d+dist[n-1][b]+dist[a][0]);
}
else{
ll mn=INF64;
REP(i,n){
if(!con(n-1,i,a,b,c) and !con(i,0,a,b,c)){
MNTO(mn,dist[n-1][i]+dist[i][0]);
}
}
MNTO(ans,dist[0][b]+dist[a][n-1]+c+d+mn);
mn=INF64;
REP(i,n){
if(!con(0,i,a,b,c) and !con(i,n-1,a,b,c)){
MNTO(mn,dist[0][i]+dist[i][n-1]);
}
}
MNTO(ans,mn+c+d+dist[n-1][b]+dist[a][0]);
}
}
if(ans==INF64) ans=-1;
cout<<ans;
}
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