This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define here cerr<<"===========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#define ld double
#define ll long long
#define llinf 100000000000000000LL // 10^17
#define pb push_back
#define popb pop_back
#define fi first
#define sc second
#define endl '\n'
#define pll pair<ll,ll>
#define pld pair<ld,ld>
#define sz(a) (ll)(a.size())
#define all(a) a.begin(),a.end()
#define ceri(a,l,r) {cerr<<#a<<": ";for(ll i_ = l;i_<=r;i_++) cerr<<a[i_]<< " ";cerr<<endl;}
#define daj_mi_malo_vremena ios_base::sync_with_stdio(false);cerr.tie(0);cout.tie(0);cin.tie(0);
using namespace std;
using namespace __gnu_pbds;
/*
ll add(ll x,ll y){
x+=y;
if(x<0){
x%=mod;
x+=mod;
}else{
if(x>=mod) x%=mod;
}
return x;
}
ll mul(ll a,ll b){
ll ans = (a*b)%mod;
if(ans<0) ans+=mod;
return ans;
}
typedef tree<int,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
typedef tree<int,null_type,less_equal<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_multiset;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll rnd(ll l,ll r){
return uniform_int_distribution<ll>(l,r)(rng);
}
*/
#define maxn 100005
ll n,m;
map<int,ll> sum[maxn];
map<int,ll> mx[maxn];
ll d[maxn];
bool vis[maxn],vis2[maxn];
map<int,ll> d2[maxn];
struct nxt{
ll fi,p,c,d;
};
bool cmp(nxt a,nxt b){
if(a.d!=b.d) return a.d>b.d;
return a.p>b.p;
}
map<int,vector<nxt> > g[maxn];
queue<nxt> pq;
int main(){
daj_mi_malo_vremena
cin >> n >> m;
for(ll i = 1;i<=m;i++){
ll x,y,c,p;
cin >> x >> y >> c >> p;
sum[x][c]+=p; sum[y][c]+=p;
mx[x][c] = max(mx[x][c],p);
mx[y][c] = max(mx[y][c],p);
g[x][c].pb({y,p,c,0});
g[y][c].pb({x,p,c,0});
}
fill(d,d+maxn,llinf);
d[1] = 0;
pq.push({1,0,0,0});
while(sz(pq)){
nxt e = pq.front(); pq.pop();
ll u = e.fi;
bool f = !!e.c;
if(!f&&e.d!=d[u]) continue;
if(f&&e.d!=d2[u][e.c]) continue;
else vis2[u] = 1;
if(f){
for(nxt a : g[u][e.c]){
ll s = a.fi; ll c = a.c; ll p = a.p;
ll w = sum[u][c]-p;
if(e.d+w<d[s]){
d[s] = e.d + w;
pq.push({s,0,0,d[s]});
}
}
continue;
}
for(auto it : g[u]){
for(nxt a : it.sc){
ll s = a.fi; ll c = a.c; ll p = a.p;
ll w = min(p,sum[u][c]-p);
if(e.d+w<d[s]){
d[s] = e.d + w;
pq.push({s,0,0,d[s]});
}
if(d2[s].count(c)==0||e.d<d2[s][c]){
d2[s][c] = e.d;
pq.push({s,p,c,e.d});
}
}
}
}
ll ans = d[n];
if(ans==llinf) ans = -1;
cout<<ans<<endl;
return 0;
}
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