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>
using namespace std;
#define ll long long
#define int ll
#define FOR(i, a, b) for (int i=(a); i<(b); i++)
#define REP(i, n) FOR(i, 0, n)
#define REP1(i, n) FOR(i, 1, n+1)
#define pii pair<int, int>
#define ppi pair<int, pii>
#define f first
#define s second
#define pb push_back
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) (int)((x).size())
// #define TOAD
#ifdef TOAD
#define bug(x) cerr<<__LINE__<<": "<<#x<<" is "<<x<<endl
#define IOS()
#else
#define bug(...)
#define IOS() ios::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#endif
const ll maxn = 1e5+5;
const ll maxm = 2e5+5;
map<pii, bool> occ; // the special dp[i][j] state (if it is alr determined or not)
vector<int> dpv(maxn);
priority_queue<ppi, vector<ppi>, greater<ppi> > pq;
map<pii, int> vord;
map<pii, int> colcnt;
struct edge{
int to, c, p;
int idc; // for that node, the rank of the color
bool operator <(edge b){
return c<b.c;
}
};
vector<edge> e[maxn];
vector<vector<int> > ec;
int n, m;
signed main(){
IOS();
cin>>n>>m;
REP(i, m){
int u, v, c, p; cin>>u>>v>>c>>p;
e[u].pb({v, c, p, 0});
e[v].pb({u, c, p, 0});
}
REP1(i, n){
sort(ALL(e[i]));
vector<int> tmp;
REP(j, SZ(e[i])){
tmp.pb(j);
if (j==SZ(e[i])-1 ||e[i][j+1].c!=e[i][j].c){
vord[{i, e[i][j].c}]=SZ(ec);
ec.pb(tmp);
tmp.clear();
}
colcnt[{i, e[i][j].c}]+=e[i][j].p;
}
}
// compute dp
pq.push({0, {1, 0}});
int ans = -1;
while(pq.size()){
ppi tmp = pq.top(); pq.pop();
if (occ.count(tmp.s)) continue;
// cout<<tmp.f<<' '<<tmp.s.f<<' '<<tmp.s.s<<endl;
occ[tmp.s]=1;
if (tmp.s.f == n && tmp.s.s == 0){
ans=tmp.f;
break;
}
if (tmp.s.s == 0){
REP(i, SZ(e[tmp.s.f])){
edge tx = e[tmp.s.f][i];
if (!occ.count({tx.to, tx.c})){
pq.push({tmp.f, {tx.to, tx.c}});
}
if (!occ.count({tx.to, 0})){
// cout<<tmp.s.f<<' '<<tx.c<<' '<<colcnt[{tmp.s.f, tx.c}]<<endl;
pq.push({min(tx.p+tmp.f, colcnt[{tmp.s.f, tx.c}]-tx.p+tmp.f), {tx.to, 0}});
}
}
}
else{
int poop = vord[tmp.s];
REP(i, SZ(ec[poop])){
int tid = ec[poop][i];
edge tx = e[tmp.s.f][tid];
if (!occ.count({tx.to, 0})){
pq.push({colcnt[{tmp.s.f, tx.c}]-tx.p+tmp.f, {tx.to, 0}});
}
}
}
}
cout<<ans<<endl;
}
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