This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#pragma GCC optimize ("O2,unroll-loops")
//#pragma GCC optimize("no-stack-protector,fast-math")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef pair<ll, int> pll;
#define debug(x) cerr<<#x<<'='<<(x)<<endl;
#define debugp(x) cerr<<#x<<"= {"<<(x.first)<<", "<<(x.second)<<"}"<<endl;
#define debug2(x, y) cerr<<"{"<<#x<<", "<<#y<<"} = {"<<(x)<<", "<<(y)<<"}"<<endl;
#define debugv(v) {cerr<<#v<<" : ";for (auto x:v) cerr<<x<<' ';cerr<<endl;}
#define all(x) x.begin(), x.end()
#define pb push_back
#define kill(x) return cout<<x<<'\n', 0;
const int inf=1000000010;
const ll INF=1000000000000001000LL;
const int mod=1000000007;
const int MAXN=800010, LOG=20;
int n, m, k, u, v, x, y, t, a, b;
int A[MAXN], B[MAXN], C[MAXN], P[MAXN];
ll P2[MAXN], sum[MAXN];
ll dist[MAXN];
bool mark[MAXN];
int mark2[MAXN];
vector<int> G[MAXN];
priority_queue<pll, vector<pll>, greater<pll>> pq;
inline void upd(int v, ll d){ if (dist[v]>d) pq.push({dist[v]=d, v});}
inline bool cmp(int i, int j){ return C[i]<C[j];}
inline bool cmp2(int i, int j){
if (C[i]!=C[j]) return C[i]<C[j];
return P[i]>P[j];
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
cin>>n>>m;
for (int i=0; i<2*m; i++){
cin>>u>>v>>x>>y;
A[i]=u, B[i]=v, C[i]=x, P[i]=y, G[u].pb(i);
swap(u, v);
i++;
A[i]=u, B[i]=v, C[i]=x, P[i]=y, G[u].pb(i);
}
for (int i=1; i<=n; i++){
sort(all(G[i]), cmp2);
for (int j:G[i]) sum[C[j]]=0;
for (int j:G[i]) sum[C[j]]+=P[j];
for (int j:G[i]) P2[j]+=sum[C[j]];
}
memset(dist, 63, sizeof(dist));
for (int i:G[1]){
upd(i<<1, P2[i]-P[i]);
upd(i<<1 | 1, P[i]);
}
while (pq.size()){
int st=pq.top().second;
pq.pop();
if (mark[st]) continue ;
mark[st]=1;
int id=(st>>1), last=(st&1);
int v=B[id];
if (v==n) kill(dist[st]);
if (!mark2[v]){
mark2[v]=1;
for (int i:G[v]){
upd(i<<1 | 1, dist[st]+P[i]);
if (C[id]!=C[i]) upd(i<<1, dist[st]+P2[i]-P[i]);
else if (last) upd(i<<1, dist[st]+P2[i]-P[i]-P[id]);
}
}
else if (last){
auto it=lower_bound(all(G[v]), id, cmp);
while (it!=G[v].end() && C[*it]==C[id]){ // O(1) times
int i=*(it++);
if (P2[i]-P[i]-P[id]>=P[i]) break ;
upd(i<<1, dist[st]+P2[i]-P[i]-P[id]);
}
}
}
cout<<"-1\n";
return 0;
}
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