This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
K stands for "Khongbietcode"
grade 11 computer science
Tran Dai Nghia Highschool for the gifted
*/
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define endl '\n'
#define fastIO ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0)
#define ll long long
#define pb push_back
#define ull unsigned long long
#define llll pair<ll,ll>
#define llllm map<ll,ll>
#define gcd(a,b) __gcd(a,b)
#define lcm(a,b) a*b/gcd(a,b)
#define X first
#define Y second
#define INF 1LL<<62
using namespace std;
using namespace __gnu_pbds;
struct edge
{
ll v,color,w;
bool operator > (const edge a) const
{
return w>a.w;
}
};
const ll N=1e5+1;
vector<edge> a[N];
map<ll,ll> sum[N];
map<ll,ll> cnt[N];
ll d[N];
void solve(){
ll n,m;
cin >> n >> m;
for(int i=0;i<m;i++)
{
ll u,v,w,c;
cin >> u >> v >> c >> w;
a[u].pb({v,c,w});
a[v].pb({u,c,w});
sum[u][c]+=w;
sum[v][c]+=w;
}
for(int i=2;i<=n;i++)
{
d[i]=INF;
}
priority_queue< llll,vector<llll>,greater<llll> > pq;
pq.push({0,1});
while(pq.size())
{
llll top=pq.top();
pq.pop();
// cout << top.Y << '\n';
if(top.X!=d[top.Y]) continue;
for(auto i:a[top.Y])
{
if(cnt[i.v].find(i.color)==cnt[i.v].end())
{
cnt[i.v][i.color]=top.Y;
}
ll w=top.X;
auto f=cnt[top.Y].find(i.color);
if(f!=cnt[top.Y].end())w=f->Y;
// pq.push({d[top.Y]=min({w+sum[top.Y][i.color]-i.w,top.X+i.Y}),i.v});
if(d[i.v]>min(d[top.Y]+i.w,w+sum[top.Y][i.color]-i.w))
{
pq.push({d[i.v]=min(w+sum[top.Y][i.color]-i.w,d[top.Y]+i.w),i.v});
}
}
}
if(d[n]>=INF)
{
cout << -1;
}
else
{
cout << d[n];
}
}
int main(){
fastIO;
// freopen("tdk.inp","r",stdin);
// freopen("tdk.out","w",stdout);
//freopen("tdk.err","b",stderr);
int t=1;
//cin>>t;
while(t--){
solve();
cout << endl;
}
// cout << "\n" << (double)clock() / CLOCKS_PER_SEC * 1000 << " ms";
return 0;
}
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